| |
| |
1. |
Refer to the figure shown. Name the vertices of the equilateral triangle. |
| |
|
 |
| |
|
A. |
U, Z, W |
B. |
X, Y, Z |
| |
|
C. |
W, X, Y |
D. |
U, V, Z |
| |
|
Hint |
|
| |
2. |
What is if and  |
| |
|
 |
| |
|
A. |
68 |
B. |
31 |
| |
|
C. |
88 |
D. |
78 |
| |
|
Hint |
|
| |
3. |
Find  |
| |
|
 |
| |
|
A. |
62 |
B. |
68 |
| |
|
C. |
50 |
D. |
56 |
| |
|
Hint |
|
| |
4. |
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 |
|
| |
5. |
is isosceles. What is the x-coordinate of B? |
| |
|
 |
| |
|
A. |
b |
B. |
a |
| |
|
C. |
 |
D. |
0 |
| |
|
Hint |
|
| |
6. |
Which figure is an obtuse triangle? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
If triangle FGH is congruent to triangle JKI, name the corresponding angles. |
| |
|
 |
| |
|
A. |
F J, G K, H I |
| |
|
B. |
F I, G J, H K |
| |
|
C. |
F G, H I, J K |
| |
|
D. |
F K, G I, H J |
| |
|
Hint |
|
| |
8. |
Which postulate can be used to prove the triangles congruent? |
| |
|
 |
| |
|
A. |
SSS Postulate |
B. |
not possible |
| |
|
C. |
SAS Postulate |
D. |
ASA Postulate |
| |
|
Hint |
|
| |
9. |
Which pair of triangles shows FGH QRS by the AAS Theorem? |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
10. |
Refer to the figure. If and is perpendicular to both and , then FDA ________ by __________. |
| |
|
 |
| |
|
A. |
ACF by SAS |
B. |
CAD by SAS |
| |
|
C. |
ACF by ASA |
D. |
CAD by ASA |
| |
|
Hint |
|
| |
11. |
Since AAS is a theorem and SSS, SAS, and ASA are all postulates, ___________________. |
| |
|
A. |
AAS is technically the only way to prove two triangles to be congruent. |
| |
|
B. |
AAS can be proven, but SSS, SAS, and ASA are just accepted as facts. |
| |
|
C. |
AAS cannot be proven. |
| |
|
D. |
AAS is a less reliable way to see if two triangles are congruent. |
| |
|
Hint |
|
| |
12. |
Find the value of x. |
| |
|
 |
| |
|
A. |
20 |
B. |
10 |
| |
|
C. |
26 |
D. |
13 |
| |
|
Hint |
|
| |
13. |
In isosceles PQR with base , PQ = 2x + 3, and PR = 9x - 11. What is the value of x? |
| |
|
A. |
 |
B. |
-7 |
| |
|
C. |
2 |
D. |
7 |
| |
|
Hint |
|
| |
14. |
Find the length of the hypotenuse of this right triangle. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
|
|