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1. |
Find RT for R(-2, 5) and T(-3, -6). Round to the nearest tenth. |
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A. |
9.8 |
B. |
8.5 |
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C. |
11.0 |
D. |
10.6 |
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Hint |
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2. |
In the figure,  bisects  at V. Find the measure of if VZ=4a+3 and VW=15-2a. |
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A. |
12 |
B. |
28 |
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C. |
24 |
D. |
22 |
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Hint |
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3. |
If  and  is a right angle, what is the measure of  |
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A. |
145 |
B. |
130 |
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C. |
135 |
D. |
125 |
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Hint |
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4. |
Looking at several specific situations to arrive at an educated guess is called __________. |
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A. |
guessing |
B. |
deductive reasoning |
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C. |
inductive reasoning |
D. |
a conjecture |
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Hint |
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5. |
Identify the hypothesis of the following if-then statement.
If Ralph does his math homework, then he will get a good grade on the quiz. |
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A. |
He will get a good grade on the quiz. |
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B. |
Ralph may do his math homework. |
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C. |
He will not get a good grade on the quiz. |
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D. |
Ralph does his math homework. |
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Hint |
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6. |
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. |
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A. |
If is a right isosceles triangle, then  |
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B. |
If does not divide the circle into two equal halves, then  |
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C. |
If  then does not divide the circle into two equal halves. |
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D. |
If is not a right isosceles triangle, then  |
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Hint |
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7. |
The Law of Detachment and other laws of logic can be used to provide a system for reaching logical conclusions, called _____________. |
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A. |
inductive reasoning |
B. |
reasonable doubt |
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C. |
deductive reasoning |
D. |
detachment reasoning |
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Hint |
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8. |
Which segment does not have a measure of 5? |
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A. |
 |
B. |
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C. |
 |
D. |
 |
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Hint |
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9. |
Find x if Q is the midpoint of  PQ = 19, and PR = 8x + 14. |
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A. |
 |
B. |
3 |
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C. |
14 |
D. |
7 |
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Hint |
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10. |
Name a point on the interior of  BGD. |
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A. |
C |
B. |
G |
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C. |
D |
D. |
A |
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Hint |
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11. |
An angle is double its complement. Find the angle. |
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A. |
45 |
B. |
60 |
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C. |
30 |
D. |
90 |
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Hint |
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12. |
If two angles form a linear pair, they are _______. |
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A. |
complementary |
B. |
vertical |
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C. |
congruent |
D. |
supplementary |
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Hint |
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13. |
Which law is similar to the Transitive Property? |
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A. |
Law of Detachment |
B. |
Law of Deductive Reasoning |
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C. |
Law of Syllogism |
D. |
Law of Conditional |
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Hint |
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14. |
Which cannot be used as a reason in a proof? |
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A. |
Algebra properties |
B. |
conjectures |
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C. |
postulates |
D. |
Definitions |
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Hint |
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15. |
For the proof shown, provide the reason for part d. |
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A. |
Symmetric Property (=) |
B. |
Definition of congruent segments |
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C. |
Definition of Addition |
D. |
Definition of a line |
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Hint |
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16. |
In the picture,  and  are vertical. If  then what is  |
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A. |
28 |
B. |
90 |
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C. |
162 |
D. |
81 |
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Hint |
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17. |
Find AC. |
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A. |
5.0 cm |
B. |
4.9 cm |
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C. |
3.5 cm |
D. |
1.5 cm |
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Hint |
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18. |
Find the perimeter of  with vertices A(4, 6), B(4, -3), and C(-4, -3). |
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A. |
72 units |
B. |
29 units |
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C. |
11 units |
D. |
12 units |
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Hint |
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19. |
Find the perimeter of  with vertices D(2, -2), E(-5, 1), and F(0, 6). |
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A. |
23.0 units |
B. |
14.2 units |
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C. |
11.5 units |
D. |
57.4 units |
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Hint |
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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? |
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A. |
15 |
B. |
21 |
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C. |
42 |
D. |
7 |
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Hint |
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