OHS GEOMETRY SUMMER ASSIGNMENT
|
|
- Veronica Hutchinson
- 5 years ago
- Views:
Transcription
1 OHS GEOMETRY SUMMER ASSIGNMENT Name: Date Started: Complete each of the following exercises in this formative assessment. To receive full credit for this assignment, you must show your work in this packet, and complete ALL of the problems in the packet. You may use a calculator to assist you, but this cannot serve as a replacement for showing work. This assignment is due, on the first day of school (at the start of your class). This packet consists of Common Core State Standards review material, from previous grades. A NOTES section for each part is included, in this packet, to help you complete the EXERCISES Section. Failure to complete this packet may put you at a disadvantage. For assistance in completing individual problems, you should refer to your notes from previous classes, use on-line resources, or work with your peers and family members. If you find you are having trouble with an item, skip it, and come back to it later, but persevere in trying to solve the problem. There will be limited time, with your teacher, in class, devoted to answering any questions regarding this summer packet. You will be assessed on this material in class, so make sure you understand how to do all of these items in this packet. You will need a TI-84 plus or TI-84 plus silver graphing calculator for Geometry Class. If you have questions regarding this assignment, please contact Mr. Porco, Mathematics Department Chair at Oxford High School, at porcos@oxfordpublicschools.org or Ms. Behr, Mathematics Teacher, at behrk@oxfordpublicschools.org.
2 PART 1 NETS AND DRAWINGS FOR VISUALIZONG GEOMETRY NOTES A net is a two-dimensional flat diagram that represents a three-dimensional figure. It shows all of the shapes that make up the faces of a solid. Stepping through the process of building a three-dimensional figure from a net will help you improve your ability to visualize the process. Here are the steps you would take to build a square pyramid. Step 1 Start with the net Step 2 Fold up on the dotted lines. Step 3 Tape the adjacent triangle sides together. Here are other examples of nets that also fold up into a square pyramid. EXERCISES 1. What is a possible net for the figure shown at the right? A. B. C. For #2-4, match each three-dimensional figure with its net
3 PART 2 POINTS, LINES AND PLANES NOTES Term Diagram How to Label: Point Line Named with one italicized capital letter: D Named by one italicized lowercase letter: m or any two points on the line with a line symbol drawn over them: AB or BA Line Segment Named by two points (called endpoints) with a segment drawn over them: AB or BA Ray Named by two points on the ray. The endpoint should always be named first with a ray symbol drawn over them: AB Plane Named by one italicized capital letter: W or by any three non-collinear (not on the same line) points: ANF, AFB, BAF, BFA, FAB, or FBA When you name a ray, an arrowhead is not drawn over the beginning point. When you name a plane with three points, choose no more than two collinear points (points on the same line). An arrow indicates the direction of a path that extends without end. A plane is represented by a parallelogram. However, the plane actually has no edges. It is flat and extends forever in all directions. Coplanar points: points that lie in the same plane. Points D, E, and F are coplanar points. Collinear points: points that lie on the same line. Points P, Q and R are collinear.
4 EXERCISES Identify each figure below as a point, segment, ray, line, or plane, and name each. 5. Identify 6. Identify 7. Identify Name Name Name 8. Identify 9. Identify 10. Identify Name Name Name Identify the planes below using 3 vertices. 11. front 12.back 13. left side 14. right side Use the figure at the right for Exercises Name the intersection of each pair of planes or lines. 15. planes ABP and BCD 16. and
5 PART 3 MEASURING SEGMENTS NOTES The Segment Addition Postulate allows you to use known segment lengths to find unknown segment lengths. If three points, A, B, and C, are on the same line, and point B is between points A and C, then the distance AC is the sum of the distances AB and BC. Problem: If QS = 7 and QR = 3, what is RS? AC = AB + BC QS = QR + RS Segment Addition Postulate 7 = 3 + RS Substitute. 4 = RS The midpoint of a line segment divides the segment into two segments that are equal in length. If you know the distance between the midpoint and an endpoint of a segment, you can find the length of the segment. If you know the length of a segment, you can find the distance between its endpoint and midpoint. X is the midpoint of WY. XW = XY, so XW and XY are congruent (equal in measure). PROBLEM C is the midpoint of BE. If BC = t + 1, and CE = 15 t, what is BE? BC = CE t + 1 = 15 t 2t + 1 = 15 2t = 14 t = 7 Definition of midpoint Substitute BC = t + 1 = 7+1 = 8 BC = 8 BE = 2(BC) = 2(8) = 16 BE = 16
6 EXERCISES Use the figure at the right. 17. If PN = 29 cm and MN = 13 cm, then PM = 18. If PN = 34 cm and MN = 19 cm, then PM = 19. If PM = 3x + 2 and MN = 2x + 4, and PN = 31, find x. 20. If MN = 82 and PN = 105, then PM = Use the figure at the right. W is the midpoint of UV. 21. If UW = x + 23, and WV = 2x + 8, what is x? 22. If UW = x + 23, and WV = 2x + 8, what is WU? 23. If UW = x + 23, and WV = 2x + 8, what is UV?
7 PART 4 MEASURING ANGLES NOTES The vertex of an angle is the common endpoint of the rays that form the angle. An angle may be named by its vertex. It may also be named by a number or by a point on each ray and the vertex (in the middle). Correct Names: Z, XZY, YZX, or 1. Incorrect Names: ZYX, XYZ, YXZ, or ZXY. Angles are measured in degrees, and the measure of an angle is used to classify it. The Angle Addition Postulate allows you to use a known angle measure to find an unknown angle measure. If point B is in the interior of AXC, the sum of m AXB and m BXC is equal to m AXC. m AXB + m BXC = m AXC PROBLEM If m LYN = 125, what are m LYM and m MYN? Step 1 Solve for p. m LYN = m LYM + m MYN Angle Addition Postulate 125 = (4p + 7) + (2p 2) Substitute. 125 = 6p + 5 Simplify 120 = 6p Subtract 5 from each side. 20 = p Divide each side by 6. Step 2 Use the value of p to find the measures of the angles. m LYM = 4p + 7=4(20) + 7=87 m MYN = 2p 2= 2(20) 2= 38
8 EXERCISES Use the figure at the right. 24. What are three other names for S?,, 25. What type of angle is S? 26. Name the vertex of each angle. a. LGH b. MBX Classify the following angles as acute, right, obtuse, or straight 27. m LGH = m SLI = m L = 179 Use the figure at the right. Find the measure of each angle. 30. ADB= 31. FDE = 32. ADC = 33. BDE= 34. BDF = 35. The combined measure of the angles is 90 degrees. <1 = 3x + 7 and <2 = 2x + 3, find x.
9 PART 5 EXPLORING ANGLE PAIRS NOTES Adjacent Angles and Vertical Angles Adjacent means next to. Angles are adjacent if they lie next to each other. In other words, the angles have the same vertex and they share a side without overlapping. Adjacent Angles Overlapping Angles Vertical means related to the vertex. So, angles are vertical if they share a vertex, but not just any vertex. They share a vertex formed by the intersection of two straight lines. Vertical angles are always congruent. Vertical Angles Non-Vertical Angles Supplementary Angles and Complementary Angles Two angles that form a line are supplementary angles. Another term for these angles is a linear pair. However, any two angles with measures that sum to 180 are also considered supplementary angles. In both figures below, m 1 = 120 and m 2 = 60, so 1 and 2 are supplementary. Two angles that form a right angle are complementary angles. However, any two angles with measures that sum to 90 are also considered complementary angles. In both figures below, m 1 = 60 and m 2 = 30, so 1 and 2 are complementary.
10 EXERCISES 36. Use the diagram at the right. a. Name an angle that is adjacent to ABE. b. Name an angle that overlaps ABE. 37. Use the diagram at the right. a. Name the vertical angle to DOE. b. Name the vertical angle to AOE. 38. Use the diagram at the right. a. Label ABD as 1. b. Label an angle that is supplementary to ABD as 2. c. Label as 3 an angle that is adjacent and complementary to ABD. d. Label as 4 a 2 nd angle that is complementary to ABD. e. Name an angle that is supplementary to ABE. f. Name an angle that is complementary to EBF.
11 PART 6 PERIMETER, CIRCUMFERENCE, AND AREA NOTES The perimeter of a rectangle is the sum of the lengths of its sides. So, the perimeter is the distance around its outside. The formula for the perimeter of a rectangle is P = 2(b + h). The area of a rectangle is the number of square units contained within the rectangle. The formula for the area of a rectangle is A = bh. The area of a triangle is the number of square units contained within the triangle. The formula for the area of a triangle is A = ½ bh. A square is a rectangle that has four sides of the same length. Because the perimeter is s + s + s + s, the formula for the perimeter of a square is P = 4s. The formula for the area of a square is A = s 2. The circumference of a circle is the distance around the circle. The formula for the circumference of a circle is C = d or C = 2 r. The area of a circle is the number of square units contained within the circle. The formula for the area of a circle is A = r 2. EXERCISES 39. Fill in the missing information for each square in the table below. Side Perimeter, P = 4s Area, A = s 2 3 cm 4 3 cm = 12 cm. (3 cm) 2 = 9 cm 2 4 cm 5 cm 10 cm 40. Fill in the missing information for each rectangle in the table below. Dimensions Perimeter, P = 2(b + h) Area, A = bh 1 ft 9 ft 2(1 ft + 9 ft) = 20 ft 1 ft 9 ft = 9 ft 2 2 ft 8 ft 3 ft 7 ft 4 ft 6 ft 41. Find the area of a triangle with a base of 8 and a height of 5.
12 42. Fill in the missing information for each circle in the table below. Radius Diameter, D = 2r Circumference, C = 2πr Area, A = πr 2 2 in. 2 2 = 4 in. 2π 2 in. = 4π in. π (2 in. ) 2 = 4π in. 2 3 in. 5 in. 8 in. 10 in. 43. Find the area of the composite figure below.
OHS GEOMETRY SUMMER ASSIGNMENT
OHS GEOMETRY SUMMER ASSIGNMENT Name: Date Started: Complete each of the following exercises in this formative assessment. To receive full credit for this assignment, you must show your work in this packet,
More informationLESSON 0: Solving Equations
HACKETTSTOWN HIGH SCHOOL HONORS GEOMETRY SUMMER ASSIGNMENT READ CAREFULLY: This assignment is a review of the basic algebra & geometry concepts that were covered in middle school. You should have read
More informationGeometry 1-1. Non-collinear Points not on the same line. Need at least 3 points to be non-collinear since two points are always collinear
Name Geometry 1-1 Undefined terms terms which cannot be defined only described. Point, line, plane Point a location in space Line a series of points that extends indefinitely in opposite directions. It
More informationGeometry - Chapter 1 - Corrective #1
Class: Date: Geometry - Chapter 1 - Corrective #1 Short Answer 1. Sketch a figure that shows two coplanar lines that do not intersect, but one of the lines is the intersection of two planes. 2. Name two
More informationReteach. Understanding Points, Lines, and Planes. P point P
Name Date Class 1-1 Understanding Points, Lines, and Planes A point has no size. It is named using a capital letter. All the figures below contain points. line Figure Characteristics Diagram Words and
More informationGeometry Reasons for Proofs Chapter 1
Geometry Reasons for Proofs Chapter 1 Lesson 1.1 Defined Terms: Undefined Terms: Point: Line: Plane: Space: Postulate 1: Postulate : terms that are explained using undefined and/or other defined terms
More informationPLANE GEOMETRY SKILL BUILDER ELEVEN
PLANE GEOMETRY SKILL BUILDER ELEVEN Lines, Segments, and Rays The following examples should help you distinguish between lines, segments, and rays. The three undefined terms in geometry are point, line,
More informationDear Parents/Students,
Dear Parents/Students, In the summer time, many necessary mathematical skills are lost due to the absence of daily exposure. The loss of skills may result in a lack of success and unnecessary frustration
More informationSection 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
More information1-1 Understanding Points, Lines, and Planes (pp. 6 11) Vocabulary EXERCISES
Vocabulary acute angle.................. 1 adjacent angles.............. 8 angle....................... 0 angle bisector............... 3 area........................ 36 base........................ 36
More informationJumpstarters for Geometry. Table of Contents. Table of Contents
Table of Contents Table of Contents Introduction to the Teacher...1 Lines, Rays, and Line Segments...2 Classifying Angles...3 Measuring and Drawing Angles...4 Classifying Pairs of Lines...5 Special Pairs
More informationThere are two ways to name a line. What are the two ways?
Geometry: 1-1 Points, Lines and Planes What are the Undefined Terms? The Undefined Terms are: What is a Point? How is a point named? Example: What is a Line? A line is named two ways. What are the two
More informationNORTH HAVEN HIGH SCHOOL. Applied Geometry (Level 1) Summer Assignment 2017
NORTH HAVEN HIGH SCHOOL 221 Elm Street North Haven, CT 06473 June 2017 Applied Geometry (Level 1) Summer Assignment 2017 Dear Parents, Guardians, and Students, The Geometry curriculum builds on geometry
More informationGeometry 10 and 11 Notes
Geometry 10 and 11 Notes Area and Volume Name Per Date 10.1 Area is the amount of space inside of a two dimensional object. When working with irregular shapes, we can find its area by breaking it up into
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 informationMath 6, Unit 8 Notes: Geometric Relationships
Math 6, Unit 8 Notes: Geometric Relationships Points, Lines and Planes; Line Segments and Rays As we begin any new topic, we have to familiarize ourselves with the language and notation to be successful.
More informationTest 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)
More informationMrs. Daniel s Geometry Vocab List
Mrs. Daniel s Geometry Vocab List Geometry Definition: a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Reflectional Symmetry
More informationDefinitions. You can represent a point by a dot and name it by a capital letter.
Definitions Name Block Term Definition Notes Sketch Notation Point A location in space that is represented by a dot and has no dimension You can represent a point by a dot and name it by a capital letter.
More informationNORTH HAVEN HIGH SCHOOL. Geometry (Level 2 and Level 3) Summer Assignment 2016
221 Elm Street NORTH HAVEN HIGH SCHOOL North Haven, CT 06473 June 2016 Geometry (Level 2 and Level 3) Summer Assignment 2016 Dear Parent(s) or Guardian(s): Your child is currently scheduled to take Geometry
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 informationTerm Definition Figure
Geometry Unit 1 Packet - Language of Geometry Name: #: Video Notes LT 1.1 - Distinguish and apply basic terms of geometry (coplanar, collinear, bisectors, congruent, parallel, perpendicular, etc.) Term
More informationSummer Dear Geometry Students and Parents:
Summer 2018 Dear Geometry Students and Parents: Welcome to Geometry! For the 2018-2019 school year, we would like to focus your attention to the prerequisite skills and concepts for Geometry. In order
More informationChapter 1-2 Points, Lines, and Planes
Chapter 1-2 Points, Lines, and Planes Undefined Terms: A point has no size but is often represented by a dot and usually named by a capital letter.. A A line extends in two directions without ending. Lines
More informationTerm Definition Figure
Notes LT 1.1 - Distinguish and apply basic terms of geometry (coplanar, collinear, bisectors, congruency, parallel, perpendicular, etc.) Term Definition Figure collinear on the same line (note: you do
More informationMrs. Daniel s Geometry Vocab List
Mrs. Daniel s Geometry Vocab List Geometry Definition: a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Refectional Symmetry Definition:
More informationpine cone Ratio = 13:8 or 8:5
Chapter 10: Introducing Geometry 10.1 Basic Ideas of Geometry Geometry is everywhere o Road signs o Carpentry o Architecture o Interior design o Advertising o Art o Science Understanding and appreciating
More informationB. Section 1.1. Chapter 1 Review Booklet A. Vocabulary Match the vocabulary term with its definition. 3. A pair of opposite rays on line p.
A. Vocabulary Match the vocabulary term with its definition. Point Polygon Angle Sides Postulate Collinear Opposite Rays Vertical angles Coplanar Linear Pair Complementary Vertex Line Adjacent Plane Distance
More informationMath 7 Glossary Terms
Math 7 Glossary Terms Absolute Value Absolute value is the distance, or number of units, a number is from zero. Distance is always a positive value; therefore, absolute value is always a positive value.
More informationM2 GEOMETRY REVIEW FOR MIDTERM EXAM
M2 GEOMETRY REVIEW FOR MIDTERM EXAM #1-11: True or false? If false, replace the underlined word or phrase to make a true sentence. 1. Two lines are perpendicular if they intersect to form a right angle.
More informationVocabulary Point- Line- Plane- Ray- Line segment- Congruent-
* Geometry Overview Vocabulary Point- an exact location. It is usually represented as a dot, but it has no size at all. Line- a straight path that extends without end in opposite directions. Plane- a flat
More information1-1. Points, Lines, and Planes. Lesson 1-1. What You ll Learn. Active Vocabulary
1-1 Points, Lines, and Planes What You ll Learn Scan the text in Lesson 1-1. Write two facts you learned about points, lines, and planes as you scanned the text. 1. Active Vocabulary 2. New Vocabulary
More informationa triangle with all acute angles acute triangle angles that share a common side and vertex adjacent angles alternate exterior angles
acute triangle a triangle with all acute angles adjacent angles angles that share a common side and vertex alternate exterior angles two non-adjacent exterior angles on opposite sides of the transversal;
More informationPCTI Geometry. Summer Packet
PCTI Geometry Summer Packet 2017 1 This packet has been designed to help you review various mathematical topics that will be necessary for your success in Geometry. INSTRUCTIONS: Do all problems without
More informationGEOMETRY is the study of points in space
CHAPTER 5 Logic and Geometry SECTION 5-1 Elements of Geometry GEOMETRY is the study of points in space POINT indicates a specific location and is represented by a dot and a letter R S T LINE is a set of
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 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 informationDepartment: Course: Chapter 1
Department: Course: 2016-2017 Term, Phrase, or Expression Simple Definition Chapter 1 Comprehension Support Point Line plane collinear coplanar A location in space. It does not have a size or shape The
More informationUnit 10 Study Guide: Plane Figures
Unit 10 Study Guide: Plane Figures *Be sure to watch all videos within each lesson* You can find geometric shapes in art. Whether determining the amount of leading or the amount of glass needed for a piece
More informationSection 1.1 Notes. Points - have no size or dimension and named using capital letters A
Section 1.1 Notes Building Blocks of Geometry Undefined Terms: Points - have no size or dimension and named using capital letters A Lines - have no thickness (1D) and extend forever. Named using 2 points
More informationMath 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK
Math 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK [acute angle] [acute triangle] [adjacent interior angle] [alternate exterior angles] [alternate interior angles] [altitude] [angle] [angle_addition_postulate]
More informationObjectives: (What You ll Learn) Identify and model points, lines, planes Identify collinear and coplanar points, intersecting lines and planes
Geometry Chapter 1 Outline: Points, Lines, Planes, & Angles A. 1-1 Points, Lines, and Planes (What You ll Learn) Identify and model points, lines, planes Identify collinear and coplanar points, intersecting
More informationGeometry Vocabulary. Name Class
Geometry Vocabulary Name Class Definition/Description Symbol/Sketch 1 point An exact location in space. In two dimensions, an ordered pair specifies a point in a coordinate plane: (x,y) 2 line 3a line
More informationNAME DATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following.
NAME ATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following. 1. m = Solve for m : m 7 = -13 + m FIRST SIX-WEEKS REVIEW 2. x
More informationAngles. An angle is: the union of two rays having a common vertex.
Angles An angle is: the union of two rays having a common vertex. Angles can be measured in both degrees and radians. A circle of 360 in radian measure is equal to 2π radians. If you draw a circle with
More information1.1 Points, Lines, and Planes
1.1 Points, Lines, and Planes Identify and model points, lines and planes. Identify collinear, and coplanar points and intersecting lines and planes in the space. Vocabulary Point, line, plane, collinear,
More informationGeometry/Trigonometry Summer Assignment
Student Name: 2017 Geometry/Trigonometry Summer Assignment Complete the following assignment in the attached packet. This is due the first day of school. Bring in a copy of your answers including ALL WORK
More informationGeometry Semester 1 Final Exam Study Guide FCS, Mr. Garcia
Name Date Period This is your semester 1 exam review study guide. It is designed for you to do a portion each day until the day of the exam. You may use the following formula to calculate your semester
More informationGeometry Chapter 1 TEST * Required
Geometry Chapter 1 TEST * Required Vocabulary Match each word with the correct definition or description. 1. Plane * A flat surface extending indefinitely The two rays that from an angle Exactly one of
More informationVideos, Constructions, Definitions, Postulates, Theorems, and Properties
Videos, Constructions, Definitions, Postulates, Theorems, and Properties Videos Proof Overview: http://tinyurl.com/riehlproof Modules 9 and 10: http://tinyurl.com/riehlproof2 Module 9 Review: http://tinyurl.com/module9livelesson-recording
More informationGeometry Vocabulary Math Fundamentals Reference Sheet Page 1
Math Fundamentals Reference Sheet Page 1 Acute Angle An angle whose measure is between 0 and 90 Acute Triangle A that has all acute Adjacent Alternate Interior Angle Two coplanar with a common vertex and
More informationWelcome to Pre-AP Geometry. Summer Homework
Welcome to Pre-AP Geometry Summer Homework Congratulations, you have qualified to be enrolled in Pre-AP Geometry. This class is a rigorous, 10 th grade level mathematics class. This class requires summer
More informationParallel Lines: Two lines in the same plane are parallel if they do not intersect or are the same.
Section 2.3: Lines and Angles Plane: infinitely large flat surface Line: extends infinitely in two directions Collinear Points: points that lie on the same line. Parallel Lines: Two lines in the same plane
More information1.1 Understanding the Undefined Terms
1.1 Understanding the Undefined Terms Undefined Terms There are three undefined terms in geometry, these words do not have a formal definition. The undefined terms are:,, and. Naming Points, Lines, and
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 informationGeometry Lesson 1-1: Identify Points, Lines, and Planes Name Hr Pg. 5 (1, 3-22, 25, 26)
Geometry Lesson 1-1: Identify Points, Lines, and Planes Name Hr Pg. 5 (1, 3-22, 25, 26) Learning Target: At the end of today s lesson we will be able to successfully name and sketch geometric figures.
More informationName Period Date GRADE 7: MATHEMATICS COMMON CORE SUPPLEMENT ANGLES, DRAWINGS, AND ALGEBRAIC CONNECTIONS
Name Period Date 7-CORE3.1 Geometric Figures Measure and draw angles using a protractor. Review facts about interior angles of triangles and quadrilaterals. Find missing angle measures in geometric diagrams.
More informationSummer Review for incoming Geometry students (all levels)
Name: 2017-2018 Mathematics Teacher: Summer Review for incoming Geometry students (all levels) Please complete this review packet for the FIRST DAY OF CLASS. The problems included in this packet will provide
More informationCORRELATION 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
More informationGeometry Level 1 Midterm Review Packet. I. Geometric Reasoning (Units 1 & 2) Circle the best answer.
2015 Midterm Outline (120pts) I. 28 Multiple Choice (28pts) II. 12 True & False (12pts) III. 13 Matching (13pts) IV. 14 Short Answer (49pts) V. 3 Proofs (18pts) VI. 10 Common Assessment (10pts) Geometry
More informationAnswer Key. 1.1 The Three Dimensions. Chapter 1 Basics of Geometry. CK-12 Geometry Honors Concepts 1. Answers
1.1 The Three Dimensions 1. Possible answer: You need only one number to describe the location of a point on a line. You need two numbers to describe the location of a point on a plane. 2. vary. Possible
More informationUnit 1 Unit 1 A M. M.Sigley, Baker MS. Unit 1 Unit 1. 3 M.Sigley, Baker MS
A M S 1 2 G O E A B 3 4 LINE POINT Undefined No thickness Extends infinitely in two directions Designated with two points Named with two capital letters or Undefined No size Named with a capital letter
More informationGeometry Review. IM3 Ms. Peralta
Geometry Review IM3 Ms. Peralta Ray: is a part of a line that consists of an endpoint, and all points on one side of the endpoint. P A PA Opposite Rays: are two rays of the same line with a common endpoint
More informationSUMMER MATH PREP WORK FOR STUDENTS ENTERING GEOMETRY
SUMMER MATH PREP WORK FOR STUDENTS ENTERING GEOMETRY NAME: SUMMER PREP WORK HELP 8/2, 8/9, AND 8/16 2:45PM 3:45PM BOLGER MEDIA CENTER Mr. Rosenberg will be there on 8/2 Mrs. Keelen will be there on 8/9
More informationChapter 1. Essentials of Geometry
Chapter 1 Essentials of Geometry 1.1 Identify Points, Lines, and Planes Objective: Name and sketch geometric figures so you can use geometry terms in the real world. Essential Question: How do you name
More informationNAME DATE PERIOD. Study Guide and Intervention
NM T IO 1-5 tudy Guide and Intervention ngle elationships airs of ngles djacent angles are two angles that lie in the same plane and have a common vertex and a common side, but no common interior points.
More informationAnswer Key: Three-Dimensional Cross Sections
Geometry A Unit Answer Key: Three-Dimensional Cross Sections Name Date Objectives In this lesson, you will: visualize three-dimensional objects from different perspectives be able to create a projection
More informationName Date Period. 1.1 Understanding the Undefined Terms
Name Date Period Lesson Objective: 1.1 Understanding the Undefined Terms Naming Points, Lines, and Planes Point Line Plane Collinear: Coplanar: 1. Give 2 other names for PQ and plane R. 2. Name 3 points
More informationGeometry Chapter 1 Basics of Geometry
Geometry Chapter 1 asics of Geometry ssign Section Pages Problems 1 1.1 Patterns and Inductive Reasoning 6-9 13-23o, 25, 34-37, 39, 47, 48 2 ctivity!!! 3 1.2 Points, Lines, and Planes 13-16 9-47odd, 55-59odd
More informationMath 6, Unit 8 Notes: Geometric Relationships
Math 6, Unit 8 Notes: Geometric Relationships Points, Lines and Planes; Line Segments and Rays As we begin any new topic, we have to familiarize ourselves with the language and notation to be successful.
More informationDear Parents and Students,
Dear Parents and Students, Mathematics is a discipline that constantly builds on previous knowledge. Students entering Honors Geometry will be expected to recall and apply the material that they learned
More informationGeometry Level 1 Midterm Review Packet
Geometry L1 2017 Midterm Topic List Unit 1: Basics of Geometry 1. Point, Line, Plane 2. Segment Addition Postulate 3. Midpoint Formula, Distance Formula 4. Bisectors 5. Angle Pairs Unit 2: Logical Reasoning
More informationSHAPE, SPACE and MEASUREMENT
SHAPE, SPACE and MEASUREMENT Types of Angles Acute angles are angles of less than ninety degrees. For example: The angles below are acute angles. Obtuse angles are angles greater than 90 o and less than
More informationGEOMETRY 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
More informationHigh School Geometry. Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics
High School Geometry Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics Standard 5 : Graphical Representations = ALEKS course topic that addresses
More informationContents. 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
More informationTOPIC 2 Building Blocks of Geometry. Good Luck To
Good Luck To Period Date PART I DIRECTIONS: Use the Terms (page 2), Definitions (page 3), and Diagrams (page 4) to complete the table Term (capital letters) 1. Chord 2. Definition (roman numerals) Pictures
More information15. K is the midpoint of segment JL, JL = 4x - 2, and JK = 7. Find x, the length of KL, and JL. 8. two lines that do not intersect
Name: Period Date Pre-AP Geometry Fall Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1. three non-collinear points 2. one line in three different ways
More informationUnit 3. Chapter 1. Foundations of Geometry. Name. Hour
Unit 3 Chapter 1 Foundations of Geometry Name Hour 1 Geometry Unit 3 Foundations of Geometry Chapter 1 Monday October 1 Tuesday October 2 1.1 Understanding Points, Lines, & Planes 1.2 Linear Measure DHQ
More informationIdentify parallel lines, skew lines and perpendicular lines.
Learning Objectives Identify parallel lines, skew lines and perpendicular lines. Parallel Lines and Planes Parallel lines are coplanar (they lie in the same plane) and never intersect. Below is an example
More informationFAIR LAWN PUBLIC SCHOOLS RONALD J. MEZZADRI District Supervisor Mathematics, Business & Career Education Fair Lawn High School 14-00 Berdan Avenue Fair Lawn, New Jersey 07410-8067 (01) 794-5450 x11 Fax
More informationGrade VIII. Mathematics Geometry Notes. #GrowWithGreen
Grade VIII Mathematics Geometry Notes #GrowWithGreen Polygons can be classified according to their number of sides (or vertices). The sum of all the interior angles of an n -sided polygon is given by,
More information*Chapter 1.1 Points Lines Planes. Use the figure to name each of the following:
Name: Period Date Pre- AP Geometry Fall 2015 Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1) three non-collinear points 2) one line in three different
More informationEuclid s Muse Directions
Euclid s Muse Directions First: Draw and label three columns on your chart paper as shown below. Name Picture Definition Tape your cards to the chart paper (3 per page) in the appropriate columns. Name
More informationAnswers. (1) Parallelogram. Remember: A four-sided flat shape where the opposite sides are parallel is called a parallelogram. Here, AB DC and BC AD.
Answers (1) Parallelogram Remember: A four-sided flat shape where the opposite sides are parallel is called a parallelogram. Here, AB DC and BC AD. (2) straight angle The angle whose measure is 180 will
More informationGeometry Formulas. Area Formulas. bh A(Regular Polygon) ap. 1 A(Trapezoid) b1 b2. Volume Formulas. 4 3 r Other Formulas.
Lateral Area of cylinder C h Lateral Area of prism Lateral Area of cone Lateral Area of pyramid A(Circle) Geometry Formulas Area Formulas rh Surface Area of prisms and cylinders LA p h Surface Area of
More informationGEOMETRY. Background Knowledge/Prior Skills. Knows ab = a b. b =
GEOMETRY Numbers and Operations Standard: 1 Understands and applies concepts of numbers and operations Power 1: Understands numbers, ways of representing numbers, relationships among numbers, and number
More informationGanado Unified School District 7 th Grade Mathematics
Ganado Unified School District 7 th Grade Mathematics PACING Guide SY 2014-2015 Quarter 3 Week 1 Graphs Text Reference Concept : Use random sampling to draw inferences about population. 7.SP.A.1. Understand
More informationGeometry Midterm Review Vocabulary:
Name Date Period Geometry Midterm Review 2016-2017 Vocabulary: 1. Points that lie on the same line. 1. 2. Having the same size, same shape 2. 3. These are non-adjacent angles formed by intersecting lines.
More informationGrade IX. Mathematics Geometry Notes. #GrowWithGreen
Grade IX Mathematics Geometry Notes #GrowWithGreen The distance of a point from the y - axis is called its x -coordinate, or abscissa, and the distance of the point from the x -axis is called its y-coordinate,
More information2014 Geometry Summer Reading Assignment
Name 2014 Geometry Summer Reading Assignment Date Prior to the first day of Geometry class, you must complete all questions contained in this packet. Geometry is a high school requirement and information
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 informationClassifying Angles and Triangles
6 1 NAMING AND CLASSIFYING ANGLES AND TRIANGLES 6 1 Naming and Classifying Angles and Triangles Points, Lines, and Rays In the world of math, it is sometimes necessary to refer to a specific point in space.
More informationReteaching Exploring Angles of Polygons
Name Date lass Eploring Angles of Polygons INV X 3 You have learned to identify interior and eterior angles in polygons. Now you will determine angle measures in regular polygons. Interior Angles Sum of
More informationUnit 1: Tools of Geometry / Reasoning and Proof
Date Period Unit 1: Tools of Geometry / Reasoning and Proof Day Topic 1 Points, Lines and Planes 2 Segments, Rays, Parallel Lines and Planes 3 Measuring Segments 4 Measuring Angles Basic Constructions
More informationAn 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
More information25. How would you make the octahedral die shown below?
304450_ch_08_enqxd 12/6/06 1:39 PM Page 577 Chapter Summary 577 draw others you will not necessarily need all of them. Describe your method, other than random trial and error. How confident are you that
More informationGeometry. Oklahoma Math Day INSTRUCTIONS:
Oklahoma Math Day November 16, 016 Geometry INSTRUCTIONS: 1. Do not begin the test until told to do so.. Calculators are not permitted. 3. Be sure to enter your name and high school code on the answer
More informationGeometry Practice. 1. Angles located next to one another sharing a common side are called angles.
Geometry Practice Name 1. Angles located next to one another sharing a common side are called angles. 2. Planes that meet to form right angles are called planes. 3. Lines that cross are called lines. 4.
More informationClassroom Assessments Based on Standards Geometry Chapter 1 Assessment Model GML201
Classroom Assessments Based on Standards Geometry Chapter 1 Assessment Model GML201 Student Name: Teacher Name: ID Number: Date 1. You work for the highway department for your county board. You are in
More information