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Geometry Chapter 6 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Find the sum of the measures of the angles of the figure. ____ a. 900 b. 1080 c. 1620 d. 1260 2. The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____. a. b. c. d. ____ ____ 3. A road sign is in the shape of a regular heptagon. What is the measure of each angle on the sign? Round to the nearest tenth. a. 900 b. 231.4 c. 128.6 4. Find the value of x. The diagram is not to scale. d. 64.3 (2x + 10)º 148º (2x)º 112º ____ ____ a. 90 b. 35 c. 100 d. 45 5. How many sides does a regular polygon have if each exterior angle measures 20? a. 17 sides b. 20 sides c. 21 sides d. 18 sides 6. Find the values of the variables in the parallelogram. The diagram is not to scale. 29 102 y° z° ____ x° a. b. 7. In the parallelogram, c. d. and J Find The diagram is not to scale. K O M ____ L a. 69 b. 106 8. For the parallelogram, if 3 and find d. 64 The diagram is not to scale. 4 2 ____ c. 116 1 a. 9 b. 17 9. What is the missing reason in the proof? Given: with diagonal Prove: A D Statements c. 173 B C Reasons d. 163 1. Definition of parallelogram 1. 2. 3. 4. 5. 6. 2. Alternate Interior Angles Theorem 3. ? 4. Alternate Interior Angles Theorem 5. Reflexive Property of Congruence 6. ASA a. Reflexive Property of Congruence c. Alternate Interior Angles Theorem b. Definition of parallelogram d. ASA ____ 10. In the figure, the horizontal lines are parallel and Find JM. The diagram is not to scale. M A 8 L B K C J D a. 16 b. 32 c. 8 d. 24 ____ 11. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale. A B 4x – 2 y + 14 4y – 7 x + 28 D C a. x = 10, y = 38 b. x = 10, y = 21 c. x = 10, y = 7 d. x = 7, y = 10 ____ 12. Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain. a. Yes; both pairs of opposite sides are congruent. b. Yes; opposite angles are congruent. | | c. No; you cannot prove that the quadrilateral is a parallelogram. d. Yes; two opposite sides are both parallel and congruent. ____ 13. Which description does NOT guarantee that a quadrilateral is a square? a. is both a rectangle and a rhombus b. is a parallelogram with perpendicular diagonals c. has all sides congruent and all angles congruent d. has all right angles and has all sides congruent ____ 14. In the rhombus, Find the value of each variable. The diagram is not to scale. 3 1 | | 2 a. x = 10, y = 85, z = 6 c. x = 5, y = 85, z = 3 b. x = 5, y = 175, z = 6 d. x = 10, y = 175, z = 3 ____ 15. Find the values of a and b.The diagram is not to scale. a° 36° 113° b° a. c. b. d. ____ 16. Judging by appearances, which figure is a trapezoid? a. c. b. d. ____ 17. What is LM? A B L M D C a. 171 ____ 18. Find b. 85.5 c. 79 in the kite. The diagram is not to scale. d. 95.5 | 3 1 2 B || || D 39° | A C a. 51, 51 b. 39, 39 c. 39, 51 d. 51, 39 Short Answer 19. For what values of x and y must this quadrilateral be a parallelogram? Find the lengths of the sides. The diagram is not to scale. 4x 2x + 4 6y 3y + 19 20. Isosceles trapezoid ABCD has legs 19, find the value of y. and and base If AB = 4y – 6, BC = 4y – 5, and CD = 5y – Geometry Chapter 6 Practice Test Answer Section MULTIPLE CHOICE 1. ANS: A PTS: 1 NAT: M.1.d| G.3.f KEY: sum of angles of a polygon DOK: DOK 1 2. ANS: D PTS: 1 NAT: M.1.d| G.3.f KEY: Polygon Angle-Sum Theorem DOK: DOK 1 3. ANS: C PTS: 1 NAT: M.1.d| G.3.f KEY: sum of angles of a polygon | equilateral | Corollary to the Polygon Angle-Sum Theorem | regular polygon DOK: DOK 2 4. ANS: D PTS: 1 NAT: M.1.d| G.3.f KEY: Polygon Angle-Sum Theorem DOK: DOK 2 5. ANS: D PTS: 1 NAT: M.1.d| G.3.f KEY: sum of angles of a polygon DOK: DOK 2 6. ANS: D PTS: 1 NAT: G.1.c| G.3.f KEY: parallelogram | opposite angles | consecutive angles | transversal DOK: DOK 2 7. ANS: C PTS: 1 NAT: G.1.c| G.3.f KEY: parallelogram | angles DOK: DOK 2 8. ANS: D PTS: 1 NAT: G.1.c| G.3.f KEY: algebra | parallelogram | opposite angles | consecutive angles DOK: DOK 2 9. ANS: B PTS: 1 NAT: G.1.c| G.3.f KEY: proof | two-column proof | parallelogram | diagonal DOK: DOK 2 10. ANS: D PTS: 1 NAT: G.1.c| G.3.f KEY: transversal | parallel lines DOK: DOK 2 11. ANS: C PTS: 1 NAT: G.1.c| G.3.f KEY: algebra | parallelogram | diagonal DOK: DOK 2 12. ANS: B PTS: 1 NAT: G.1.c| G.3.f KEY: opposite angles | parallelogram DOK: DOK 2 13. ANS: B PTS: 1 NAT: G.1.c| G.3.f KEY: square | reasoning DOK: DOK 1 14. ANS: C PTS: 1 NAT: G.1.c| G.3.f KEY: algebra | diagonal | rhombus DOK: DOK 2 15. ANS: A PTS: 1 NAT: G.1.c| G.3.f KEY: trapezoid | base angles DOK: DOK 2 16. ANS: D PTS: 1 NAT: G.1.c| G.3.f KEY: trapezoid DOK: DOK 1 17. ANS: B PTS: 1 NAT: G.1.c| G.3.f KEY: trapezoid | base angles DOK: DOK 2 18. ANS: C PTS: 1 NAT: G.1.c| G.3.f KEY: kite | diagonal DOK: DOK 2 SHORT ANSWER 19. ANS: x = 7, y = 3; 18, 28 PTS: 1 DOK: DOK 2 20. ANS: 13 NAT: G.1.c| G.3.f KEY: algebra | rectangle PTS: 1 DOK: DOK 2 NAT: G.1.c| G.3.f KEY: isosceles trapezoid | algebra