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1. |
Which figure is an isosceles triangle? |
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A. |
 |
B. |
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C. |
 |
D. |
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Hint |
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2. |
Find the value of x. |
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A. |
145 |
B. |
135 |
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C. |
125 |
D. |
45 |
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Hint |
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3. |
Which postulate or theorem shows that  |
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A. |
SAS Postulate |
B. |
SSS Postulate |
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C. |
AAS Theorem |
D. |
ASA Postulate |
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Hint |
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4. |
Refer to the figure. If  is isosceles, which of the following can be used to prove  |
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A. |
ASA Postulate |
B. |
SAS Postulate |
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C. |
SSS Postulate |
D. |
AAS Theorem |
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Hint |
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5. |
What is the value of x? |
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A. |
58° |
B. |
122° |
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C. |
64° |
D. |
65° |
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Hint |
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6. |
Find XY on the number line shown. |
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A. |
7 |
B. |
0 |
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C. |
-7 |
D. |
4 |
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Hint |
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7. |
Two triangles are necessarily congruent if and only if __________. |
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A. |
their corresponding sides and corresponding angles are congruent, and they are rotated to the same position. |
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B. |
their corresponding angles are congruent. |
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C. |
two of their sides are congruent. |
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D. |
their corresponding sides and corresponding angles are congruent. |
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Hint |
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8. |
If triangle FGH is congruent to triangle JKI, name the corresponding angles. |
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A. |
 F  J, G K, H I |
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B. |
F K, G I, H J |
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C. |
F I, G J, H K |
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D. |
F G, H I, J K |
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Hint |
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9. |
Refer to the figure. If  is perpendicular to both  and  , and  , then  ABG ________ by _________. |
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A. |
FEG by ASA |
B. |
FEG by AAS |
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C. |
EFG by ASA |
D. |
EFG by AAS |
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Hint |
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10. |
There are two triangular flags in front of Allison’s school. Suppose m∠P and m∠S are 75, and m∠Q and m∠T are 30. The lengths PQ and ST measure 3.5 feet. Determine whether triangles PQR and STU are congruent. If they are congruent, state the definition of congruent triangles that proves their congruence. |
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A. |
AAS |
B. |
SAS |
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C. |
not congruent |
D. |
ASA |
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Hint |
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