Geometry - Chapter 6 Review

Similar documents
Secondary 2 Unit 7 Test Study Guide

6-1. Angles of Polygons. Lesson 6-1. What You ll Learn. Active Vocabulary

Geometry Unit 5 Practice Test

(A) Circle (B) Polygon (C) Line segment (D) None of them (A) (B) (C) (D) (A) Understanding Quadrilaterals <1M>

(A) Circle (B) Polygon (C) Line segment (D) None of them

Downloaded from

Geometry Topic 4 Quadrilaterals and Coordinate Proof

Geometry Unit 6 Note Sheets. Name of Lesson. 6.1 Angles of Polygons 1.5 days. 6.2 Parallelograms 1 day. 6.3 Tests for Parallelograms 1.

Unit 6: Quadrilaterals

Warm-Up Exercises. Find the value of x. 1. ANSWER 65 ANSWER 120

16. DOK 1, I will succeed." In this conditional statement, the underlined portion is

18 Two-Dimensional Shapes

Geometry Chapter 8 8-5: USE PROPERTIES OF TRAPEZOIDS AND KITES

6-5 P R OV I N G R H O M B U S E S, R E C TA N G L E S, A N D S Q UA R E S

3. Given the similarity transformation shown below; identify the composition:

6-3 Conditions for Parallelograms

Indicate whether the statement is true or false.

Geometry. a) Rhombus b) Square c) Trapezium d) Rectangle

6. Which angles in the diagram are congruent to 1? Choose all that apply. 2. m YKZ

7.1 Properties of Parallelograms

Class 5 Geometry O B A C. Answer the questions. For more such worksheets visit

Review Questions for Unit Exam 32 Geometry

Geometry Tutor Worksheet 9 Quadrilaterals

9.5 Properties and Conditions for Kites and Trapezoids

0809ge. Geometry Regents Exam Based on the diagram below, which statement is true?

Date: Period: Quadrilateral Word Problems: Review Sheet

G.SRT.B.5: Quadrilateral Proofs

PRE-JUNIOR CERTIFICATE EXAMINATION, 2010 MATHEMATICS HIGHER LEVEL. PAPER 2 (300 marks) TIME : 2½ HOURS

Worksheet 10 Memorandum: Construction of Geometric Figures. Grade 9 Mathematics

Analytic Geometry EOC Study Booklet Geometry Domain Units 1-3 & 6

G.SRT.B.5: Quadrilateral Proofs

Unit 6 Quadrilaterals

3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm.

Foundations of Math II Unit 3: Similarity and Congruence

2. Here are some triangles. (a) Write down the letter of the triangle that is. right-angled, ... (ii) isosceles. ... (2)

Activity 11 OBJECTIVE. MATERIAL REQUIRED Cardboard, white paper, graph paper with various given points, geometry box, pen/pencil.

Geometry Mrs. Crocker Spring 2014 Final Exam Review

AW Math 10 UNIT 6 SIMILARITY OF FIGURES

Downloaded from

Geometry 2001 part 1

Project Maths Geometry Notes

6-6 Trapezoids and Kites. CCSS SENSE-MAKING If WXYZ is a kite, find each measure. 25. WP

1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line. Foldable

To Explore the Properties of Parallelogram

Parallels and Euclidean Geometry

Geometry by Jurgensen, Brown and Jurgensen Postulates and Theorems from Chapter 1

A. 100 B. 110 C. 115 D. 145 E. 210

Geometer s Skethchpad 7th Grade Guide to Learning Geometry

UNIT 6 SIMILARITY OF FIGURES

6th FGCU Invitationdl Math Competition

SOLUTION: The trapezoid ABCD is an isosceles trapezoid. So, each pair of base angles is congruent. Therefore,

Geometer s Skethchpad 8th Grade Guide to Learning Geometry

Title: Quadrilaterals Aren t Just Squares

Lesson 3.1 Duplicating Segments and Angles

Regents Exam Questions G.G.69: Quadrilaterals in the Coordinate Plane 2

Polygon Unit Test Review

1. What term describes a transformation that does not change a figure s size or shape?

Areas of Tropezoids, Rhombuses, and Kites

0810ge. Geometry Regents Exam y # (x $ 3) 2 % 4 y # 2x $ 5 1) (0,%4) 2) (%4,0) 3) (%4,%3) and (0,5) 4) (%3,%4) and (5,0)

Copying a Line Segment

KCATM Geometry

Geometry Midterm Review Spring 2011 Name Date Period. 2. Name three points that are collinear Name a pair of opposite rays. 3.

Discussion: With a partner, discuss what you believe a parallelogram is? Parallelogram Definition:

CHARACTERISTICS AND CLASSIFICATION OF SHAPES and 1.3.2

What You ll Learn. Why It s Important

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 17, :30 to 3:30 p.m.

GEOMETRY. Workbook Common Core Standards Edition. Published by TOPICAL REVIEW BOOK COMPANY. P. O. Box 328 Onsted, MI

11.2 Areas of Trapezoids,

JK XY LJ LJ ZX KL KL YZ LJ KL YX KJ. Final Exam Review Modules 10 16, 18 19

Angles and. Learning Goals U N I T

Mathematics 43601F. Geometry. In the style of General Certificate of Secondary Education Foundation Tier. Past Paper Questions by Topic TOTAL

Geometry Semester 2 Final Review

Are You Ready? Find Perimeter

Assignment Assigned Date Due Date Grade 4.7 Worksheet

9.1 and 9.2 Introduction to Circles

Unit 7 Scale Drawings and Dilations

Semester 1 Final Exam Review

Extra Practice 1. Name Date. Lesson 8.1: Parallel Lines. 1. Which line segments are parallel? How do you know? a) b) c) d)

GEO: Sem 1 Unit 1 Review of Geometry on the Coordinate Plane Section 1.6: Midpoint and Distance in the Coordinate Plane (1)

Building Blocks of Geometry

1. Write the angles in order from 2. Write the side lengths in order from

Fair Game Review. Chapter 7. Name Date

9.1 Properties of Parallelograms

ISBN Copyright 2015 The Continental Press, Inc.

TERRA Environmental Research Institute

All in the Family. b. Use your paper tracing to compare the side lengths of the parallelogram. What appears to be true? Summarize your findings below.

PENNSYLVANIA. List properties, classify, draw, and identify geometric figures in two dimensions.

Class : VI - Mathematics

Name Period Date. GEOMETRY AND MEASURESUREMENT Student Pages for Packet 6: Drawings and Constructions

The Texas Education Agency and the Texas Higher Education Coordinating Board Geometry Module Pre-/Post-Test. U x T'

Class:.. Homework Rubric : ( 10 marks )

Droodle for Geometry Final Exam

GEOMETRY (Common Core)

Semester A Review Answers. 1. point, line, and plane. 2. one. 3. three. 4. one or No, since AB BC AC 11. AC a. EG FH.

GEOMETRY CHAPTER 8 TEST

Cross Sections of Three-Dimensional Figures

8 th Grade Domain 3: Geometry (28%)

The problems in this booklet are organized into strands. A problem often appears in multiple strands. The problems are suitable for most students in

The Quadrilateral Detective

FSA Geometry EOC Getting ready for. Circles, Geometric Measurement, and Geometric Properties with Equations.

Transcription:

Class: Date: Geometry - Chapter 6 Review 1. Find the sum of the measures of the angles of the figure. 4. Find the value of x. The diagram is not to scale. A. 1260 B. 900 C. 540 D. 720 2. The sum of the angle measures of a polygon with s sides is 2340. Find s. A. 13 B. 14 C. 17 D. 15 A. 90 B. 45 C. 35 D. 145 5. Find m A. The diagram is not to scale. 3. What is the measure of one angle in a regular 30-gon? A. 192 B. 84 C. 168 D. 5040 A. 107 B. 117 C. 63 D. 73 6. The sum of the measures of two exterior angles of a triangle is 264. What is the measure of the third exterior angle? A. 96 B. 84 C. 106 D. 86 1

7. How many sides does a regular polygon have if each exterior angle measures 30? A. 15 sides B. 12 sides C. 14 sides D. 11 sides 10. Find the values of the variables in the parallelogram. The diagram is not to scale. 8. This jewelry box has the shape of a regular pentagon. It is packaged in a rectangular box as shown here. The box uses two pairs of congruent right triangles made of foam to fill its four corners. Find the measure of the foam angle marked. A. x 53, y 31, z 96 B. x 53, y 53, z 127 C. x 31, y 53, z 96 D. x 31, y 53, z 127 A. 54 B. 36 C. 18 D. 72 9. A nonregular hexagon has five exterior angle measures of 55, 58, 69, 57, and 55. What is the measure of the interior angle adjacent to the sixth exterior angle? A. 104 B. 66 C. 114 D. 124 11. In the parallelogram, m QRP 32 and m PRS 84. Find m PQR. The diagram is not to scale. A. 84 B. 116 C. 32 D. 64 2

12. ABCD is a parallelogram. If m CDA 63, then m ABC?. The diagram is not to scale. A. 117 B. 127 C. 78 D. 63 13. What is the missing reason in the proof? Given: ABCD with diagonal BD Prove: ABD CDB Statements Reasons 1. AD BC 1. Definition of parallelogram 2. ADB CBD 2. Alternate Interior Angles Theorem 3. AB CD 3. Definition of parallelogram 4. ABD CDB 4. Alternate Interior Angles Theorem 5. DB DB 5.? 6. ABD CDB 6. ASA A. Reflexive Property of Congruence C. ASA B. Alternate Interior Angles Theorem D. Definition of parallelogram 3

14. In parallelogram DEFG, DH = x + 2, HF = 2y, GH = 4x 3, and HE = 5y + 1. Find the values of x and y. The diagram is not to scale. 16. In the figure, the horizontal lines are parallel and AB BC CD. Find JM. The diagram is not to scale. A. x = 8, y = 5 B. x = 5, y = 8 C. x = 4, y = 6 D. x = 6, y = 4 15. Find AM in the parallelogram if PN =15 and AO = 6. The diagram is not to scale. A. 27 B. 36 C. 9 D. 18 17. If m B m D 46, find m C so that quadrilateral ABCD is a parallelogram. The diagram is not to scale. A. 12 B. 6 C. 15 D. 7.5 A. 46 B. 92 C. 134 D. 268 4

18. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale. 19. Which statement can you use to conclude that quadrilateral XYZW is a parallelogram? A. x = 8, y = 6 B. x = 6, y = 8 C. x = 8, y = 17 D. x = 8, y = 10 A. YN NX and XN NY B. XW WZ and XY WZ C. XW YZ and XY WZ D. XW YZ and XY YZ 20. Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain. Given: XN NZ and NY NW A. Yes; opposite sides are congruent. B. Yes; two opposite sides are both parallel and congruent. C. Yes; diagonals of a parallelogram bisect each other. D. No; you cannot determine that the quadrilateral is a parallelogram. 5

21. Classify the figure in as many ways as possible. 23. In the rhombus, m 1 140. What are m 2 and m 3? The diagram is not to scale. A. rectangle, square, quadrilateral, parallelogram, rhombus B. rectangle, square, parallelogram C. rhombus, quadrilateral, square D. square, rectangle, quadrilateral 22. In the rhombus, m 1 15x, m 2 x y, and m 3 30z. Find the value of each variable. The diagram is not to scale. A. m 2 = 40, m 3 70 B. m 2 = 140, m 3 20 C. m 2 = 40, m 3 20 D. m 2 = 140, m 3 70 24. Find the measure of the numbered angles in the rhombus. The diagram is not to scale. A. x = 12, y = 84, z = 6 B. x = 12, y = 174, z = 3 C. x = 6, y = 84, z = 3 D. x = 6, y = 174, z = 6 A. m 1 90, m 2 = 24, and m 3 78 B. m 1 90, m 2 = 66, and m 3 24 C. m 1 90, m 2 = 24, and m 3 24 D. m 1 90, m 2 = 24, and m 3 66 25. DEFG is a rectangle. DF = 5x 3 and EG = x + 5. Find the value of x and the length of each diagonal. A. x = 1, DF = 6, EG = 6 B. x = 2, DF = 7, EG = 12 C. x = 2, DF = 6, EG = 6 D. x = 2, DF = 7, EG = 7 6

26. In rectangle KLMN, KM = 10x 24 and LN = 64. Find the value of x. 28. Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain. A. 5 B. 4 C. 3 D. 40 27. In rectangle PQRS, PR = 18x 28 and QS = x + 380. Find the value of x and the length of each diagonal. A. Parallelogram ABCD is a rhombus, because the diagonal bisects two angles. B. Parallelogram ABCD is a rectangle, because the diagonal creates congruent angles. C. Parallelogram ABCD is a square, because all four angles have the same measure. D. There is not enough information. 29. In quadrilateral ABCD, m ACD 2x 4 and m ACB 5x 8. For what value of x is ABCD a rhombus? A. x = 24, PR = 202, QS = 202 B. x = 12, PR = 392, QS = 392 C. x = 24, PR = 404, QS = 404 D. x = 25, PR = 422, QS = 422 A. 3 B. 4 C. 5 D. 6 7

30. In quadrilateral ABCD, AE x 6 and BE 3x 18. For what value of x is ABCD a rectangle? 33. The isosceles trapezoid is part of an isosceles triangle with a 42 vertex angle. What is the measure of an acute base angle of the trapezoid? Of an obtuse base angle? The diagram is not to scale. A. 18 B. 12 C. 16 D. 14 31. Find the values of a and b. The diagram is not to scale. A. 69 ; 138 B. 42 ; 111 C. 42 ; 138 D. 69 ; 111 34. LM is the midsegment of ABCD. AB 72 and DC 104. What is LM? A. a 115, b 71 B. a 115, b 65 C. a 109, b 71 D. a 109, b 65 32. J and M are base angles of isosceles trapezoid JKLM. If m J 18x 8, and m M 11x 15, find m K. A. 1 B. 154 C. 77 D. 26 A. 176 B. 98 C. 88 D. 32 8

35. LM is the midsegment of ABCD. AB x 8, LM 4x 3, and DC 243. What is the value of x? 37. m R 120 and m S 110. Find m T. The diagram is not to scale. A. 43 B. 35 C. 286 D. 39 36. Find m 1 and m 3 in the kite. The diagram is not to scale. A. 60 B. 10 C. 110 D. 20 38. Find the values of the variables and the lengths of the sides of this kite. A. m 1 17, m 3 73 B. m 1 17, m 3 17 C. m 1 73, m 3 17 D. m 1 73, m 3 73 A. x = 9, y = 14; 11, 20 B. x = 14, y = 9; 11, 11 C. x = 14, y = 9; 6, 16 D. x = 9, y = 14; 6, 16 39. Which diagram shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane? 9

A. 40. Which diagram shows the most useful positioning of a rectangle in the first quadrant of a coordinate plane? A. B. B. C. C. D. D. 10

2024 © hobbydocbox.com Privacy Policy | Terms of Service | Feedback