Envinsa. Coordinate Geometry Service Reference
|
|
- Austin Garrison
- 6 years ago
- Views:
Transcription
1 Envinsa Coordinate Geometry Service Reference
2 Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor or its representatives. No part of this document may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, without the written permission of Pitney Bowes MapInfo Corporation, One Global View, Troy, New York Pitney Bowes MapInfo Corporation. All rights reserved. MapInfo, the MapInfo logo and Envinsa are trademarks of Pitney Bowes MapInfo Corporation and/or its affiliates. Corporate Headquarters: Phone: Fax: Sales: Government Sales: Technical Support: UK and EMEA Headquarters: Phone: Fax: Technical Support: Asia Pacific Headquarters: Phone: Fax: Technical Support: Contact information for all Pitney Bowes MapInfo offices is located at: Products named herein may be trademarks of their respective manufacturers and are hereby recognized. Trademarked names are used editorially, to the benefit of the trademark owner, with no intent to infringe on the trademark. April 23, 2008
3 Table of Contents Chapter 1: Introduction What is the Coordinate Geometry Service? Coordinate Geometry Service Functionality Point-to-Point Distance Calculations Point-in-Region Calculations Geometric Measurements Buffer Calculations Chapter 2: Coordinate Geometry Capabilities Calculating a Point-to-Point Distance Inputs and Behaviors Output Java Code Sample NET Code Sample XML Sample Determining if a Point is in a Region Inputs and Behaviors Handling the Distance Unit Output Java Code Sample NET Code Sample XML Sample Calculating Perimeter, Area, or Volume Inputs and Behaviors Handling the Distance Unit Output Java Code Sample NET Code Sample XML Sample Buffering a Geometry Inputs and Behaviors Output Resolution Examples
4 Distance Examples Java Code Sample XML Sample Chapter 3: Configuration Configuration
5 Introduction 1 Welcome to the Envinsa Platform Web Services. This guide provides descriptions and examples for the developer who is writing applications that will access the Coordinate Geometry Service. The Coordinate Geometry Service performs a collection of calculations on geographic data. In this section: What is the Coordinate Geometry Service? Coordinate Geometry Service Functionality
6 Coordinate Geometry Service Functionality What is the Coordinate Geometry Service? The Coordinate Geometry Service (Cogo) performs geometric calculations and measurements for geographical data represented in Geography Markup Language (GML). The Coordinate Geometry Service computes containment and distance values for geometries, returns a straight-line distance between two points (2D and 3D), verifies a point position relative to a region, returns a buffered region around or inside a geometry, and calculates measurements for perimeter and area, and for the volume formed by projecting a 2D region onto the X/Y plane (supported geometries include: Polygon, CircleByCenterPoint, CircularArc, and Ellipse). Coordinate Geometry Service Functionality The Coordinate Geometry Service has four main operations: Point-to-point distance calculations. Point-in-region calculations. Geometric measurement calculations. Buffer calculations. Point-to-Point Distance Calculations Given a distance unit, two GML points, and a coordinate system, the Coordinate Geometry Service returns a straight-line distance between the two points. Both spherical and Cartesian calculations are supported. (Spherical calculation can be made for 3D point-to-point distance calculations.) If one or both of the points uses a spherical coordinate system (for example, Latitude/Longitude), a spherical calculation is performed. If both points use a Cartesian coordinate system (for example, EPSG:32617), either a Cartesian or a spherical calculation can be performed. The following section shows you how to use this capability: Calculating a Point-to-Point Distance in Chapter 2 on page 10 One scenario in which you would use this type of calculation is to obtain the distance between two airports to determine the flight path distance. Since this distance is based on the curvature of the Earth, a spherical distance is needed to get the distance from one airport to the other. 6
7 Chapter 1: Introduction Point-in-Region Calculations Given a GML point, a GML polygon, and a coordinate system, a point-in-region calculation returns "inside" if the point is inside the polygon, "outside" if the point is outside the polygon, or "boundary" if the point is on the boundary of the polygon. This calculation supports circle, circular-arc, ellipse, and polygon geometries: The following section shows you how to use this capability: Determining if a Point is in a Region in Chapter 2 on page 12 One scenario in which you would use this type of calculation is to obtain whether a city airport is within the city limits. Geometric Measurements Given a two dimension or three dimension GML geometry (Polygon, CircleByCenterPoint, CircularArc, or Ellipse), the Coordinate Geometry Service can return the geometry s perimeter or area, or the volume formed by projecting the geometry onto the X/Y plane. The following section shows you how to use this capability: Calculating Perimeter, Area, or Volume in Chapter 2 on page 15 One scenario in which you would use this type of calculation is to obtain the perimeter and area of a piece of land for a potential real estate acquisition. Coordinate Geometry Service Reference 7
8 Coordinate Geometry Service Functionality Buffer Calculations Given a GML geometry (Point, LineString, Polygon, CircleByCenterPoint, CircularArc, or Ellipse), the Coordinate Geometry Service can return a buffered region either around or inside the geometry. The following section shows you how to use this capability: Buffering a Geometry in Chapter 2 on page 19 One scenario in which you would use this type of calculation is to obtain an area around a route, which you can then search to find gas stations or ATMs along the route. 8
9 Coordinate Geometry Capabilities 2 Before you create an application that uses Coordinate Geometry Service functionality, it s helpful to understand basic concepts and how these concepts are implemented in the Coordinate Geometry Service. This section describes how to develop and use the capabilities of the Coordinate Geometry Service. In this section: Calculating a Point-to-Point Distance Determining if a Point is in a Region Calculating Perimeter, Area, or Volume Buffering a Geometry
10 Calculating a Point-to-Point Distance A Coordinate Geometry point-to-point distance request obtains the distance between two points (for example, two airports or cities). Both spherical and Cartesian calculations are supported. If one or both of the points uses a spherical coordinate system (for example, Latitude/Longitude), a spherical calculation is performed. If both points use a Cartesian coordinate system (for example, EPSG:32617), either a Cartesian or a spherical calculation can be performed. Inputs and Behaviors There are five key pieces of information for a point-to-point distance request: Input Required Description Calculation ID Yes The calculation identifier when multiple calculations are performed in a single request. Type of Distance Calculation Yes The type of point-to-point distance calculation to be performed (spherical or Cartesian). Unit No The unit of measure in which the distance is to be returned. The available units are: kilometer (KM), mile (MI), meter (M), foot (FT), and yard (YD). The default unit for point-to-point distance is KM if not specified in the request. Start Point and End Point Yes The start and end points for the point-to-point distance calculation. Dimension No The number of dimensions: 2 or 3. The default is 2. If 3D points are given, the 3D spherical distance can be calculated. For Cartesian distance calculations, the number of dimensions is always 2. Output The response to a point-to-point distance request is composed of two sections: Output Unit of Measure Distance Value Description The measurement unit of the calculated distance, as specified in the request. The distance from the start point to the end point specified in the request. 10
11 Chapter 2: Coordinate Geometry Capabilities Java Code Sample The following example performs a spherical point-to-point distance calculation in meters between the two points (spoint and epoint). In the request the distance calculation type is set to spherical (DISTANCE_TYPE_SPHERICAL) and the unit of measure is set to meters (DistanceUnit.M). public CogoRequest createspointtopointdistance() { //create a cogo request CogoRequest request = new CogoRequest("Cogo", "4.0", "R1"); Point spoint = GeometryUtils.newPoint( , , null); Point epoint = GeometryUtils.newPoint( , , null); RequestCalculation calculation = new RequestCalculation("POINTTOPOINTDISTANCE"); PointToPointDistance ptp = new PointToPointDistance(spoint, epoint); ptp.setdistancetype(pointtopointdistance.distance_type_spherical); ptp.setdistanceunit(distanceunit.m); calculation.setpointtopointdistance(ptp); request.addrequestcalculation(calculation); } return request;.net Code Sample The following example performs a spherical point-to-point distance calculation between the two points (spoint and epoint). In the request the distance calculation type is set to spherical (DistanceCalculationType.spherical) and the number of calculations to be performed is specified as two (new RequestCalculation[1]). You can perform more than one calculation in a request. private static Request newpointtopointdistancerequest() { CogoRequest drr = new CogoRequest(); drr.requestid = "1"; //Cogo request include one or multiple calculations RequestCalculation[] rc = new RequestCalculation[1]; rc[0] = new RequestCalculation(); rc[0].id ="C1"; //specify start and end points to calculate the distance for Point spoint = GeometryUtils.newPoint( , , "EPSG:4326"); Point epoint = GeometryUtils.newPoint( , , "EPSG:4326"); PointToPointDistance ptp = new PointToPointDistance(); ptp.startpoint = spoint; ptp.endpoint = epoint; ptp.distancetype = DistanceCalculationType.spherical; rc[0].cogocalculation = ptp; drr.requestcalculation = rc; return drr; Coordinate Geometry Service Reference 11
12 Determining if a Point is in a Region } XML Sample The following example performs a Cartesian point-to-point distance calculation in kilometers between the two points (startpoint and endpoint). In the request the distance calculation type is set to Cartesian (distancetype="cartesian") and the unit of measure is set to kilometers (distanceunit="km"). <_RequestParameters xsi:type="ns3:cogorequesttype" xmlns:ns3=" <ns3:calculation ID="POINTTOPOINTDISTANCE"> <ns3:pointtopointdistance distancetype="spherical" distanceunit="m"> <ns3:startpoint> <ns4:pos dimension="2" xmlns:ns4=" </ns4:pos> </ns3:startpoint> <ns3:endpoint> <ns5:pos dimension="2" xmlns:ns5=" </ns5:pos> </ns3:endpoint> </ns3:pointtopointdistance> </ns3:calculation> </_RequestParameters> Determining if a Point is in a Region A Coordinate Geometry point-in-region request obtains a point s position relative to a region. Given a GML point, a GML polygon, and a coordinate system, it returns "inside" if the point is inside the polygon, "outside" if the point is outside the polygon, or "boundary" if the point is on the boundary of the polygon. This calculation supports circle, circular-arc, ellipse, and polygon geometries. Inputs and Behaviors There are four key pieces of information for a point-in-region request: Input Required Description Calculation ID Yes The calculation identifier when multiple calculations are performed in a single request. Tolerance No The allowance or accuracy for the calculation. The tolerance determines the resolution of the polygon. The smaller the tolerance the more points will be used to construct the polygon resulting in more accurate results. Point Yes The point whose position relative to the region is being determined. 12
13 Chapter 2: Coordinate Geometry Capabilities Input Required Description Geometry Yes The geometry being used to determine the point in region. This can be a Polygon, CircleByCenterPoint, CircularArc, or Ellipse. Handling the Distance Unit In order to determine the position of a point relative to a geometric shape (circle, circular arc sector, or ellipse), the shape geometry is expanded to a polygon where the formula depends on a distance unit. The position of the point is then checked against the polygon. This operation also depends on the tolerance. By modifying the distance unit and the tolerance, you may produce different containment results. Distance units are specified through the unit of measure for any linear value (specifically, radius and axis). The Coordinate Geometry Service handles various geometries differently depending on the geometry complexity and number of possible units of measure. For the circle geometry the unit of measure specified for the circle center point will be used as the distance unit. For the ellipse and circular arc geometries, the units of measure for the major and minor axis, or the inner and outer radius, must be the same and are used as the distance unit. Output The response to a point-in-region request is composed of one section: Output Containment Description The position of the point relative to the region: inside, outside, or boundary. Java Code Sample public CogoRequest createspointingeometry() { CogoRequest request = new CogoRequest("Cogo", "4.0", "R1"); //create a cogo request Point point = GeometryUtils.newPoint( , , "EPSG:4326"); CircleByCenterPoint circle = GeometryUtils.getXLSGMLFactory().newCircleByCenterPoint(); circle.setcenter(point.getcoord()); circle.setradius(new Length("M", 100)); RequestCalculation[] calculations = new RequestCalculation[1]; calculations[0] = new RequestCalculation("POINTINGEOMETRY"); PointInGeometry pig = new PointInGeometry(point); pig.setcirclebycenterpoint(circle); pig.settolerance( ); Coordinate Geometry Service Reference 13
14 Determining if a Point is in a Region calculations[0].setpointingeometry(pig); request.setrequestcalculation(calculations); } return request;.net Code Sample private static RequestCalculation newpointincirclecalculation(string calculationid, Point spoint) { RequestCalculation rc = new RequestCalculation(); rc.id =calculationid; PointInGeometry pic = new PointInGeometry(); pic.tolerance = ; //set the reference point pic.point = spoint; //create the center point of the circle Point cpoint = GeometryUtils.newPoint( , , "EPSG:4326"); //create the circle by center point used to verify the containment of the point CircleByCenterPoint circle = GeometryUtils.newCircleByCenterPoint(cPoint, 10, DistanceUnitType.MI); pic.circlebycenterpoint = circle; rc.cogocalculation = pic; return rc; } XML Sample <_RequestParameters xsi:type="ns3:cogorequesttype" xmlns:ns3=" <ns3:calculation ID="POINTINGEOMETRY"> <ns3:pointingeometry tolerance="1.0e-5"> <ns4:point srsname="epsg:4326" xmlns:ns4=" <ns4:pos dimension="2"> </ns4:pos> </ns4:point> <ns6:circlebycenterpoint interpolation="circulararccenterpointwithradius" numarc="1" xmlns:ns6=" <ns6:pos dimension="2"> </ns6:pos> <ns6:radius uom="m">100.0</ns6:radius> </ns6:circlebycenterpoint> </ns3:pointingeometry> </ns3:calculation> </_RequestParameters> 14
15 Calculating Perimeter, Area, or Volume Chapter 2: Coordinate Geometry Capabilities The Coordinate Geometry measurement request obtains the perimeter, area, or volume formed by projecting onto the X/Y plane, of a given GML geometry. These calculations support circle, circulararc, ellipse, and polygon geometries. Inputs and Behaviors There are five key pieces of information for a measurement calculation request: Input Required Description Calculation ID Yes The calculation identifier when multiple calculations are performed in a single request. Type of Calculation Yes The type of measurement calculation being performed (perimeter, area, or volume). Distance Unit No The type of unit used for the calculation. The available units are: kilometer (KM), mile (MI), meter (M), foot (FT), and yard (YD). For more information, see Handling the Distance Unit on page 15. Geometry Yes The geometry on which the measurement calculation is performed. Dimension No The number of dimensions: 2 or 3. The default is 2. You can specify a dimension only when requesting a perimeter calculation for a geometry that has 3D coordinates. In all other cases, specifying a dimension results in an error. Handling the Distance Unit The distance unit may be specified in the request. If this is not specified then a default value is used. The default value for measurement calculations is MI. For perimeter calculations, the unit of measure returned is the same as in the request (for example, MI). For area calculations, the unit of measure returned is the specified unit squared (for example, Square_Mile). For volume calculations, the unit of measure returned is the specified unit cubed (for example, Cubic_Mile). Output The response to a measurement calculation request is composed of two main sections: Output Unit of Measure Description The returned unit of measure for the measurement calculation specified in the request. For perimeter calculations, the unit of measure returned is the same as in the request (for example, MI). For area calculations, the unit of measure returned is the specified unit squared (for example, Square_Mile). For volume calculations, the unit of measure returned is the specified unit cubed (for example, Cubic_Mile). Coordinate Geometry Service Reference 15
16 Calculating Perimeter, Area, or Volume Output Measurement Value Description The resulting value for a perimeter, area, or volume calculation. 16
17 Chapter 2: Coordinate Geometry Capabilities Java Code Sample public CogoRequest createsvolumemeasurement() { CogoRequest request = new CogoRequest("Cogo", "4.0", "R1"); //create a Measurement Volume Request RequestCalculation[] calculations = new RequestCalculation[1]; calculations[0] = new RequestCalculation("VOLUME"); MeasurementCalculation volume = new MeasurementCalculation(); //distanceunit is set by default to MI. Sets the Measurement calculation to Volume volume.setmeasurement(measurementcalculation.measurement_volume); //sets the geometry Polygon polygon = null; try { //creates an instance of the xls factory xlsgmlfactory xlsfactory = (xlsgmlfactory)xlsgmlfactory.newinstance(gmlfactory.xls); //creates the geometry ( Polygon ) DirectPosition[] crdext = new DirectPosition[5]; crdext[0] = xlsfactory.newdirectposition(" "); crdext[1] = xlsfactory.newdirectposition(" "); crdext[2] = xlsfactory.newdirectposition(" "); crdext[3] = xlsfactory.newdirectposition(" "); crdext[4] = xlsfactory.newdirectposition(" "); LinearRing exterior = xlsfactory.newlinearring(crdext); polygon = xlsfactory.newpolygon(exterior); } catch(exception e) { e.printstacktrace(); } volume.setpolygon(polygon); calculations[0].setmeasurementcalculation(volume); request.setrequestcalculation(calculations); } return request; Coordinate Geometry Service Reference 17
18 Calculating Perimeter, Area, or Volume.NET Code Sample private static Request newmeasurementcalculationrequest() { CogoRequest drr = new CogoRequest(); drr.requestid = "3"; drr.methodname = "perform"; drr.version = "3.5"; RequestCalculation[] rc = new RequestCalculation[1]; rc[0] = new RequestCalculation(); rc[0].id ="C3.0"; //Cogo request include one or multiple calculations MeasurementCalculation mcalc = new MeasurementCalculation(); //specify measurement type: perimeter, area or volume. mcalc.measurementcalculationtype = MeasurementCalculationType.area; //specify the unit of the measurement. For area, the result is //calculated in square units. For volume the result is in cubical units mcalc.distanceunit = DistanceUnitType.MI; //create the polygon used to calculate the area double [,] ext = new double[,]{ {0,0},{- 10,10},{10,50},{50,10},{30,0},{0,0}}; double[][,] ints = new double [1][,]{new double[,] { {0,0},{- 10,10},{10,50}, {0,0} }}; Polygon poly = GeometryUtils.newPolygon(ext, ints, "EPSG:4326"); mcalc.polygon = poly; rc[0].cogocalculation = mcalc; } drr.requestcalculation = rc; return drr; XML Sample <_RequestParameters xsi:type="ns9:cogorequesttype" xmlns:ns9=" <ns9:calculation ID="VOLUME"> <ns9:measurement measurementtype="volume"> <ns10:polygon xmlns:ns10=" <ns10:exterior> <ns10:_ring xsi:type="ns10:linearringtype"> <ns10:pos dimension="3"> </ns10:pos> <ns10:pos dimension="3"> </ns10:pos> <ns10:pos dimension="3"> </ns10:pos> <ns10:pos dimension="3"> </ns10:pos> <ns10:pos dimension="3"> </ns10:pos> </ns10:_ring> </ns10:exterior> </ns10:polygon> </ns9:measurement> </ns9:calculation> </_RequestParameters> 18
19 Chapter 2: Coordinate Geometry Capabilities Buffering a Geometry Buffer calculations allow you to create areas around points, lines, and geometries, which can be used to provide important analysis. For example, a user planning a trip wants to find the best place to fill up with gas. Having created a route of the trip using the Route Service, the Coordinate Geometry Service can be used to create a buffered area by specifying the route geometry and a buffer distance from the route. The Coordinate Geometry Service returns a buffered polygon or multi-polygon that can be used as a search area by the Directory Service to find all the gas stations along the route. Inputs and Behaviors There are four key pieces of information for a measurement calculation request: Input Required Description Calculation ID Yes The calculation identifier when multiple calculations are performed in a single request. Resolution No The buffer's detail level. The higher the resolution the smoother the curves of the buffer. The lower the resolution the more jagged the curves of the buffer. The resolution indicates the number of segments used when creating a 90º curve for the buffer. The resolution must be no less than four (the minimal value to create a meaningful buffer). If no resolution is specified in the request, the default resolution of four is used. For an example, see Resolution Examples on page 20. Distance and Unit Yes The width of the buffer. The Coordinate Geometry Service can buffer the outside and inside of circles, circular arcs, ellipses, and polygons. If the distance is positive, the buffered region will be larger than (outside) the source geometry. If the distance is negative the buffered region will be smaller than (inside) the source geometry. Point and line geometries only support positive buffers. In certain circumstances no buffered region may be returned if a buffer cannot be created based on a given negative distance (specifically, the negative distance is greater than the span or diameter of the geometry). The available units are: kilometer (KM), mile (MI), meter (M), foot (FT), and yard (YD). If no unit is specified in the request, the default unit meter (M) is used. For examples, see Distance Examples on page 21. Coordinate Geometry Service Reference 19
20 Buffering a Geometry Input Required Description Geometry Yes The geometry and spatial reference system to be buffered. Supported geometries include Point, LineString, Polygon, CircleByCenterPoint, CircularArc, and Ellipse. If no spatial reference system is specified in the source geometry, the default WGS84 (srsname = "EPSG:4326") is used. Be aware that some spatial reference systems are either spherical or Cartesian. Spherical calculations measure distance according to the curved surface of the Earth. This means that the distance from the boundary of the source geometry to the boundary of the new buffered object may vary from node to node. Cartesian calculations measure distance on data that has been projected onto a flat, X-Y plane. This produces buffers that are exact in width, as long as the data is not in a Lat/Long projection. Output The response to a buffer request is composed of two main sections: Output Geometry Spatial Reference System Description The buffered region of a point is returned as a polygon. The buffered region of all others may be a polygon or a multi-polygon depending on the complexity of the geometry and the resolution required. The buffered region is always in two dimensions. The geometry of the buffered region is in the same coordinate system as of the source geometry. If there is no srsname specified in the source geometry, the default WGS84 (srsname = "EPSG:4326") is used. Resolution Examples The following illustrations show the effect of changing the input value for resolution. Changing Resolution: The image on the left has a resolution of four, the image on the right has a resolution of six. Notice that the right image has a smoother curve. 20
21 Chapter 2: Coordinate Geometry Capabilities Distance Examples The following illustrations show the effects of different input values for distance. Changing distance: The image on the left is buffered by 25 meters; the image on the right is buffered by 50 meters. Notice that the right image has a larger buffered area. Positive and negative distance: The image on the left is buffered by 25 meters (outside the polygon), the image on the right is buffered by -25 meters (inside the polygon). Java Code Sample public CogoRequest createsbuffer() { //creates a cogo request CogoRequest request = new CogoRequest("Cogo", "4.0", "R1"); //creates a new Point Point point = GeometryUtils.newPoint( , , "EPSG:4326"); //creates a CircleByCenterPoint CircleByCenterPoint circle = GeometryUtils.getXLSGMLFactory().newCircleByCenterPoint(); circle.setcenter(point.getcoord()); Coordinate Geometry Service Reference 21
22 Buffering a Geometry circle.setradius(new Length("M", 100)); //creates a new calculation type ( buffer ) RequestCalculation[] calculations = new RequestCalculation[1]; calculations[0] = new RequestCalculation("BUFFER"); //creates a new buffer Buffer buffer = new Buffer(10); buffer.setcirclebycenterpoint(circle); buffer.setresolution(4); calculations[0].setbuffer(buffer); request.setrequestcalculation(calculations); } //returns a CogoRequest return request; XML Sample <_RequestParameters xsi:type="ns3:cogorequesttype" xmlns:ns3=" <ns3:calculation ID="BUFFER"> <ns3:buffer distance="10.0"> <ns4:circlebycenterpoint interpolation="circulararccenterpointwithradius" numarc="1" xmlns:ns4=" <ns4:pos dimension="2"> </ns4:pos> <ns4:radius uom="m">100.0</ns4:radius> </ns4:circlebycenterpoint> </ns3:buffer> </ns3:calculation> </_RequestParameters> 22
23 Configuration 3 This section describes the configuration settings you can modify for the Coordinate Geometry Service. In this section: Configuration
24 Configuration The Coordinate Geometry Service has a Tolerance preference that administrators can configure using the Enterprise Manager: Parameter Description Default Value Tolerance The default tolerance setting for point-in-region calculations, used to control the accuracy of the calculation. This tolerance is used if no tolerance value is specified in the request
COORDINATE SYSTEM TRANSFORM SERVICE REFERENCE
COORDINATE SYSTEM TRANSFORM SERVICE REFERENCE Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor or its representatives. No part
More informationEnvinsa. Version 4.1 PRESENTATION SERVICE REFERENCE
Envinsa Version 4.1 PRESENTATION SERVICE REFERENCE Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor or its representatives.
More informationMapInfo ProViewer 11.0 USER GUIDE
MapInfo ProViewer 11.0 USER GUIDE Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor or its representatives. No part of this
More informationLocation Intelligence Component
Location Intelligence Component Version 1.0 for Business Objects XI 3.0 USER GUIDE Information in this document is subject to change without notice and does not represent a commitment on the part of the
More informationLocation Intelligence Infrastructure Asset Management. Confirm. Supported Platforms Version v18.00b.am
Location Intelligence Infrastructure Asset Management Confirm Supported Platforms v18.00b.am Information in this document is subject to change without notice and does not represent a commitment on the
More informationEnvinsa. Version 4.4. REST API Guide
Envinsa Version 4.4 REST API Guide Information in this document is subject to change without tice and does t represent a commitment on the part of the vendor or its representatives. No part of this document
More informationLocation Intelligence Infrastructure Asset Management. Confirm. What's New since Confirm v17 Version v17.10a.am
Location Intelligence Infrastructure Asset Management Confirm What's New since Confirm v17 Version v17.10a.am Information in this document is subject to change without notice and does not represent a commitment
More informationLocation Intelligence Infrastructure Asset Management. Confirm. Confirm Mapping Link to MapInfo Professional Version v18.00b.am
Location Intelligence Infrastructure Asset Management Confirm Confirm Mapping Link to MapInfo Professional Version v18.00b.am Information in this document is subject to change without notice and does not
More informationEnvinsa. Version 4.4 USER DICTIONARY GUIDE
Envinsa Version 4.4 USER DICTIONARY GUIDE Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor or its representatives. No part
More informationMapInfo. Line Style Editor User Guide
MapInfo Line Style Editor User Guide Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor or its representatives. No part of this
More informationVertical Mapper v3.5 Release Notes
Vertical Mapper v3.5 Release Notes These release notes describe new features and enhancements to Vertical Mapper in the v3.5 release and list issues that were fixed for this release. Americas: Phone: 518
More informationCCBC Math 081 Geometry Section 2.2
2.2 Geometry Geometry is the study of shapes and their mathematical properties. In this section, we will learn to calculate the perimeter, area, and volume of a few basic geometric shapes. Perimeter We
More informationLocation Intelligence Infrastructure Asset Management. Confirm. Confirm Mapping Interface Version v18.00b.am
Location Intelligence Infrastructure Asset Management Confirm Confirm Mapping Interface Version v18.00b.am Information in this document is subject to change without notice and does not represent a commitment
More informationArcLink. Bidirectional Conversion Utility for MapInfo and ARC/INFO Files. for Windows
ArcLink Bidirectional Conversion Utility for MapInfo and ARC/INFO Files for Windows Information in this document is subject to change without notice and does not represent a commitment on the part of the
More informationNumber/Computation. addend Any number being added. digit Any one of the ten symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9
14 Number/Computation addend Any number being added algorithm A step-by-step method for computing array A picture that shows a number of items arranged in rows and columns to form a rectangle associative
More informationBrunswick School Department: Grade 5
Understandings Questions Mathematics Lines are the fundamental building blocks of polygons. Different tools are used to measure different things. Standard units provide common language for communicating
More informationCARDSTOCK MODELING Math Manipulative Kit. Student Activity Book
CARDSTOCK MODELING Math Manipulative Kit Student Activity Book TABLE OF CONTENTS Activity Sheet for L.E. #1 - Getting Started...3-4 Activity Sheet for L.E. #2 - Squares and Cubes (Hexahedrons)...5-8 Activity
More informationSpatialWare INSTALLATION GUIDE. for Microsoft SQL Server. Version 4.9
SpatialWare for Microsoft SQL Server Version 4.9 INSTALLATION GUIDE Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor or its
More informationLocation Intelligence Infrastructure Asset Management. Confirm. CRM Connector Schema Version v17.10a.am
Location Intelligence Infrastructure Asset Management Confirm CRM Connector Schema Version v17.10a.am Information in this document is subject to change without notice and does not represent a commitment
More informationSpatialWare INSTALLATION GUIDE. for Microsoft SQL Server. Version 4.9.2
SpatialWare for Microsoft SQL Server Version 4.9.2 INSTALLATION GUIDE Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor or its
More informationMapMarker Plus Desktop Installation Guide
MapMarker Plus 11.0 Desktop Installation Guide Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor or its representatives. No
More informationEnvinsa WEB MAP SERVICE REFERENCE
Envinsa WEB MAP SERVICE REFERENCE Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor or its representatives. No part of this
More informationLesson 9. Three-Dimensional Geometry
Lesson 9 Three-Dimensional Geometry 1 Planes A plane is a flat surface (think tabletop) that extends forever in all directions. It is a two-dimensional figure. Three non-collinear points determine a plane.
More informationGeometry Review Chapter 10: Volume PA Anchors: A3; B2; C1. 1. Name the geometric solid suggested by a frozen juice can.
Geometry Review Chapter 10: Volume PA Anchors: A; B2; C1 1. Name the geometric solid suggested by a frozen juice can. 2. Name the geometric solid suggested by a beach ball.. Name the geometric solid suggested
More informationPerimeter and Area. Slide 1 / 183. Slide 2 / 183. Slide 3 / 183. Table of Contents. New Jersey Center for Teaching and Learning
New Jersey Center for Teaching and Learning Slide 1 / 183 Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students
More informationState if each pair of triangles is similar. If so, state how you know they are similar (AA, SAS, SSS) and complete the similarity statement.
Geometry 1-2 est #7 Review Name Date Period State if each pair of triangles is similar. If so, state how you know they are similar (AA, SAS, SSS) and complete the similarity statement. 1) Q R 2) V F H
More informationLocation Intelligence Infrastructure Asset Management. Confirm. Financial Interface Specification Version v18.10b.am
Location Intelligence Infrastructure Asset Management Confirm Financial Interface Specification Version v.b.am Information in this document is subject to change without notice and does not represent a
More informationGeometry Solids Identify Three-Dimensional Figures Notes
26 Geometry Solids Identify Three-Dimensional Figures Notes A three dimensional figure has THREE dimensions length, width, and height (or depth). Intersecting planes can form three dimensional figures
More informationLocation Intelligence Component
version 1.0 for Business Objects XIR2 in support of Service Pack 4 RELEASE NOTES Americas: Phone: 518 285 6000 Fax: 518 285 6070 Sales: 800 327 8627 Government Sales: 800 619 2333 Technical Support: 518
More informationReview: Geometry. Area Composite Figures Surface Area Volume Fractional Edge Length 3-D Figures and Nets Coordinate Graphing
Review: Geometry Area Composite Figures Surface Area Volume Fractional Edge Length 3-D Figures and Nets Coordinate Graphing Perimeter: the distance around a polygon. Area: the number of square units needed
More informationGeometry: Semester 2 Practice Final Unofficial Worked Out Solutions by Earl Whitney
Geometry: Semester 2 Practice Final Unofficial Worked Out Solutions by Earl Whitney 1. Wrapping a string around a trash can measures the circumference of the trash can. Assuming the trash can is circular,
More informationPre-Algebra, Unit 10: Measurement, Area, and Volume Notes
Pre-Algebra, Unit 0: Measurement, Area, and Volume Notes Triangles, Quadrilaterals, and Polygons Objective: (4.6) The student will classify polygons. Take this opportunity to review vocabulary and previous
More informationMapMarker Plus Developer Installation Guide
MapMarker Plus 11.1 Developer Installation Guide Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor or its representatives. No
More informationProperties of a Circle Diagram Source:
Properties of a Circle Diagram Source: http://www.ricksmath.com/circles.html Definitions: Circumference (c): The perimeter of a circle is called its circumference Diameter (d): Any straight line drawn
More informationSkills Practice Skills Practice for Lesson 6.1
Skills Practice Skills Practice for Lesson.1 Name Date As the Crow Flies Properties of Spheres Vocabulary Define each term in your own words. 1. sphere A sphere is the set of all points in space that are
More informationChapters 1.18 and 2.18 Areas, Perimeters and Volumes
Chapters 1.18 and.18 Areas, Perimeters and Volumes In this chapter, we will learn about: From Text Book 1: 1. Perimeter of a flat shape: 1.A Perimeter of a square 1.B Perimeter of a rectangle 1.C Perimeter
More informationGeometry Final Exam Study Guide
Geometry Final Exam Study Guide Short Answer 1. Find the geometric mean between each pair of numbers. 256 and 841 2. Find x. Determine whether ΔQRS is a right triangle for the given vertices. Explain.
More informationVocabulary. Term Page Definition Clarifying Example. cone. cube. cylinder. edge of a threedimensional. figure. face of a polyhedron.
CHAPTER 10 Vocabulary The table contains important vocabulary terms from Chapter 10. As you work through the chapter, fill in the page number, definition, and a clarifying example. cone Term Page Definition
More informationPractice Test - Chapter 11. Find the area and perimeter of each figure. Round to the nearest tenth if necessary.
Find the area and perimeter of each figure. Round to the nearest tenth if necessary. 1. Use the Pythagorean Theorem to find the height h, of the parallelogram. 2. Use the Pythagorean Theorem to find the
More informationS P. Geometry Final Exam Review. Name R S P Q P S. Chapter 7 1. If you reflect the point (2, -6) in the x-axis, the coordinates of the image would be:
Geometry Final Exam Review Chapter 7 1. If you reflect the point (2, -6) in the x-axis, the coordinates of the image would be: Name 6. Use the graph below to complete the sentence. 2. If you reflect the
More information4. If you are prompted to enable hardware acceleration to improve performance, click
Exercise 1a: Creating new points ArcGIS 10 Complexity: Beginner Data Requirement: ArcGIS Tutorial Data Setup About creating new points In this exercise, you will use an aerial photograph to create a new
More informationK-12 Geometry Standards
Geometry K.G Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). 1. Describe objects in the environment using names of shapes, and describe
More informationEnvinsa. Version 4.1 WEB MAP SERVICE REFERENCE
Envinsa Version 4.1 WEB MAP SERVICE REFERENCE Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor or its representatives. No part
More informationUnderstanding and Using Geometry, Projections, and Spatial Reference Systems in ArcGIS. Rob Juergens, Melita Kennedy, Annette Locke
Understanding and Using Geometry, Projections, and Spatial Reference Systems in ArcGIS Rob Juergens, Melita Kennedy, Annette Locke Introduction We want to give you a basic understanding of geometry and
More informationExcel Math Glossary Fourth Grade
Excel Math Glossary Fourth Grade Mathematical Term [Lesson #] TE Page # A acute angle Acute Angle an angle that measures less than 90º [Lesson 78] 187 Addend any number being added [Lesson 1] 003 AM (ante
More informationCalifornia Standard Study Island Topic Common Core Standard
State: CA Subject: Math Grade Level: 4 California Standard Study Island Topic Standard NUMBER SENSE 1.0: Students understand the place value of whole numbers and decimals to two decimal places and how
More informationUnit E Geometry Unit Review Packet
Unit E Geometry Unit Review Packet Name Directions: Do ALL (A) Questions. Check Your Answers to (A) Questions. If ALL (A) Questions are correct, skip (B) Questions and move onto next I can statement. If
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Review for Test 2 MATH 116 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the right triangle. If two sides are given, give angles in degrees and
More informationOML Sample Problems 2017 Meet 7 EVENT 2: Geometry Surface Areas & Volumes of Solids
OML Sample Problems 2017 Meet 7 EVENT 2: Geometry Surface Areas & Volumes of Solids Include: Ratios and proportions Forms of Answers Note: Find exact answers (i.e. simplest pi and/or radical form) Sample
More informationGeometry 2 Final Review
Name: Period: Date: Geometry 2 Final Review 1 Find x in ABC. 5 Find x in ABC. 2 Find x in STU. 6 Find cos A in ABC. 3 Find y in XYZ. 7 Find x to the nearest tenth. 4 Find x in HJK. 8 Find the angle of
More informationMake geometric constructions. (Formalize and explain processes)
Standard 5: Geometry Pre-Algebra Plus Algebra Geometry Algebra II Fourth Course Benchmark 1 - Benchmark 1 - Benchmark 1 - Part 3 Draw construct, and describe geometrical figures and describe the relationships
More information9 Find the area of the figure. Round to the. 11 Find the area of the figure. Round to the
Name: Period: Date: Show all work for full credit. Provide exact answers and decimal (rounded to nearest tenth, unless instructed differently). Ch 11 Retake Test Review 1 Find the area of a regular octagon
More informationAdditional Practice. Name Date Class
Additional Practice Investigation 1 1. The four nets below will fold into rectangular boxes. Net iii folds into an open box. The other nets fold into closed boxes. Answer the following questions for each
More informationAreas of Rectangles and Parallelograms
CONDENSED LESSON 8.1 Areas of Rectangles and Parallelograms In this lesson, you Review the formula for the area of a rectangle Use the area formula for rectangles to find areas of other shapes Discover
More informationMATH 1112 Trigonometry Final Exam Review
MATH 1112 Trigonometry Final Exam Review 1. Convert 105 to exact radian measure. 2. Convert 2 to radian measure to the nearest hundredth of a radian. 3. Find the length of the arc that subtends an central
More informationLocation Intelligence Infrastructure Asset Management. Confirm. Confirm Task Processor - Street Works Transfer Version v17.20a.am
Location Intelligence Infrastructure Asset Management Confirm Confirm Task Processor - Street Works Transfer Version v17.20a.am Information in this document is subject to change without notice and does
More informationGeometry 2: 2D and 3D shapes Review
Geometry 2: 2D and 3D shapes Review G-GPE.7 I can use the distance formula to compute perimeter and area of triangles and rectangles. Name Period Date 3. Find the area and perimeter of the triangle with
More informationMATHEMATICS Geometry Standard: Number, Number Sense and Operations
Standard: Number, Number Sense and Operations Number and Number A. Connect physical, verbal and symbolic representations of 1. Connect physical, verbal and symbolic representations of Systems integers,
More informationThe Next Step. Mathematics Applications for Adults. Book Measurement
The Next Step Mathematics Applications for Adults Book 14019 Measurement OUTLINE Mathematics - Book 14019 Measurement The Metric System use correct metric units to measure length, volume, capacity, mass,
More informationacute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6
acute angle An angle with a measure less than that of a right angle. Houghton Mifflin Co. 2 Grade 5 Unit 6 angle An angle is formed by two rays with a common end point. Houghton Mifflin Co. 3 Grade 5 Unit
More informationII PUC CHAPTER 6 APPLICATION OF DERIVATIES Total marks 10
II PUC CHAPTER 6 APPLICATION OF DERIVATIES Total marks 10 1 mark 2 marks 3 marks 4 marks 5 marks 6 Marks TOTAL MARKS -- 1 1 -- 1 10 TWO MARK QUESTIONS 1. Find the approximate change in the volume V of
More informationA Comprehensive Introduction to SolidWorks 2011
A Comprehensive Introduction to SolidWorks 2011 Godfrey Onwubolu, Ph.D. SDC PUBLICATIONS www.sdcpublications.com Schroff Development Corporation Chapter 2 Geometric Construction Tools Objectives: When
More informationNew Swannington Primary School 2014 Year 6
Number Number and Place Value Number Addition and subtraction, Multiplication and division Number fractions inc decimals & % Ratio & Proportion Algebra read, write, order and compare numbers up to 0 000
More informationName: Target 12.2: Find and apply surface of Spheres and Composites 12.2a: Surface Area of Spheres 12.2b: Surface Area of Composites Solids
Unit 12: Surface Area and Volume of Solids Target 12.0: Euler s Formula and Introduction to Solids Target 12.1: Find and apply surface area of solids 12.1a: Surface Area of Prisms and Cylinders 12.1b:
More informationGeometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.
Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know
More informationPre-Algebra Notes Unit 10: Geometric Figures & Their Properties; Volume
Pre-Algebra Notes Unit 0: Geometric Figures & Their Properties; Volume Triangles, Quadrilaterals, and Polygons Syllabus Objectives: (4.6) The student will validate conclusions about geometric figures and
More informationGeometry: Angle Relationships
Geometry: Angle Relationships I. Define the following angles (in degrees) and draw an example of each. 1. Acute 3. Right 2. Obtuse 4. Straight Complementary angles: Supplementary angles: a + b = c + d
More informationSect Volume. 3 ft. 2 ft. 5 ft
199 Sect 8.5 - Volume Objective a & b: Understanding Volume of Various Solids The Volume is the amount of space a three dimensional object occupies. Volume is measured in cubic units such as in or cm.
More informationVolume of Spheres. A geometric plane passing through the center of a sphere divides it into. into the Northern Hemisphere and the Southern Hemisphere.
9.6 Surface Area and Volume of Spheres Goal Find surface areas and volumes of spheres. Key Words sphere hemisphere A globe is an example of a sphere. A sphere is the set of all points in space that are
More informationPart I Multiple Choice
Oregon Focus on Surface Area and Volume Practice Test ~ Surface Area Name Period Date Long/Short Term Learning Targets MA.MS.07.ALT.05: I can solve problems and explain formulas involving surface area
More informationY6 MATHEMATICS TERMLY PATHWAY NUMBER MEASURE GEOMETRY STATISTICS
Autumn Number & Place value read, write, order and compare numbers up to 10 000 000 and determine the value of each digit round any whole number to a required degree of accuracy use negative numbers in
More informationRevolve Vertices. Axis of revolution. Angle of revolution. Edge sense. Vertex to be revolved. Figure 2-47: Revolve Vertices operation
Revolve Vertices The Revolve Vertices operation (edge create revolve command) creates circular arc edges or helixes by revolving existing real and/or non-real vertices about a specified axis. The command
More informationName ANSWER KEY Date Period Score. Place your answers in the answer column. Show work clearly and neatly. FOCUS ON WHAT IS NECESSARY FOR SUCCESS!
OAKS Test Review PRACTICE Name ANSWER KEY Date Period Score Place your answers in the answer column. Show work clearly and neatly. FOCUS ON WHAT IS NECESSARY FOR SUCCESS! Solve:. n = 5. 4(4x ) = (x + 4)
More informationSection 7.2 Volume: The Disk Method
Section 7. Volume: The Disk Method White Board Challenge Find the volume of the following cylinder: No Calculator 6 ft 1 ft V 3 1 108 339.9 ft 3 White Board Challenge Calculate the volume V of the solid
More informationThe Geometry of Solids
CONDENSED LESSON 10.1 The Geometry of Solids In this lesson you will Learn about polyhedrons, including prisms and pyramids Learn about solids with curved surfaces, including cylinders, cones, and spheres
More informationSPHERES WHAT YOU LL LEARN. Ø Finding the surface area of a sphere Ø Finding the volume of a sphere
SPHERES A sphere is the locus of points in space that are a given distance from a point. The point is called the center of the sphere. A radius of a sphere is a segment from the center to a point on the
More informationNumber- Algebra. Problem solving Statistics Investigations
Place Value Addition, Subtraction, Multiplication and Division Fractions Position and Direction Decimals Percentages Algebra Converting units Perimeter, Area and Volume Ratio Properties of Shapes Problem
More information2. A circle is inscribed in a square of diagonal length 12 inches. What is the area of the circle?
March 24, 2011 1. When a square is cut into two congruent rectangles, each has a perimeter of P feet. When the square is cut into three congruent rectangles, each has a perimeter of P 6 feet. Determine
More information1. AREAS. Geometry 199. A. Rectangle = base altitude = bh. B. Parallelogram = base altitude = bh. C. Rhombus = 1 product of the diagonals = 1 dd
Geometry 199 1. AREAS A. Rectangle = base altitude = bh Area = 40 B. Parallelogram = base altitude = bh Area = 40 Notice that the altitude is different from the side. It is always shorter than the second
More informationLines Plane A flat surface that has no thickness and extends forever.
Lines Plane A flat surface that has no thickness and extends forever. Point an exact location Line a straight path that has no thickness and extends forever in opposite directions Ray Part of a line that
More information14.1 and 14.2.notebook. March 07, Module 14 lessons 1: Distance on a coordinate Plane Lesson 2: Polygons in the Coordinate Plane
Module 14 lessons 1: Distance on a coordinate Plane Lesson 2: Reflection: a transformation of a figure that flips across a line Objectives: solve problems by graphing using coordinates and absolute value
More informationMoore Catholic High School Math Department
Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during
More informationGeometry Geometry Grade Grade Grade
Grade Grade Grade 6.G.1 Find the area of right triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the
More information2-dimensional figure. 3-dimensional figure. about. acute angle. addend. addition. angle. area. array. bar graph. capacity
2-dimensional figure a plane figure that has length and width 3-dimensional figure a solid figure that has length, width, and height about used to indicate approximation/ estimation; indicates rounding
More informationGeometry SIA #3. Name: Class: Date: Short Answer. 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1).
Name: Class: Date: ID: A Geometry SIA #3 Short Answer 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1). 2. If the perimeter of a square is 72 inches, what
More informationSomeone else might choose to describe the closet by determining how many square tiles it would take to cover the floor. 6 ft.
Areas Rectangles One way to describe the size of a room is by naming its dimensions. So a room that measures 12 ft. by 10 ft. could be described by saying its a 12 by 10 foot room. In fact, that is how
More informationDC2 File Format. 1. Header line 2. Entity line 3. Point line 4. String line
DC2 File Format The DesignCAD DC2 drawing file is an ASCII file, with the data present in character format. Each "record" in the file is actually a line in a text file. There are four types of records,
More informationUNIT 3 CIRCLES AND VOLUME Lesson 5: Explaining and Applying Area and Volume Formulas Instruction
Prerequisite Skills This lesson requires the use of the following skills: understanding and using formulas for the volume of prisms, cylinders, pyramids, and cones understanding and applying the formula
More informationMath 10 C Measurement Unit
Math 10 C Measurement Unit Name: Class: Date: ID: A Chapter Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which imperial unit is most appropriate
More informationLearning Task: Exploring Reflections and Rotations
Learning Task: Exploring Reflections and Rotations Name Date Mathematical Goals Develop and demonstrate an understanding of reflections and rotations of figures in general and on a coordinate plane. Essential
More informationNAME DATE PERIOD. Angle and Line Relationships. Classify the pairs of angles shown. Then find the value of x in each figure
11-1 Skills Practice Angle and Line Relationships In the figure at the right, c d and p is a transversal. If m 5 = 110, find the measure of each angle. 1. 6 2. 8 3. 2 4. 4 c 1 2 5 6 d 3 4 7 8 p In the
More informationModule 6B: Creating Poly-Conic Sheet Metal Pieces for a Spherical Space
1 Module 6B: Creating Poly-Conic Sheet Metal Pieces for a Spherical Space In Module 6B, we will learn how to create a folded 3D model of an approximate 2D flat pattern for a 120-inch or 10-foot diameter
More informationIdentifying and Classifying Angles and Shapes
Grade 5 Mathematics, Quarter 2, Unit 2.1 Identifying and Classifying Angles and Shapes Overview Number of instructional days: 10 (1 day = 45 minutes) Content to be learned Describe, compare, and classify
More informationENVINSA PATCH NOTES
ENVINSA 4.0.2 PATCH NOTES Information in this document is subject to change without notice and does not represent a commitment on the part of the vendor or its representatives. No part of this document
More informationQ4 Geometry Benchmark Review (FINAL EXAM REVIEW)
Class: Date: Q4 Geometry Benchmark Review (FINAL EXAM REVIEW) Multiple Choice Identify the choice that best completes the statement or answers the question. Graph the image of each figure under a translation
More informationSEVENTH EDITION and EXPANDED SEVENTH EDITION
SEVENTH EDITION and EXPANDED SEVENTH EDITION Slide 9-1 Chapter 9 Geometry 9.1 Points, Lines, Planes, and Angles Basic Terms A line segment is part of a line between two points, including the endpoints.
More informationReady To Go On? Skills Intervention 10-1 Solid Geometry
10A Find these vocabulary words in Lesson 10-1 and the Multilingual Glossary. Vocabulary Ready To Go On? Skills Intervention 10-1 Solid Geometry face edge vertex prism cylinder pyramid cone cube net cross
More informationLocation Intelligence Infrastructure Asset Management. Confirm. Performance Monitoring Version v18.00b.am
Location Intelligence Infrastructure Asset Management Confirm Performance Monitoring Version v18.00b.am Information in this document is subject to change without notice and does not represent a commitment
More informationChapter Test Form A. 187 Holt Geometry. Name Date Class
10 Form A Circle the best answer. 1. Which three-dimensional figure does NOT have a vertex? A cylinder B rectangular prism C rectangular pyramid D triangular prism 5. Use Euler s formula to determine which
More informationGrade Domain -> High School Geometry Examples
Grade Domain -> High School Geometry Examples PK K Identify and describe shapes (squares, circles, triangles, rectangles). 1. Describe objects in the environment using names of shapes, and describe the
More information