Name: Date: Period: 1. In the diagram below,. [G.CO.6] 2. The diagram below shows a pair of congruent triangles, with and. [G.CO.


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1 Name: Date: Period: Directions: Read each question carefully and choose the best answer for each question. You must show LL of your work to receive credit. 1. In the diagram below,. [G.CO.6] Which statement must not be true? a. B RP b. P B c. C PR d. RQ C 2. The diagram below shows a pair of congruent triangles, with and. [G.CO.7] Which statement must be true? a. D BC b. C C c. DC BC d. DC BC 3. The two triangleshaped hot tubs are congruent. Find the missing side lengths and angle measures. [G.CO.7] w 35 o 9.1 ft. m 7 ft. v u 55 o 6 ft. s a. w = 6 ft., v = 55 o, m = 35 o, s = 7 ft. b. w = 6 ft., v = 35 o, m = 55 o, s = 7 ft. c. w = 9.1 ft., v = 55 o, m = 35 o, s = 6 ft. d. w = 9.1 ft., v = 35 o, m = 55 o, s = 6 ft.
2 4. Which of the following is not true for two congruent triangles BOX and TOP? [G.CO.7] a. is reflected. b. c. d. 5. ladder leans against a building, forming a right triangle. If the top of the ladder slides down a little from the original resting place, is the new triangle congruent to the one before? [G.CO.7] a. No, because the angle formed by the ladder changed. b. No, because the length of the ladder changed. c. Yes, because the ladder was translated. d. Yes, because the ladder was rotated. 6. Which postulate or theorem can be used to determine the two triangles are congruent? [G.CO.8] E D B C a. SSS Congruence Postulate b. S Congruence Postulate c. S Congruence Postulate d. SS Congruence Postulate 7. In the diagram below of and,, and [G.CO.8] O T C G D To prove that and are congruent by S, what other information is needed? a. b. c. d.
3 8. In the diagram of quadrilateral GOT, and diagonal is drawn. [G.CO.8] Which method can be used to prove OT is congruent to TGO? a. SSS b. SS c. S d. SS 9. s shown in the diagram below, bisects and. [G.CO.8] E L B Which method could be used to prove? a. SSS b. S c. S d. 10. Refer to the figure shown. Which of the following statements is true? [G.CO.8] C EC BC DC a. BC EDC by SSS b. BC EDC by SS c. BC DEC by SS d. BC DEC by SS
4 11. If is a perpendicular bisector of, what can we use to prove that is congruent to? [G.CO.8] a. Base ngle Theorem b. Vertical ngle Theorem c. S d. SS 12. Which of the following statements is not correct? [G.CO.8] a. S postulate states that if two angles and a no included side on one triangle are congruent to the corresponding parts of another, the two triangles are congruent. b. SS postulate states that if two sides and their common angle on one triangle are congruent to the corresponding parts in another, the two triangles are congruent. c. S postulate states that if two angles of a triangle and a noncommon side on one triangle are congruent to the corresponding parts in another, the two triangles are congruent. d. None of the above. 13. Find the value of x in the diagram below. [G.CO.9] a. b. c. d.
5 14. Find the value of x. [G.CO.9] a. b. c. d. 15. If is parallel to what is the measure, in degrees, of? [G.CO.9] B C 107 o a. b. c. d. 16. Which geometric principle is used to justify the construction below? [G.CO.9] a. When two lines are intersected by a transversal and alternate interior angles are congruent, the lines are parallel. b. Two lines are perpendicular if they intersect to form congruent adjacent angles. c. When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel. d. line perpendicular to one of two parallel lines is perpendicular to the other.
6 17. Which is a correct twocolumn proof? [G.CO.9] Given: Prove: a. b. c. d. None of the above.
7 18. There are five ways to prove that lines are parallel. Which of the methods below is not one of these methods? [G.CO.9] a. Demonstrate that both lines are perpendicular to a third. b. Demonstrate that a pair of interior angles on opposite sides is supplementary. c. Demonstrate congruence of a pair of corresponding angles. d. Demonstrate congruence of a pair of alternate interior angles. 19. Which statement would be used to help find the missing value? [G.CO.11] a. Opposite angles of a parallelogram are congruent b. Consecutive angles of a parallelogram are supplementary c. Opposite sides of a parallelogram are congruent d. Opposite sides of a parallelogram are supplementary 20. To prove a parallelogram is a rectangle, you can show [G.CO.11] a. Diagonals are congruent. b. Diagonals bisect each other. c. Diagonals are perpendicular to each other. d. Diagonals bisect angles to which they are drawn.
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