# 0117geo. Geometry CCSS Regents Exam y = 1 2 x + 8? 2 AB AC 3) 2AB + 2AC 4) AB + AC

Save this PDF as:

Size: px
Start display at page:

Download "0117geo. Geometry CCSS Regents Exam y = 1 2 x + 8? 2 AB AC 3) 2AB + 2AC 4) AB + AC"

## Transcription

1 0117geo 1 Which equation represents the line that passes through the point ( 2,2) and is parallel to y = 1 2 x + 8? 1) y = 1 2 x 2) y = 2x ) y = 1 2 x + 4) y = 2x + Given ABC DEF, which statement is not always true? 1) BC DF 2) m A = m D ) area of ABC = area of DEF 4) perimeter of ABC = perimeter of DEF 4 In the diagram below, DE, DF, and EF are midsegments of ABC. 2 In the diagram below, ADE is the image of ABC after a reflection over the line AC followed by a dilation of scale factor AE centered at point AC A. The perimeter of quadrilateral ADEF is equivalent to 1) AB + BC + AC 2) 1 2 AB AC ) 2AB + 2AC 4) AB + AC Which statement must be true? 1) m BAC m AED 2) m ABC m ADE ) m DAE 1 2 m BAC 4) m ACB 1 2 m DAB 1

2 5 In the diagram below, if ABE CDF and AEFC is drawn, then it could be proven that quadrilateral ABCD is a 8 A farmer has 64 feet of fence to enclose a rectangular vegetable garden. Which dimensions would result in the biggest area for this garden? 1) the length and the width are equal 2) the length is 2 more than the width ) the length is 4 more than the width 4) the length is 6 more than the width 9 The diagram shows rectangle ABCD, with diagonal BD. 1) square 2) rhombus ) rectangle 4) parallelogram 6 Under which transformation would A' B' C', the image of ABC, not be congruent to ABC? 1) reflection over the y-axis 2) rotation of 90 clockwise about the origin ) translation of units right and 2 units down 4) dilation with a scale factor of 2 centered at the origin 7 The diagram below shows two similar triangles. What is the perimeter of rectangle ABCD, to the nearest tenth? 1) ) 2.8 ) ) Identify which sequence of transformations could map pentagon ABCDE onto pentagon A B C D E, as shown below. If tanθ =, what is the value of x, to the nearest 7 tenth? 1) 1.2 2) 5.6 ) 7.6 4) 8.8 1) dilation followed by a rotation 2) translation followed by a rotation ) line reflection followed by a translation 4) line reflection followed by a line reflection 2

3 11 A solid metal prism has a rectangular base with sides of 4 inches and 6 inches, and a height of 4 inches. A hole in the shape of a cylinder, with a radius of 1 inch, is drilled through the entire length of the rectangular prism. 1 On the graph below, point A(,4) and BC with coordinates B(4,) and C(2,1) are graphed. What is the approximate volume of the remaining solid, in cubic inches? 1) 19 2) 77 ) 9 4) Given the right triangle in the diagram below, what is the value of x, to the nearest foot? What are the coordinates of B and C after BC undergoes a dilation centered at point A with a scale factor of 2? 1) B' (5,2) and C ' (1, 2) 2) B' (6,1) and C ' (0, 1) ) B' (5,0) and C ' (1, 2) 4) B' (5,2) and C ' (,0) 14 In the diagram of right triangle ADE below, BC DE. 1) 11 2) 17 ) 18 4) 22 Which ratio is always equivalent to the sine of A? 1) AD DE 2) AE AD ) BC AB 4) AB AC

4 15 In circle O, secants ADB and AEC are drawn from external point A such that points D, B, E, and C are on circle O. If AD = 8, AE = 6, and EC is 12 more than BD, the length of BD is 1) 6 2) 22 ) 6 4) A parallelogram is always a rectangle if 1) the diagonals are congruent 2) the diagonals bisect each other ) the diagonals intersect at right angles 4) the opposite angles are congruent 20 Point Q is on MN such that MQ:QN = 2:. If M has coordinates (,5) and N has coordinates (8, 5), the coordinates of Q are 1) (5,1) 2) (5,0) ) (6, 1) 4) (6,0) 21 In the diagram below of circle O, GO = 8 and m GOJ = Which rotation about its center will carry a regular decagon onto itself? 1) 54 2) 162 ) 198 4) The equation of a circle is x 2 + y 2 6y + 1 = 0. What are the coordinates of the center and the length of the radius of this circle? 1) center (0,) and radius = 2 2 2) center (0, ) and radius = 2 2 ) center (0,6) and radius = 5 4) center (0, 6) and radius = 5 19 Parallelogram ABCD has coordinates A(0,7) and C(2,1). Which statement would prove that ABCD is a rhombus? 1) The midpoint of AC is (1,4). 2) The length of BD is 40. ) The slope of BD is 1. What is the area, in terms of π, of the shaded region? 1) 4π 2) 20π ) 2π 4) 160π 22 A circle whose center is the origin passes through the point ( 5,12). Which point also lies on this circle? 1) (10,) 2) ( 12,1) ) (11,2 12) 4) ( 8,5 21) 4) The slope of AB is 1. 4

5 2 A plane intersects a hexagonal prism. The plane is perpendicular to the base of the prism. Which two-dimensional figure is the cross section of the plane intersecting the prism? 1) triangle 2) trapezoid ) hexagon 4) rectangle 26 The graph below shows ABC and its image, A"B"C". 24 A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height? 1) 1.2 2).5 ) 4.7 4) Using a compass and straightedge, construct the line of reflection over which triangle RST reflects onto triangle R S T. [Leave all construction marks.] Describe a sequence of rigid motions which would map ABC onto A"B"C". 27 When instructed to find the length of HJ in right triangle HJG, Alex wrote the equation sin 28 = HJ while Marlene wrote cos 62 =HJ Are both students equations correct? Explain why. 5

6 28 In the diagram below, tangent DA and secant DBC are drawn to circle O from external point D, such that AC BC. 0 In the diagram below of isosceles triangle ABC, AB CB and angle bisectors AD, BF, and CE are drawn and intersect at X. If mbc = 152, determine and state m D. 29 In the diagram below, GI is parallel to NT, and IN intersects GT at A. If m BAC = 50, find m AXC. 1 In square GEOM, the coordinates of G are (2, 2) and the coordinates of O are ( 4,2). Determine and state the coordinates of vertices E and M. [The use of the set of axes below is optional.] Prove: GIA TNA 6

7 2 Triangle QRS is graphed on the set of axes below. 4 A candle maker uses a mold to make candles like the one shown below. On the same set of axes, graph and label Q' R' S', the image of QRS after a dilation with a scale factor of centered at the origin. Use slopes to 2 explain why Q' R' QR. Using a compass and straightedge, construct a regular hexagon inscribed in circle O below. Label it ABCDEF. [Leave all construction marks.] The height of the candle is 1 cm and the circumference of the candle at its widest measure is cm. Use modeling to approximate how much wax, to the nearest cubic centimeter, is needed to make this candle. Justify your answer. 5 In quadrilateral ABCD, AB CD, AB CD, and BF and DE are perpendicular to diagonal AC at points F and E. Prove: AE CF If chords FB and FC are drawn, which type of triangle, according to its angles, would FBC be? Explain your answer. 6 New streetlights will be installed along a section of the highway. The posts for the streetlights will be 7.5 m tall and made of aluminum. The city can choose to buy the posts shaped like cylinders or the posts shaped like rectangular prisms. The cylindrical posts have a hollow core, with aluminum 2.5 cm thick, and an outer diameter of 5.4 cm. The rectangular-prism posts have a hollow core, with aluminum 2.5 cm thick, and a square base that measures 40 cm on each side. The density of aluminum is 2.7 g/cm, and the cost of aluminum is \$0.8 per kilogram. If all posts must be the same shape, which post design will cost the town less? How much money will be saved per streetlight post with the less expensive design? 7

8 ID: A 0117geo Answer Section 1 ANS: y = mx + b 2 = 1 2 ( 2) + b = b PTS: 2 REF: geo NAT: G.GPE.B.5 TOP: Parallel and Perpendicular Lines KEY: write equation of parallel line 2 ANS: 2 PTS: 2 REF: geo NAT: G.SRT.A.2 TOP: Compositions of Transformations KEY: basic ANS: 1 PTS: 2 REF: 01170geo NAT: G.SRT.B.5 TOP: Triangle Congruency 4 ANS: 4 PTS: 2 REF: geo NAT: G.CO.C.10 TOP: Midsegments 5 ANS: 4 PTS: 2 REF: geo NAT: G.CO.C.11 TOP: Special Quadrilaterals 6 ANS: 4 PTS: 2 REF: geo NAT: G.CO.A.2 TOP: Identifying Transformations KEY: basic 7 ANS: 2 tanθ = 2.4 x 7 = 2.4 x x = 5.6 PTS: 2 REF: geo NAT: G.SRT.C.8 TOP: Using Trigonometry to Find a Side 8 ANS: = = 256 2w + 2(w + 2) = = 255 2w + 2(w + 4) = = 252 2w + 2(w + 6) = 64 w = 15 w = 14 w = = 247 PTS: 2 REF: geo NAT: G.MG.A. TOP: Area of Polygons 9 ANS: PTS: 2 REF: geo NAT: G.SRT.C.8 TOP: Triangles 10 ANS: PTS: 2 REF: geo NAT: G.CO.A.5 TOP: Compositions of Transformations KEY: identify 1

9 ID: A 11 ANS: π(1) 2 (6) 77 PTS: 2 REF: geo NAT: G.GMD.A. TOP: Volume KEY: compositions 12 ANS: cos 40 = 14 x x 18 PTS: 2 REF: geo NAT: G.SRT.C.8 TOP: Using Trigonometry to Find a Side 1 ANS: 1 B: (4, 4) (1, 1) (2, 2) (2 +, 2 + 4) C: (2,1 4) ( 1, ) ( 2, 6) ( 2 +, 6 + 4) PTS: 2 REF: 01171geo NAT: G.SRT.A.1 TOP: Line Dilations 14 ANS: PTS: 2 REF: geo NAT: G.SRT.C.6 TOP: Trigonometric Ratios 15 ANS: 2 8(x + 8) = 6(x + 18) 8x + 64 = 6x x = 44 x = 22 PTS: 2 REF: geo NAT: G.C.A.2 TOP: Chords, Secants and Tangents KEY: secants drawn from common point, length 16 ANS: 1 PTS: 2 REF: geo NAT: G.CO.C.11 TOP: Special Quadrilaterals 17 ANS: 4 60 = 6 252º is a multiple of 6º 10 PTS: 2 REF: geo NAT: G.CO.A. TOP: Mapping a Polygon onto Itself 18 ANS: 1 x 2 + y 2 6y + 9 = x 2 + (y ) 2 = 8 PTS: 2 REF: geo NAT: G.GPE.A.1 TOP: Equations of Circles KEY: completing the square 19 ANS: = 6 = The diagonals of a rhombus are perpendicular. 2 PTS: 2 REF: geo NAT: G.GPE.B.4 TOP: Quadrilaterals in the Coordinate Plane 2

10 ID: A 20 ANS: (8 ) = (5) = + 2 = ( 5 5) = ( 10) = 5 4 = 1 PTS: 2 REF: geo NAT: G.GPE.B.6 TOP: Directed Line Segments 21 ANS: π = 160π PTS: 2 REF: geo NAT: G.C.B.5 TOP: Sectors 22 ANS: ( 5) = (2 12) 2 = = 169 PTS: 2 REF: geo NAT: G.GPE.B.4 TOP: Circles in the Coordinate Plane 2 ANS: 4 PTS: 2 REF: 01172geo NAT: G.GMD.B.4 TOP: Cross-Sections of Three-Dimensional Objects 24 ANS: 1 V = 1 π PTS: 2 REF: geo NAT: G.GMD.A. TOP: Volume KEY: cones 25 ANS: PTS: 2 REF: geo NAT: G.CO.D.12 TOP: Constructions KEY: line bisector 26 ANS: T 0, 2 r y-axis PTS: 2 REF: geo NAT: G.CO.A.5 TOP: Compositions of Transformations KEY: identify 27 ANS: Yes, because 28º and 62º angles are complementary. The sine of an angle equals the cosine of its complement. PTS: 2 REF: geo NAT: G.SRT.C.7 TOP: Cofunctions

11 ID: A 28 ANS: = 48 2 PTS: 2 REF: geo NAT: G.C.A.2 TOP: Chords, Secants and Tangents KEY: secant and tangent drawn from common point, angle 29 ANS: GI is parallel to NT, and IN intersects at A (given); I N, G T (paralleling lines cut by a transversal form congruent alternate interior angles); GIA TNA (AA). PTS: 2 REF: geo NAT: G.SRT.A. TOP: Similarity Proofs 0 ANS: 180 2(25) = 10 PTS: 2 REF: 01170geo NAT: G.SRT.B.5 TOP: Isosceles Triangle Theorem 1 ANS: PTS: 2 REF: 01171geo NAT: G.GPE.B.4 TOP: Quadrilaterals in the Coordinate Plane KEY: grids 2 ANS: are equal, Q' R' QR. A dilation preserves slope, so the slopes of QR and Q' R' are equal. Because the slopes PTS: 4 REF: 01172geo NAT: G.SRT.A.2 TOP: Dilations KEY: grids 4

12 ID: A ANS: Right triangle because CBF is inscribed in a semi-circle. PTS: 4 REF: 0117geo NAT: G.CO.D.1 TOP: Constructions 4 ANS: C = 2πr = 2πr 5 r V = 1 π PTS: 4 REF: 01174geo NAT: G.GMD.A. TOP: Volume KEY: cones 5 ANS: Quadrilateral ABCD, AB CD, AB CD, and BF and DE are perpendicular to diagonal AC at points F and E (given). AED and CFB are right angles (perpendicular lines form right angles). AED CFB (All right angles are congruent). ABCD is a parallelogram (A quadrilateral with one pair of sides congruent and parallel is a parallelogram). AD BC (Opposite sides of a parallelogram are parallel). DAE BCF (Parallel lines cut by a transversal form congruent alternate interior angles). DA BC (Opposite sides of a parallelogram are congruent). ADE CBF (AAS). AE CF (CPCTC). PTS: 6 REF: 01175geo NAT: G.SRT.B.5 TOP: Quadrilateral Proofs 6 ANS: C: V = π(26.7) 2 (750) π(24.2) 2 (750) = 95,47.5π 2.7 g 1 kg 95,47.5π cm \$0.8 cm 1000 g kg = \$07.62 P: V = 40 2 (750) 5 2 (750) = 281,250 \$ = \$ g 1 kg 281,250 cm cm 1000 g \$0.8 kg = \$ PTS: 6 REF: 01176geo NAT: G.MG.A.2 TOP: Density 5

### 0815geo. Geometry CCSS Regents Exam In the diagram below, a square is graphed in the coordinate plane.

0815geo 1 A parallelogram must be a rectangle when its 1) diagonals are perpendicular ) diagonals are congruent ) opposite sides are parallel 4) opposite sides are congruent If A' B' C' is the image of

### fall08ge Geometry Regents Exam Test Sampler fall08 4 The diagram below shows the construction of the perpendicular bisector of AB.

fall08ge 1 Isosceles trapezoid ABCD has diagonals AC and BD. If AC = 5x + 13 and BD = 11x 5, what is the value of x? 1) 8 4 The diagram below shows the construction of the perpendicular bisector of AB.

### 1) AB CD 2) AB = CD 3) AE = EB 4) CE = DE

1 In trapezoid RSTV with bases RS and VT, diagonals RT and SV intersect at Q. If trapezoid RSTV is not isosceles, which triangle is equal in area to RSV? 1) RQV 2) RST 3) RVT 4) SVT 2 In the diagram below,

### NAEP Released Items Aligned to the Iowa Core: Geometry

NAEP Released Items Aligned to the Iowa Core: Geometry Congruence G-CO Experiment with transformations in the plane 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and

### 1. 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

### Geometry Christmas Break

Name: Date: Place all answers for Part. A on a Scantron. 1. In the diagram below, congruent figures 1, 2, and 3 are drawn. 3. Which figure can have the same cross section as a sphere? Which sequence of

### Geometry GEOMETRY. Congruence

Geometry Geometry builds on Algebra I concepts and increases students knowledge of shapes and their properties through geometry-based applications, many of which are observable in aspects of everyday life.

### Postulates, Theorems, and Corollaries. Chapter 1

Chapter 1 Post. 1-1-1 Through any two points there is exactly one line. Post. 1-1-2 Through any three noncollinear points there is exactly one plane containing them. Post. 1-1-3 If two points lie in a

### GEOMETRY CURRICULUM MAP

2017-2018 MATHEMATICS GEOMETRY CURRICULUM MAP Department of Curriculum and Instruction RCCSD Congruence Understand congruence in terms of rigid motions Prove geometric theorems Common Core Major Emphasis

### 3 Identify shapes as two-dimensional (lying in a plane, flat ) or three-dimensional ( solid ).

Geometry Kindergarten Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres). 1 Describe objects in the environment using names of shapes,

### MATHia Unit MATHia Workspace Overview TEKS

1 Tools of Geometry Lines, Rays, Segments, and Angles Distances on the Coordinate Plane Parallel and Perpendicular Lines Angle Properties Naming Lines, Rays, Segments, and Angles Working with Measures

### Unit Activity Correlations to Common Core State Standards. Geometry. Table of Contents. Geometry 1 Statistics and Probability 8

Unit Activity Correlations to Common Core State Standards Geometry Table of Contents Geometry 1 Statistics and Probability 8 Geometry Experiment with transformations in the plane 1. Know precise definitions

### Assignment List. Chapter 1 Essentials of Geometry. Chapter 2 Reasoning and Proof. Chapter 3 Parallel and Perpendicular Lines

Geometry Assignment List Chapter 1 Essentials of Geometry 1.1 Identify Points, Lines, and Planes 5 #1, 4-38 even, 44-58 even 27 1.2 Use Segments and Congruence 12 #4-36 even, 37-45 all 26 1.3 Use Midpoint

### Geometry FSA Mathematics Practice Test Answer Key

Geometry FSA Mathematics Practice Test Answer Key The purpose of these practice test materials is to orient teachers and students to the types of questions on paper-based FSA tests. By using these materials,

### Mathematics High School Geometry

Mathematics High School Geometry An understanding of the attributes and relationships of geometric objects can be applied in diverse contexts interpreting a schematic drawing, estimating the amount of

### Geometry Semester 1 REVIEW Must show all work on the Review and Final Exam for full credit.

Geometry Semester 1 REVIEW Must show all work on the Review and Final Exam for full credit. NAME UNIT 1: 1.6 Midpoint and Distance in the Coordinate Plane 1. What are the coordinates of the midpoint of

### Geometry FSA Mathematics Practice Test Questions

Geometry FSA Mathematics Practice Test Questions The purpose of these practice test materials is to orient teachers and students to the types of questions on paper-based FSA tests. By using these materials,

### Modeling with Geometry

Modeling with Geometry 6.3 Parallelograms https://mathbitsnotebook.com/geometry/quadrilaterals/qdparallelograms.html Properties of Parallelograms Sides A parallelogram is a quadrilateral with both pairs

### Geometry. Geometry. No Louisiana Connectors written for this standard.

GM: G-CO.A.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a

### Section Congruence Through Constructions

Section 10.1 - Congruence Through Constructions Definitions: Similar ( ) objects have the same shape but not necessarily the same size. Congruent ( =) objects have the same size as well as the same shape.

### Unit 11 Three Dimensional Geometry

Unit 11 Three Dimensional Geometry Day Classwork Day Homework Monday 2/12 Tuesday 2/13 Wednesday 2/14 Areas of Regular Polygons 1 HW 11.1 Volume of Prisms & Cylinders 2 HW 11.4 Volume of Pyramids and Cones

### Agile Mind CCSS Geometry Scope & Sequence

Geometric structure 1: Using inductive reasoning and conjectures 2: Rigid transformations 3: Transformations and coordinate geometry 8 blocks G-CO.01 (Know precise definitions of angle, circle, perpendicular

### Geometry First Semester Practice Final (cont)

49. Determine the width of the river, AE, if A. 6.6 yards. 10 yards C. 12.8 yards D. 15 yards Geometry First Semester Practice Final (cont) 50. In the similar triangles shown below, what is the value of

### GEOMETRY PRACTICE TEST END OF COURSE version A (MIXED) 2. Which construction represents the center of a circle that is inscribed in a triangle?

GEOMETRY PRACTICE TEST END OF COURSE version A (MIXED) 1. The angles of a triangle are in the ratio 1:3:5. What is the measure, in degrees, of the largest angle? A. 20 B. 30 C. 60 D. 100 3. ABC and XYZ

### Math 2 Plane Geometry part 1 Unit Updated January 13, 2017

Complementary angles (two angles whose sum is 90 ) and supplementary angles (two angles whose sum is 180. A straight line = 180. In the figure below and to the left, angle EFH and angle HFG form a straight

### 3. 4. fraction can not be the length of the third side?

Name: Teacher: Mrs. Ferry 1. 2 In the construction shown below, is drawn. 3. 4 If two sides of a triangle have lengths of and, which fraction can not be the length of the third side? 1. 2. 3. 4. In ABC,

### A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY. Texas Education Agency

A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES GEOMETRY Texas Education Agency The materials are copyrighted (c) and trademarked (tm) as the property of the Texas Education Agency (TEA) and may not be

### High School Geometry

High School Geometry This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize the

### Tennessee Comprehensive Assessment Program TCAP. Geometry Practice Test Subpart 1, Subpart 2, & Subpart 3. Student Name.

Tennessee Comprehensive Assessment Program TCAP Geometry Practice Test Subpart 1, Subpart 2, & Subpart 3 Student Name Teacher Name Published under contract with the Tennessee Department of Education by

### DEFINITIONS. Perpendicular Two lines are called perpendicular if they form a right angle.

DEFINITIONS Degree A degree is the 1 th part of a straight angle. 180 Right Angle A 90 angle is called a right angle. Perpendicular Two lines are called perpendicular if they form a right angle. Congruent

### CORRELATION TO GEORGIA QUALITY CORE CURRICULUM FOR GEOMETRY (GRADES 9-12)

CORRELATION TO GEORGIA (GRADES 9-12) SUBJECT AREA: Mathematics COURSE: 27. 06300 TEXTBOOK TITLE: PUBLISHER: Geometry: Tools for a Changing World 2001 Prentice Hall 1 Solves problems and practical applications

### MATH-G Geometry SOL Test 2015 Exam not valid for Paper Pencil Test Sessions

MATH-G Geometry SOL Test 2015 Exam not valid for Paper Pencil Test Sessions [Exam ID:2LKRLG 1 Which Venn diagram accurately represents the information in the following statement? If a triangle is equilateral,

### Geometry Spring Final Review #1, 2014

Class: Date: Geometry Spring Final Review #1, 2014 Short Answer 1. Find the measure of each interior angle of a regular 45-gon. 2. Find the measure of each exterior angle of a regular decagon. 3. The door

### GEOMETRY SEMESTER 2 REVIEW PACKET 2016

GEOMETRY SEMESTER 2 REVIEW PACKET 2016 Your Geometry Final Exam will take place on Friday, May 27 th, 2016. Below is the list of review problems that will be due in order to prepare you: Assignment # Due

### If two sides and the included angle of one triangle are congruent to two sides and the included angle of 4 Congruence

Postulates Through any two points there is exactly one line. Through any three noncollinear points there is exactly one plane containing them. If two points lie in a plane, then the line containing those

### Similar Polygons. These rectangles are not similar. In the investigation, you will explore what makes polygons similar.

CONDENSED LESSON 11.1 Similar Polygons In this lesson, you Learn what it means for two figures to be similar Use the definition of similarity to find missing measures in similar polygons Explore dilations

### FLORIDA GEOMETRY EOC TOOLKIT

FLORIDA GEOMETRY EOC TOOLKIT CORRELATION Correlated to the Geometry End-of-Course Benchmarks For more information, go to etacuisenaire.com\florida 78228IS ISBN 978-0-7406-9565-0 MA.912.D.6.2 Find the converse,

### PARCC Review. The set of all points in a plane that are equidistant from a given point is called a

Name 1. Select the drop-down menus to correctly complete each sentence. PARCC Review The set of all points in a plane that are equidistant from a given point is called a The given point is called the Radius

### Understand the concept of volume M.TE Build solids with unit cubes and state their volumes.

Strand II: Geometry and Measurement Standard 1: Shape and Shape Relationships - Students develop spatial sense, use shape as an analytic and descriptive tool, identify characteristics and define shapes,

### Geometry Quarter 4 Test Study Guide

Geometry Quarter 4 Test Study Guide 1. Write the if-then form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,

### Pre AP Geometry. Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Geometry

Pre AP Geometry Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Geometry 1 The content of the mathematics standards is intended to support the following five goals for students: becoming

### Second Semester Exam Review Packet

Geometry Name Second Semester Exam Review Packet CHAPTER 7 THE PYTHAGOREAN THEOREM. This theorem is used to find the lengths of the sides of a right triangle. Label the parts of the right triangle. What

### Proving Triangles and Quadrilaterals Satisfy Transformational Definitions

Proving Triangles and Quadrilaterals Satisfy Transformational Definitions 1. Definition of Isosceles Triangle: A triangle with one line of symmetry. a. If a triangle has two equal sides, it is isosceles.

### Infinite Geometry supports the teaching of the Common Core State Standards listed below.

Infinite Geometry Kuta Software LLC Common Core Alignment Software version 2.05 Last revised July 2015 Infinite Geometry supports the teaching of the Common Core State Standards listed below. High School

### Geometry 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

### Unit Lesson Plan: Measuring Length and Area: Area of shapes

Unit Lesson Plan: Measuring Length and Area: Area of shapes Day 1: Area of Square, Rectangles, and Parallelograms Day 2: Area of Triangles Trapezoids, Rhombuses, and Kites Day 3: Quiz over Area of those

### GEOMETRY (COMMON CORE) FACTS YOU MUST KNOW COLD FOR THE REGENTS EXAM

GEOMETRY (COMMON CORE) FACTS YOU MUST KNOW COLD FOR THE REGENTS EXAM NYS Mathematics Regents Preparation Created by: Trevor Clark Geometry [Common Core] Regents Exam Study Guide Facts You Must Know Cold

### Geometry. 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

### STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY. 3 rd Nine Weeks,

STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource for

### JEFFERSON MATH PROJECT REGENTS BY DATE

JEFFERSON MATH PROJECT REGENTS BY DATE The NY Geometry Regents Exams Fall, 2008-August, 2011 Dear Sir I have to acknolege the reciept of your favor of May 14. in which you mention that you have finished

### An Approach to Geometry (stolen in part from Moise and Downs: Geometry)

An Approach to Geometry (stolen in part from Moise and Downs: Geometry) Undefined terms: point, line, plane The rules, axioms, theorems, etc. of elementary algebra are assumed as prior knowledge, and apply

### Geometry SIA #2. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

Class: Date: Geometry SIA #2 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the value of x. a. 4 b. 8 c. 6.6 d. 6 2. Find the length of the midsegment.

### Geometry SIA #2 Practice Exam

Class: Date: Geometry SIA #2 Practice Exam Short Answer 1. Justify the last two steps of the proof. Given: RS UT and RT US Prove: RST UTS Proof: 1. RS UT 1. Given 2. RT US 2. Given 3. ST TS 3.? 4. RST

### Ratios and Proportions

Ratios and Proportions ( 7-1/8-1) 1 Proportions & Similarity 1.1 Ratios A ratio is a comparison of two numbers by way of division. Given two numbers a and b, such that b 0, the ratio of a to b is written

### Name: Second semester Exam Honors geometry Agan and Mohyuddin. May 13, 2014

Name: Second semester Exam Honors geometry Agan and Mohyuddin May 13, 2014 1. A circular pizza has a diameter of 14 inches and is cut into 8 equal slices. To the nearest tenth of a square inch, which answer

### Contents. Lines, angles and polygons: Parallel lines and angles. Triangles. Quadrilaterals. Angles in polygons. Congruence.

Colegio Herma. Maths Bilingual Departament Isabel Martos Martínez. 2015 Contents Lines, angles and polygons: Parallel lines and angles Triangles Quadrilaterals Angles in polygons Congruence Similarity

### Chapter Test Form A. 173 Holt Geometry. Name Date Class. 1. Find the area of the triangle.

Form A 1. Find the area of the triangle. 6. A square has a perimeter of 8 inches. Find the area of the square. cm 7. Find the circumference of C in terms of.. Find the area of the parallelogram. 11 cm

### JMAP REGENTS AT RANDOM

JMAP REGENTS AT RANDOM NY Geometry CCSS Regents Exam Questions from Fall 2014-January 2016 Geometry Common Core State Standards Regents at Random 1 To find the distance across a pond from point B to point

### Agile Mind CCSS Geometry Scope & Sequence

Geometric structure 1: Using inductive reasoning and conjectures 8 blocks G-CO.01 (Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined

### Geometry 2 nd Semester Review Packet PART 1: Chapter 4

Geometry 2 nd Semester Review Packet PART 1: Chapter 4 Name 1. Determine if these are scale figures. If so state the scale factor, treating the larger image as the original figure, and the smaller as the

### Maths Module 4: Geometry. Student s Book

Maths Module 4: Geometry Student s Book Maths Module 4: Geometry and Trigonometry Contents 1. Shapes - Page 2 - Angles - Triangles - Quadrilaterals - Congruence - Similar shapes 2. Constructions - Page

### AZMERIT GEOMETRY REVIEW

ZMERIT GEOMETRY REVIEW NME: HPTER 2 Rewrite the conditional statement in if-then form. Then write the converse, inverse, and contrapositive of the conditional statement. Decide whether each statement is

### b. find the lateral area of the cylinder c. If the radius is doubled, what happens to the volume?

im: How do we find the volume and surface area of pyramids? o Now: If the radius and the height of a cylinder is 4 a. find the volume of the cylinder b. find the lateral area of the cylinder c. If the

### G.8D. A. 495cm2. B. 584cm2. C. 615cm2. D. 975cm2 G.9B, G.2B A. 65 B. 55 C. 45 D. 35

1. Mary, Dan Jane and Lucy walked into a shop at four different times. If Mary went into the shop before Lucy, Jane was the first person after Dan,and Mary was not the first person in the shop, who wa

### JOHN F. KENNEDY HIGH SCHOOL GEOMETRY COURSE SYLLABUS DEPARTMENT OF MATHEMATICS

JOHN F. KENNEDY HIGH SCHOOL GEOMETRY COURSE SYLLABUS DEPARTMENT OF MATHEMATICS 1. COURSE NUMBER, TITLE, UNITS AND PRINCIPAL/DEPARTMENT APPROVED DESCRIPTION MGS252-14 GEOMETRY PL/S 10.0 UNITS According

### Construction of an Angle bisector

Midterm Multiple Choice Practice 1. Based on the construction below, which statement must be true? 1 1) m ABD m CBD 2 2) m ABD m CBD 3) m ABD m ABC 1 4) m CBD m ABD 2 2. Line segment AB is shown in the

### EOC FSA Practice Test

Name: EOC FSA Practice Test Geometry Calculator Portion Compiled by the Broward County Public Schools Office of Instruction and Intervention Mathematics, Science, & Gifted Department FSA Mathematics Reference

### Test Review: Geometry I TEST DATE: ALL CLASSES TUESDAY OCTOBER 6

Test Review: Geometry I TEST DATE: ALL CLASSES TUESDAY OCTOBER 6 Notes to Study: Notes A1, B1, C1, D1, E1, F1, G1 Homework to Study: Assn. 1, 2, 3, 4, 5, 6, 7 Things it would be a good idea to know: 1)

### Math 7, Unit 08: Geometric Figures Notes

Math 7, Unit 08: Geometric Figures Notes Points, Lines and Planes; Line Segments and Rays s we begin any new topic, we have to familiarize ourselves with the language and notation to be successful. My

### Notes Circle Basics Standard:

Notes Circle Basics M RECALL EXAMPLES Give an example of each of the following: 1. Name the circle 2. Radius 3. Chord 4. Diameter 5. Secant 6. Tangent (line) 7. Point of tangency 8. Tangent (segment) DEFINTION

### Math 7, Unit 8: Geometric Figures Notes

Math 7, Unit 8: Geometric Figures Notes Points, Lines and Planes; Line Segments and Rays s we begin any new topic, we have to familiarize ourselves with the language and notation to be successful. My guess

### Geometry Curriculum Guide Dunmore School District Dunmore, PA

Geometry Dunmore School District Dunmore, PA Geometry Prerequisite: Successful completion Algebra I This course is designed for the student who has successfully completed Algebra I. The course content

### The following pages include the answer key for all machine-scored items, followed by the rubrics for the hand-scored items.

Practice Test Answer and Alignment Document Mathematics Geometry Online The following pages include the answer key for all machine-scored items, followed by the rubrics for the hand-scored items. The rubrics

### 2. The pentagon shown is regular. Name Geometry Semester 1 Review Guide Hints: (transformation unit)

Name Geometry Semester 1 Review Guide 1 2014-2015 1. Jen and Beth are graphing triangles on this coordinate grid. Beth graphed her triangle as shown. Jen must now graph the reflection of Beth s triangle

Name: Class: Date: ID: A Polygons & Quadrilaterals Classwork Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The pentagon in the diagram below is formed

### Geometry - Chapter 12 Test SAMPLE

Class: Date: Geometry - Chapter 12 Test SAMPLE Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the value of x. If necessary, round your answer to

### Geometry Unit 10 Note Sheets Date Name of Lesson. 1.6 Two-Dimensional Figures Areas of Circles and Sectors

Date Name of Lesson 1.6 Two-Dimensional Figures 11.3 Areas of Circles and Sectors Quiz 11.1 Areas of Parallelograms and Triangles 11.2 Areas of Trapezoids, Rhombi and Kites 11.4 Areas of Regular Polygons

3. Understanding Quadrilaterals Q 1 Name the regular polygon with 8 sides. Mark (1) Q 2 Find the number of diagonals in the figure given below. Mark (1) Q 3 Find x in the following figure. Mark (1) Q 4

### Section 12.1 Translations and Rotations

Section 12.1 Translations and Rotations Any rigid motion that preserves length or distance is an isometry. We look at two types of isometries in this section: translations and rotations. Translations A

### NAME DATE PERIOD. Find the perimeter and area of each parallelogram. Round to the nearest tenth if necessary. 4 ft. 22 in. 45.

- Skills Practice Area of Parallelograms Find the perimeter and area of each parallelogram Round to the nearest tenth if necessary 0 cm 0 0 cm 4 ft 55 ft 0 4 yd 4 7 yd 45 in 45 in Lesson - 5 4 m 5 km 9

### Geometry. PK Page 140 Pages Pages K Page 143 Page Page 145 Page Page 146 Page Page 147 Page 147

Geometry Standards Entry Points Access Skills PK Page 140 Pages 141 142 Pages 141 142 K Page 143 Page 144 1 Page 145 Page 145 2 Page 146 Page 146 3 Page 147 Page 147 4 Page 148 Page 148 5 Page 149 Page

### Section 1-1 Points, Lines, and Planes

Section 1-1 Points, Lines, and Planes I CAN. Identify and model points, lines, and planes. Identify collinear and coplanar points and intersecting lines and planes in space. Undefined Term- Words, usually

### PROPERTIES OF TRIANGLES AND QUADRILATERALS

Mathematics Revision Guides Properties of Triangles, Quadrilaterals and Polygons Page 1 of 22 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Higher Tier PROPERTIES OF TRIANGLES AND QUADRILATERALS

### EUCLID S GEOMETRY. Raymond Hoobler. January 27, 2008

EUCLID S GEOMETRY Raymond Hoobler January 27, 2008 Euclid rst codi ed the procedures and results of geometry, and he did such a good job that even today it is hard to improve on his presentation. He lived

### Geometry Fundamentals Midterm Exam Review Name: (Chapter 1, 2, 3, 4, 7, 12)

Geometry Fundamentals Midterm Exam Review Name: (Chapter 1, 2, 3, 4, 7, 12) Date: Mod: Use the figure at the right for #1-4 1. What is another name for plane P? A. plane AE B. plane A C. plane BAD D. plane

### Geometry Unit 11 Practice Test

Name: Class: Date: ID: X Geometry Unit 11 Practice Test Short Answer 1. 2. What is the volume of the cylinder in terms of x? 3. What is the height of a square pyramid that has a side length of and a volume

### Determine whether the dilation from A to B is an enlargement or a reduction. Then find the scale factor of the dilation.

Determine whether the dilation from A to B is an enlargement or a reduction. Then find the scale factor of the dilation. 1. Triangle B is larger than triangle A, so the dilation is an enlargement. The

### Last Edit Page 1

G.(2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the oneand two-dimensional coordinate systems to

### 1. Each of these square tiles has an area of 25 square inches. What is the perimeter of this shape?

1. Each of these square tiles has an area of 25 square inches. What is the perimeter of this shape? Use the figure below to answer the following questions. 2. Which statement must be true to determine

### Getting ready for. FSA Geometry EOC. Congruency, Similarity, Right Triangles, and Trigonometry Teacher Packet. Shared by Miami-Dade Schools

Getting ready for. FSA Geometry EOC Congruency, Similarity, Right Triangles, and Trigonometry 2014-2015 Teacher Packet Shared by Miami-Dade Schools Shared by Miami-Dade Schools MAFS.912.G-CO.1.1 Definition

### Lesson Polygons

Lesson 4.1 - Polygons Obj.: classify polygons by their sides. classify quadrilaterals by their attributes. find the sum of the angle measures in a polygon. Decagon - A polygon with ten sides. Dodecagon

### Shape, space and measures

Shape, space and measures Non-Calculator Exam Questions 1. Here is the plan and side elevation of a prism. The side elevation shows the cross section of the prism. On the grid below, draw the front elevation

### GEOMETRY REVIEW PACKET

Obstacles are those frightful things you see when you take your eyes off your goal -Henry Ford As of Spring 2016, geometry is no longer a prerequisite for MTH101 and MTH165 Spend time with the material

### Verona Public School District Curriculum Overview Geometry

Verona Public School District Curriculum Overview Curriculum Committee Members: Jennifer Errico Danielle Pico Supervisor: Glen Stevenson Curriculum Developed: 2015 16 Board Approval Date: Verona Public

### Geometry EOC. SOL Simulation

Geometry EO SOL Simulation Graphing alculator ctive hesterfield ounty Public Schools epartment of Mathematics 2011-2012 1 George used a decorative gate to connect the fencing around his backyard. E F 60

### I can position figures in the coordinate plane for use in coordinate proofs. I can prove geometric concepts by using coordinate proof.

Page 1 of 14 Attendance Problems. 1. Find the midpoint between (0, x) and (y, z).. One leg of a right triangle has length 1, and the hypotenuse has length 13. What is the length of the other leg? 3. Find