| |
| |
1. |
Write the phrase ''18 more than 4 times a number'' as an algebraic expression. |
| |
|
A. |
4x - 18 |
B. |
4 + x + 18 |
| |
|
C. |
4 + 18x |
D. |
4x + 18 |
| |
|
Hint |
|
| |
2. |
In the figure, ABCD is a square. Which of the following is a valid conjecture about points A, B, C, and D? |
| |
|
 |
| |
|
A. |
AB = CD |
B. |
None of the statements are valid conjectures. |
| |
|
C. |
AB = BD |
D. |
AB + CD = 12 |
| |
|
Hint |
|
| |
3. |
In the figure, points A and B are on circle C and  Write the contra positive of the true conditional.
Conditional 1: If then is a right isosceles triangle. Conditional 2: If then divides the circle into two equal halves. |
| |
|
 |
| |
|
A. |
If does not divide the circle into two equal halves, then  |
| |
|
B. |
If is not a right isosceles triangle, then  |
| |
|
C. |
If is a right isosceles triangle, then  |
| |
|
D. |
If then does not divide the circle into two equal halves. |
| |
|
Hint |
|
| |
4. |
Complete the proof. |
| |
|
 |
| |
|
 |
| |
|
A. |
Addition Property (=) |
B. |
Substitution Property (=) |
| |
|
C. |
Transitive Property |
D. |
Angle Addition Property |
| |
|
Hint |
|
| |
5. |
Make a conjecture based on the following information. M is obtuse. |
| |
|
A. |
m M is not 180 |
B. |
M is straight |
| |
|
C. |
m M = 30 |
D. |
M is acute |
| |
|
Hint |
|
| |
6. |
Which cannot be used as a reason in a proof? |
| |
|
A. |
Algebra properties |
B. |
postulates |
| |
|
C. |
Definitions |
D. |
conjectures |
| |
|
Hint |
|
| |
7. |
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. |
State the theorem to be proved. |
| |
|
C. |
List the given information. |
| |
|
D. |
Assume what you are trying to prove is true. |
| |
|
Hint |
|
| |
8. |
Which statement is the inverse of the statement angles with the same measure are congruent? |
| |
|
A. |
If two angles are congruent, then they have the same measure. |
| |
|
B. |
If two angles are not congruent, then they do not have the same measure. |
| |
|
C. |
If two angles do not have the same measure, then they are not congruent. |
| |
|
D. |
If two angles have the same measure, then they are congruent. |
| |
|
Hint |
|
| |
9. |
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. |
42 |
B. |
21 |
| |
|
C. |
7 |
D. |
15 |
| |
|
Hint |
|
| |
10. |
If and form a linear pair and m = 72, find m . |
| |
|
 |
| |
|
A. |
18 |
B. |
72 |
| |
|
C. |
108 |
D. |
144 |
| |
|
Hint |
|
|