| |
| |
1. |
Triangle RST is isosceles with  as the vertex angle. If ST = 3x - 11, SR = x + 3, and RT = x - 2, find RT. |
| |
|
 |
| |
|
A. |
9 |
B. |
14 |
| |
|
C. |
7 |
D. |
5 |
| |
|
Hint |
|
| |
2. |
Name the remote interior angles of  |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
 by the _______________. |
| |
|
 |
| |
|
A. |
SAS Postulate |
B. |
ASA Postulate |
| |
|
C. |
SSS Postulate |
D. |
SSA Postulate |
| |
|
Hint |
|
| |
4. |
Is  an altitude of  Explain. |
| |
|
 |
| |
|
A. |
No; because is not a
median of  |
| |
|
B. |
Yes; because is a
perpendicular bisector
of |
| |
|
C. |
Yes; because has one
endpoint at vertex and
is perpendicular to  |
| |
|
D. |
No; because is
outside |
| |
|
Hint |
|
| |
5. |
Which assumption would you make to start an indirect proof of the statement Bob took the dog for a walk |
| |
|
A. |
Bob did not take the dog for a walk. |
| |
|
B. |
Bob does not have to take the dog for a walk. |
| |
|
C. |
Bob will take the dog for a walk. |
| |
|
D. |
Bob may take the dog for a walk. |
| |
|
Hint |
|
| |
6. |
Refer to the figure. Which statement is never true? |
| |
|
 |
| |
|
A. |
If  is obtuse, then EG > EF. |
| |
|
B. |
If EG = 6, ED = 8, and  then FG = DF. |
| |
|
C. |
If FG = 4, EGDE = 6, then EF < 18. |
| |
|
D. |
If DF = 20, FG = 13, and EG = 15, then EF = 11. |
| |
|
Hint |
|
| |
7. |
In parallelogram FGHI,   _________. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
The polygon shown is |
| |
|
 |
| |
|
A. |
regular |
B. |
an octagon |
| |
|
C. |
a hexagon |
D. |
concave |
| |
|
Hint |
|
| |
9. |
Find the value of x. |
| |
|
 |
| |
|
A. |
35.25 |
B. |
12.75 |
| |
|
C. |
24 |
D. |
46.5 |
| |
|
Hint |
|
| |
10. |
How many other triangles in the figure appear to be congruent to  ABC? |
| |
|
 |
| |
|
A. |
7 |
B. |
4 |
| |
|
C. |
8 |
D. |
3 |
| |
|
Hint |
|
| |
11. |
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 K, G I, H J |
| |
|
D. |
F G, H I, J K |
| |
|
Hint |
|
| |
12. |
Which postulate can be used to prove the triangles congruent? |
| |
|
 |
| |
|
A. |
not possible |
B. |
SSS Postulate |
| |
|
C. |
SAS Postulate |
D. |
ASA Postulate |
| |
|
Hint |
|
| |
13. |
If 15 and 20 are the lengths of two sides of a triangle, between what two numbers must the measure of the third side fall? |
| |
|
A. |
15 and 20 |
B. |
10 and 25 |
| |
|
C. |
5 and 35 |
D. |
10 and 35 |
| |
|
Hint |
|
| |
14. |
What best describes  |
| |
|
 |
| |
|
A. |
altitude |
B. |
perpendicular bisector |
| |
|
C. |
angle bisector |
D. |
median |
| |
|
Hint |
|
| |
15. |
Complete the section of the indirect proof.
mW is a right angle. Therefore, mW = 90° by _______________. |
| |
|
A. |
definition of a right angle |
B. |
definition of perpendicular bisectors |
| |
|
C. |
angle addition postulate |
D. |
definition of perpendicular lines |
| |
|
Hint |
|
| |
16. |
Parallelogram RSTV is a rhombus with  Find  |
| |
|
 |
| |
|
A. |
124° |
B. |
112° |
| |
|
C. |
56° |
D. |
68° |
| |
|
Hint |
|
| |
17. |
The measure of a pair of base angles of an isosceles trapezoid are (4x + 10) ° and (2x + 36) °. What is the measure of one base angle? |
| |
|
A. |
62° |
B. |
12° |
| |
|
C. |
120° |
D. |
118° |
| |
|
Hint |
|
| |
18. |
Two bases of a trapezoid are 24 inches and 36 inches If the median is (x + 4) inches, what is the value of x? |
| |
|
A. |
26 in. |
B. |
30 in. |
| |
|
C. |
58 in. |
D. |
60 in. |
| |
|
Hint |
|
|
|