| |
| |
1. |
How many planes appear in the figure shown? |
| |
|
 |
| |
|
A. |
6 |
B. |
8 |
| |
|
C. |
7 |
D. |
9 |
| |
|
Hint |
|
| |
2. |
The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________. |
| |
|
A. |
detachment reasoning |
B. |
deductive reasoning |
| |
|
C. |
reasonable doubt |
D. |
inductive reasoning |
| |
|
Hint |
|
| |
3. |
Which statement follows from statements (1) and (2) by the Law of Syllogism? (1) If an object is a square, then it is a rhombus.
(2) If an object is a rhombus, then it is an equilateral. |
| |
|
A. |
If an object is a square, then it is an equilateral. |
B. |
If an object is an equilateral, then it is a square. |
| |
|
C. |
An object is a rhombus. |
D. |
An object is a square. |
| |
|
Hint |
|
| |
4. |
''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion. |
| |
|
A. |
The sum of 8 and 24 must be odd. |
| |
|
B. |
The sum of 8 and 24 must be even. |
| |
|
C. |
If the numbers 8 and 24 are odd, then their sum is 32. |
| |
|
D. |
If the numbers 8 and 24 are even, then their sum is 32. |
| |
|
Hint |
|
| |
5. |
Find the slope of the line. |
| |
|
 |
| |
|
A. |
0 |
B. |
4 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Which statement cannot be used to prove  |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
   |
D. |
slope  slope  |
| |
|
Hint |
|
| |
7. |
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 |
|
| |
8. |
 |
| |
|
 |
| |
|
A. |
AC < XZ |
B. |
 |
| |
|
C. |
AC = XZ |
D. |
AC > XZ |
| |
|
Hint |
|
| |
9. |
Find the value of x. |
| |
|
 |
| |
|
A. |
24 |
B. |
46.5 |
| |
|
C. |
12.75 |
D. |
35.25 |
| |
|
Hint |
|
| |
10. |
Name a pair of angles that are adjacent and complementary. |
| |
|
 |
| |
|
A. |
 LON andPOM |
| |
|
B. |
QOP andNOP |
| |
|
C. |
NOM andLON |
| |
|
D. |
NOM andPOM |
| |
|
Hint |
|
| |
11. |
What is true about the figure pictured? |
| |
|
 |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
12. |
Triangle RPG and triangle FAS are congruent. Which segment is necessarily congruent to  ? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
If    then triangle WXY is congruent to triangle _______. |
| |
|
 |
| |
|
A. |
WYZ |
B. |
WZY |
| |
|
C. |
YZW |
D. |
ZWY |
| |
|
Hint |
|
| |
14. |
Which postulate can be used to prove the triangles congruent? |
| |
|
 |
| |
|
A. |
ASA Postulate |
B. |
SAS Postulate |
| |
|
C. |
SSS Postulate |
D. |
AAA Postulate |
| |
|
Hint |
|
| |
15. |
What is the relationship between AM and BM? |
| |
|
 |
| |
|
A. |
AM = BM |
B. |
AM > BM |
| |
|
C. |
It cannot be determined with the information given. |
D. |
AM < BM |
| |
|
Hint |
|
| |
16. |
If  bisects ABC and ADC, and P is the midpoint of , then ABCD can be most precisely defined as a _______. |
| |
|
 |
| |
|
A. |
square |
B. |
quadrilateral |
| |
|
C. |
rhombus |
D. |
rectangle |
| |
|
Hint |
|
| |
17. |
Write the equation of the line that has an x-intercept of –6 and a y-intercept of 3. |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
18. |
If C (-2, 3) is reflected over the line y = x, what are its new coordinates? |
| |
|
A. |
(2, -1) |
B. |
(2, -3) |
| |
|
C. |
(3, -2) |
D. |
(3, 2) |
| |
|
Hint |
|
| |
19. |
The freshman class of 63 students conducted a survey to compare how many students took Spanish as opposed to French as a foreign language. The results are shown in the Venn diagram. How many students studied neither Spanish nor French? |
| |
|
 |
| |
|
A. |
14 |
B. |
7 |
| |
|
C. |
1 |
D. |
25 |
| |
|
Hint |
|
| |
20. |
The statement if   , then demonstrates which property of congruence? |
| |
|
A. |
Transitive Property |
B. |
Identity Property |
| |
|
C. |
Reflexive Property |
D. |
Symmetric Property |
| |
|
Hint |
|
|
|