| |
| |
1. |
Classify  |
| |
|
 |
| |
|
A. |
equiangular |
B. |
right |
| |
|
C. |
acute |
D. |
obtuse |
| |
|
Hint |
|
| |
2. |
Which triangle is isosceles? |
| |
|
A. |
 with vertices R(3,5), S(1,-8),and T(-1,7) |
| |
|
B. |
 with vertices F(-1,-5), G(-3,4), and H(5,2) |
| |
|
C. |
 with vertices A(3,0), B(0,6), and C(3,6) |
| |
|
D. |
 with vertices M(4,5), N(4,2), and P(-5,2) |
| |
|
Hint |
|
| |
3. |
Find  |
| |
|
 |
| |
|
A. |
56 |
B. |
62 |
| |
|
C. |
50 |
D. |
68 |
| |
|
Hint |
|
| |
4. |
What is the measure of  |
| |
|
 |
| |
|
A. |
32 |
B. |
120 |
| |
|
C. |
31 |
D. |
62 |
| |
|
Hint |
|
| |
5. |
Congruence of triangles is reflexive, _____________, and transitive. |
| |
|
A. |
commutative |
B. |
symmetric |
| |
|
C. |
distributive |
D. |
associative |
| |
|
Hint |
|
| |
6. |
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. |
| |
|
 |
| |
|
A. |
   ,  ,   |
| |
|
B. |
 , , |
| |
|
C. |
 , , |
| |
|
D. |
 , , |
| |
|
Hint |
|
| |
7. |
Refer to the figure. If  and 
then  _____ by _____. |
| |
|
 |
| |
|
A. |
 by ASA |
B. |
 by ASA |
| |
|
C. |
 by ASA |
D. |
 by ASA |
| |
|
Hint |
|
| |
8. |
Refer to the figure. If  is isosceles, which of the following can be used to prove  |
| |
|
 |
| |
|
A. |
SAS Postulate |
B. |
AAS Theorem |
| |
|
C. |
ASA Postulate |
D. |
SSS Postulate |
| |
|
Hint |
|
| |
9. |
is equilateral. What are the coordinates of A? |
| |
|
 |
| |
|
A. |
 |
B. |
(-2b, 0) |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Which postulate or theorem can be used to prove that the two triangles shown are congruent? |
| |
|
 |
| |
|
A. |
SAS Postulate |
B. |
AAS Theorem |
| |
|
C. |
ASA Postulate |
D. |
SSS Postulate |
| |
|
Hint |
|
| |
11. |
Since AAS is a theorem and SSS, SAS, and ASA are all postulates, ___________________. |
| |
|
A. |
AAS is a less reliable way to see if two triangles are congruent. |
| |
|
B. |
AAS can be proven, but SSS, SAS, and ASA are just accepted as facts. |
| |
|
C. |
AAS cannot be proven. |
| |
|
D. |
AAS is technically the only way to prove two triangles to be congruent. |
| |
|
Hint |
|
| |
12. |
If two angles of an isosceles triangle are each twice the measure of the other angle, what is the measure of this other angle? |
| |
|
A. |
18° |
B. |
64° |
| |
|
C. |
72° |
D. |
36° |
| |
|
Hint |
|
| |
13. |
What is the value of each of the two sides opposite the congruent angles in the triangle pictured? |
| |
|
 |
| |
|
A. |
27 |
B. |
75 |
| |
|
C. |
15 |
D. |
39 |
| |
|
Hint |
|
| |
14. |
Which of the following is not often used in a coordinate proof? |
| |
|
A. |
Quadratic Formula |
B. |
Angle Sum Theorem |
| |
|
C. |
Midpoint Formula |
D. |
Distance Formula |
| |
|
Hint |
|
|
|