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1. |
Looking at several specific situations to arrive at an educated guess is called __________. |
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A. |
a conjecture |
B. |
deductive reasoning |
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C. |
inductive reasoning |
D. |
guessing |
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Hint |
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2. |
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. |
deductive reasoning |
B. |
inductive reasoning |
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C. |
reasonable doubt |
D. |
detachment reasoning |
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Hint |
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3. |
Find the number of different segments formed by 8 collinear points. |
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A. |
36 |
B. |
28 |
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C. |
27 |
D. |
21 |
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Hint |
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4. |
Which statement explains why  |
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A. |
All right angles are congruent. |
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B. |
If the sum of the measures of two angles is 180, then they are supplementary. |
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C. |
Angles supplementary to the same angle are congruent. |
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D. |
If two angles form a linear pair, then they are supplementary. |
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Hint |
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5. |
Two angles are congruent if they are ______. |
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A. |
a linear pair |
B. |
vertical |
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C. |
adjacent |
D. |
supplementary |
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Hint |
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6. |
A counterexample disproves a conditional when ________ . |
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A. |
the hypothesis is false and there is no valid conclusion |
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B. |
the hypothesis is false and the conclusion is false |
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C. |
the hypothesis is true and the conclusion is true |
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D. |
the hypothesis is true and the conclusion is false |
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Hint |
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7. |
Which of the following is a counterexample to the statement 8p – 3 is prime? |
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A. |
p = 2 |
B. |
p = 3 |
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C. |
p = 4 |
D. |
none of the above |
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Hint |
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8. |
Which set notation means that 4 is an element of {3,4,5,6}? |
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A. |
4 {3,4,5,6} |
B. |
4 {3,4,5,6} |
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C. |
4 {3,4,5,6} |
D. |
4 {3,4,5,6} |
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Hint |
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9. |
If A={5,6,7,8} and B ={8,9}, what set notation means that 7 belongs to set A but not set B? |
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A. |
7A, 7 B |
B. |
7 A, 7 B |
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C. |
7 A, 7B |
D. |
7 = A, 7B |
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Hint |
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10. |
If A={0,1,2,3,4}, B={2,4,6,8} and C= {-3, -2, -1, 0}, find  |
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A. |
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B. |
{2,4,6,8} |
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C. |
{-3, -2, -1, 0} |
D. |
{-3, -2, -1, 0, 2, 4, 6, 8} |
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Hint |
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11. |
If A= {0,1,2,3,4}, B={2,4,6,8} and C= {-3, -2, -1, 0}, find  |
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A. |
{-3, -2, -1, 0, 2, 4, 6, 8} |
B. |
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C. |
{-3, -2, -1, 0 ,1, 2, 3, 4} |
D. |
{0} |
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Hint |
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12. |
What is the converse of the conditional If two angles are vertical angles then they have equal measures? |
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A. |
If two angles have equal measure then they are vertical angles. |
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B. |
If two angles do not have equal measures then they are not vertical angles. |
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C. |
If two angles are not vertical angles then they do not have equal measures. |
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D. |
If two angles are vertical angles then they do not have equal measures. |
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Hint |
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13. |
What is the inverse of the conditional If it is September, then there are 30 days in the month? |
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A. |
If there are 30 day in the month, then it is September. |
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B. |
If there are not 30 days in the month, then it is not September. |
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C. |
If it is September then there are not 30 days in the month. |
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D. |
If it is not September then there are not 30 days in the month. |
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Hint |
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14. |
Using the following conditional, which conclusion would follow from the Law of the Contrapositive? If a figure is a triangle, then the sum of the angles is 180°. |
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A. |
The figure is a triangle. |
B. |
The sum of the angles is not 180°. |
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C. |
The sum of the angles is 180°. |
D. |
The figure is not a triangle. |
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Hint |
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