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1. |
Which figure is an isosceles triangle? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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2. |
Most residential roofs are made of roof trusses. A diagram of a roof truss is shown. Notice that it is triangular in shape. Name the corresponding sides. |
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A. |
   ,  ,   |
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B. |
  , , |
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C. |
,  , |
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D. |
, , |
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Hint |
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3. |
 by the _______________. |
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A. |
SAS Postulate |
B. |
SSS Postulate |
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C. |
SSA Postulate |
D. |
ASA Postulate |
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Hint |
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4. |
In the figure,  intersects  at H. Which additional fact is needed to prove  by ASA? |
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A. |
  |
B. |
  |
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C. |
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D. |
  |
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Hint |
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5. |
Which statement is not true? |
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A. |
A triangle cannot be obtuse and contain a 90° angle. |
B. |
A triangle cannot be scalene and isosceles. |
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C. |
A triangle can be obtuse and isosceles. |
D. |
In an isosceles triangle, the base is congruent to one of the legs. |
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Hint |
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6. |
Find the value of x. |
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A. |
10 |
B. |
40 |
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C. |
42 |
D. |
14 |
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Hint |
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7. |
Find the measure of  1. |
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A. |
70° |
B. |
60° |
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C. |
90° |
D. |
50° |
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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 K, G I, H J |
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B. |
F J, G K, H I |
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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. |
Which postulate or theorem can be used to prove that the two triangles shown are congruent? |
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A. |
ASA Postulate |
B. |
SAS Postulate |
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C. |
AAS Theorem |
D. |
SSS Postulate |
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Hint |
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10. |
Since AAS is a theorem and SSS, SAS, and ASA are all postulates, ___________________. |
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A. |
AAS is technically the only way to prove two triangles to be congruent. |
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B. |
AAS can be proven, but SSS, SAS, and ASA are just accepted as facts. |
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C. |
AAS is a less reliable way to see if two triangles are congruent. |
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D. |
AAS cannot be proven. |
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Hint |
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11. |
In isosceles  PQR with base  , PQ = 2x + 3, and PR = 9x - 11. What is the value of x? |
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A. |
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B. |
7 |
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C. |
2 |
D. |
-7 |
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Hint |
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12. |
What is the value of each of the two sides opposite the congruent angles in the triangle pictured? |
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A. |
15 |
B. |
75 |
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C. |
39 |
D. |
27 |
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Hint |
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13. |
Find the length of the hypotenuse of this right triangle. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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14. |
Which of the following is not often used in a coordinate proof? |
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A. |
Angle Sum Theorem |
B. |
Distance Formula |
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C. |
Quadratic Formula |
D. |
Midpoint Formula |
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Hint |
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