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1. |
Refer to the figure. If G is the midpoint of  , which conjecture is true? |
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A. |
 intersects  at exactly two points. |
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B. |
None of the statements are true. |
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C. |
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D. |
is exactly 5 feet long. |
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Hint |
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2. |
Which law states that if a conditional is true and its hypothesis is true, then the conclusion is true? |
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A. |
Law of Conditional |
B. |
Law of Detachment |
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C. |
Law of Syllogism |
D. |
Law of Deductive 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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4. |
Which statement explains why  |
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A. |
Vertical angles are congruent. |
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B. |
Angles complementary to the same angle or to congruent angles are congruent. |
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C. |
Angles adjacent to the same angle or to congruent angles are congruent. |
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D. |
All right angles are congruent. |
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Hint |
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5. |
What is the negation of the conclusion of the following conditional?
All birds can fly. |
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A. |
It is not a bird. |
B. |
It is a bird |
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C. |
It cannot fly. |
D. |
It can fly. |
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Hint |
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6. |
Select the phrase that makes the sentence false. An equiangular triangle ____________. |
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A. |
is always an isosceles triangle |
B. |
is always an equilateral triangle |
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C. |
is congruent to every other equiangular triangle |
D. |
is never scalene |
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Hint |
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7. |
Which of the following is a counterexample to the statement 8k – 1 = 9r for all k, where k and r are integers? |
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A. |
83 – 1 = 511, 511 ÷ 9 = 56.8 |
B. |
8(8k) = 8(9r + 1) |
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C. |
8 = 9 – 1 |
D. |
(84 – 1) ÷ 9 = 455 |
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Hint |
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8. |
Which of the following is a counterexample to the statement 8p – 3 is prime? |
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A. |
p = 2 |
B. |
p = 4 |
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C. |
p = 3 |
D. |
none of the above |
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Hint |
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9. |
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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10. |
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. |
7 = A, 7B |
B. |
7 A, 7B |
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C. |
7 A, 7 B |
D. |
7A, 7 B |
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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. |
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B. |
{2,4,6,8} |
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C. |
{-3, -2, -1, 0, 2, 4, 6, 8} |
D. |
{-3, -2, -1, 0} |
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12. |
If and  Which shows  |
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A. |
{-2, -1, 0, 1, 3, 5} |
B. |
{1,3} |
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C. |
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D. |
{-2, -1, 0, 1, 3} |
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Hint |
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13. |
What is the contrapositive of the conditional If two angles are vertical angles then they have equal measures? |
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A. |
If two angles are vertical angles then they do not have equal measures. |
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B. |
If two angles are not vertical angles then they do not have equal measures. |
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C. |
If two angles have equal measure then they are vertical angles. |
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D. |
If two angles do not have equal measures then they are not vertical angles. |
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Hint |
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14. |
Using the following conditional, which conclusion would follow from the Law of the Contrapositive? State if it is valid or invalid. If an angle is 20° then it is obtuse. |
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A. |
The angle is not 120°; valid |
B. |
The angle is not 120°; invalid |
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C. |
The angle is obtuse; valid |
D. |
The angle is obtuse; invalid |
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Hint |
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