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Geometry - Unit 6 Review
Multiple Choice Identify the choice that best completes the statement or answers the question.
____ 1. If BCDE is congruent to OPQR , then is congruent to a. b. c. d.
____ 2. In the paper airplane, and Find
A
B
E
F C G
D H
Drawing not to scale
a. 22 b. 90 c. 32 d. 158
____ 3. Use the information given in the diagram. Tell why and
M N
P O
a. Given, Given b. Given, Reflexive Property c. Reflexive Property, Transitive Property d. Transitive Property, Reflexive Property
____ 4. If , which of the following can you NOT conclude as being true? a. b. c. d.
____ 5.
a. b. c. d.
____ 6. Which congruence statement does NOT necessarily describe the triangles shown if
E G
D F H a. c. b. d.
____ 7. The two triangles are congruent as suggested by their appearance. Find the value of c. The diagrams are not to scale.
d°
f° e°
b
c
g
8
15
17
49°
41°
a. 49 b. 15 c. 17 d. 8
____ 8. Given and , find the length of QS and TV.
a. 20 b. 13 c. 12 d. 2
____ 12. In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA? a. c.
b. d.
____ 13. From the information in the diagram, can you prove? Explain.
a. yes, by ASA c. yes, by SAS b. yes, by AAA d. no
____ 14. Based on the given information, what can you conclude, and why?
Given:
Q
T
S
P
R
a. by ASA c. by SAS b. by ASA d. by SAS
____ 15. Name the theorem or postulate that lets you immediately conclude
A
D
C
B ((
a. ASA b. AAS c. SAS d. none of these
____ 16. If and , which additional statement does NOT allow you to conclude that ?
a. c. b. d.
____ 17. For which situation could you prove using the HL Theorem?
a. I only b. II only c. III only d. II and III
____ 21. Use the information in the figure. Find
102°
Drawing not to scale
D
E
F
|
|
a. 129° b. 78° c. 39° d. 51°
____ 22. Find the value of x. The diagram is not to scale.
T U
(5 x – 60)° (5 x )°
S
R
|^ |
a. b. c. d. none of these
____ 23. Find the values of x and y. The diagram is not to scale.
73°
59° (x – 1)° (y + 4)°
a. x = 44, y = 74 c. x = 74, y = 44 b. x = 74, y = 46 d. x = 59, y = 44
____ 24. Find the length of the midsegment. The diagram is not to scale.
53
53
62
6x + 2 62
3x + 76
a. 100 b. 50 c. 22 d. 24.
____ 25. What is the intersection of plane WXYZ and plane VUYZ?
a. b. c. d.
