| |
| |
1. |
A ______________ is a logical argument in which each statement is backed up by a statement that is accepted as true. |
| |
|
A. |
postulate |
B. |
theorem |
| |
|
C. |
definition |
D. |
proof |
| |
|
Hint |
|
| |
2. |
In the figure, bisects at V. Find the measure of if VZ=4a+3 and VW=15-2a. |
| |
|
 |
| |
|
A. |
28 |
B. |
24 |
| |
|
C. |
22 |
D. |
12 |
| |
|
Hint |
|
| |
3. |
Looking at several specific situations to arrive at an educated guess is called __________. |
| |
|
A. |
a conjecture |
B. |
inductive reasoning |
| |
|
C. |
deductive reasoning |
D. |
guessing |
| |
|
Hint |
|
| |
4. |
Refer to the figure. If G is the midpoint of , which conjecture is true? |
| |
|
 |
| |
|
A. |
intersects at exactly two points. |
| |
|
B. |
None of the statements are true. |
| |
|
C. |
is exactly 5 feet long. |
| |
|
D. |
 |
| |
|
Hint |
|
| |
5. |
The Parallel Postulate states, ''If there is a line and a point not on the line, then there exists _______________ line through the point that is parallel to the given line.'' |
| |
|
A. |
exactly one |
B. |
more than one |
| |
|
C. |
no |
D. |
infinitely many |
| |
|
Hint |
|
| |
6. |
Which segment represents the distance from N to ? |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
Which postulate or theorem shows that  |
| |
|
 |
| |
|
A. |
SSS Postulate |
B. |
SAS Postulate |
| |
|
C. |
AAS Theorem |
D. |
ASA Postulate |
| |
|
Hint |
|
| |
8. |
What is the measure of each angle of an equilateral triangle? |
| |
|
A. |
30° |
B. |
60° |
| |
|
C. |
45° |
D. |
90° |
| |
|
Hint |
|
| |
9. |
In isosceles with base and Find the measure of  |
| |
|
A. |
34 |
B. |
96 |
| |
|
C. |
52 |
D. |
42 |
| |
|
Hint |
|
| |
10. |
Which is an equation of the line parallel to y = 6x - 4 and passing through (-3, -8)? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
y = 6x + 10 |
D. |
y = 6x - 8 |
| |
|
Hint |
|
| |
11. |
If bisects which angle is congruent to |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
The starting point of a proof is the _____ of the conditional and the end is the _____ of the conditional. |
| |
|
A. |
conjecture, justification |
B. |
hypothesis, conclusion |
| |
|
C. |
statement, reason |
D. |
conclusion, hypothesis |
| |
|
Hint |
|
| |
13. |
For the proof shown, provide statement 3. |
| |
|
 |
| |
|
 |
| |
|
A. |
AB = BA |
B. |
AB = CD |
| |
|
C. |
AB = EF |
D. |
CD = EF |
| |
|
Hint |
|
| |
14. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
| |
|
A. |
If possible, draw a diagram to illustrate the given information. |
| |
|
B. |
List the given information. |
| |
|
C. |
State the theorem to be proved. |
| |
|
D. |
Assume what you are trying to prove is true. |
| |
|
Hint |
|
| |
15. |
Find the value of x so the line that passes through (x, 6) and (10,-3) is parallel to the line that passes through (7, 2) and (6, 11) |
| |
|
A. |
-9 |
B. |
1 |
| |
|
C. |
9 |
D. |
-71 |
| |
|
Hint |
|
| |
16. |
Which graph has a slope of zero? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
17. |
Which postulate or theorem can be used to prove that the two triangles shown are congruent? |
| |
|
 |
| |
|
A. |
SAS Postulate |
B. |
AAS Theorem |
| |
|
C. |
SSS Postulate |
D. |
ASA Postulate |
| |
|
Hint |
|
| |
18. |
Refer to the figure. If is perpendicular to both and , and , then ABG ________ by _________. |
| |
|
 |
| |
|
A. |
EFG by AAS |
B. |
EFG by ASA |
| |
|
C. |
FEG by ASA |
D. |
FEG by AAS |
| |
|
Hint |
|
| |
19. |
Determine the range for a measurement of 5 yards. |
| |
|
A. |
yd to yd |
B. |
4 yd to 6 yd |
| |
|
C. |
ft to ft |
D. |
ft to ft |
| |
|
Hint |
|
| |
20. |
A group of 7 people get together for a meeting. Before the meeting starts, they each shake hands with every person at the meeting. If a person only shakes hands with another person once, how many handshakes were there before the meeting began? |
| |
|
A. |
21 |
B. |
7 |
| |
|
C. |
15 |
D. |
42 |
| |
|
Hint |
|
|
|