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1. |
Make a conjecture based on the following information. For points A, B, and C, AB = 2, BC = 3, and AC = 4. |
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A. |
A, B, and C form on equilateral triangle. |
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B. |
A, B, and C form a right triangle. |
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C. |
A, B, and C are noncollinear. |
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D. |
A, B, and C are collinear. |
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Hint |
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2. |
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 not get a good grade on the quiz. |
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B. |
He will get a good grade on the quiz. |
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C. |
Ralph may do his math homework. |
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D. |
Ralph does his math homework. |
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Hint |
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3. |
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 Detachment |
B. |
Law of Syllogism |
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C. |
Law of Deductive Reasoning |
D. |
Law of Conditional |
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Hint |
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4. |
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. |
detachment reasoning |
B. |
deductive reasoning |
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C. |
inductive reasoning |
D. |
reasonable doubt |
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Hint |
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5. |
Name the property of equality that justifies the following statement.
If CD = MN and CD = RS, then MN = RS. |
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A. |
Reflexive Property (=) |
B. |
Distributive Property (=) |
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C. |
Substitution Property (=) |
D. |
Symmetric Property (=) |
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Hint |
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6. |
Which of the following is not one of the five essential parts needed to construct a good proof? |
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A. |
If possible, draw a diagram to illustrate the given information. |
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B. |
Develop a system of inductive reasoning. |
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C. |
State the theorem to be proved. |
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D. |
List the given information. |
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Hint |
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7. |
For the proof shown, provide the reason for part c. |
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A. |
Addition Property of Equality |
B. |
Subtraction Property of Equality |
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C. |
Multiplication Property of Equality |
D. |
Division Property of Equality |
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Hint |
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8. |
Which statement explains why  |
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A. |
All right angles are congruent. |
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B. |
Vertical 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. |
Angles complementary to the same angle or to congruent angles are congruent. |
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Hint |
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9. |
To show that a conjecture is false, you need to provide one _____. |
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A. |
guess |
B. |
possibility |
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C. |
theorem |
D. |
counterexample |
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Hint |
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10. |
In order to find the contrapositive of a conditional, you must first find the _____ and then find the _____ of each part. |
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A. |
inverse, negation |
B. |
converse, negation |
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C. |
hypothesis, converse |
D. |
converse, inverse |
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Hint |
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11. |
Name the property that justifies the statement: ''2(x - 4) = 2x - 8''. |
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A. |
Distributive Property |
B. |
Reflexive Property (=) |
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C. |
Symmetric Property |
D. |
Transitive Property (=) |
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Hint |
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12. |
What three properties hold true for congruence of segments? |
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A. |
addition, subtraction, and multiplication |
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B. |
reflexive, multiplication, and division |
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C. |
reflexive, symmetric, and substitution |
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D. |
reflexive, symmetric, and transitive |
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Hint |
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13. |
A __________ is a compound statement formed by joining two or more statements with the word and. |
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A. |
negation |
B. |
disjunction |
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C. |
conjunction |
D. |
truth value |
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Hint |
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14. |
A __________ is a compound statement formed by joining two or more statements with the word or. |
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A. |
negation |
B. |
conjunction |
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C. |
truth value |
D. |
disjunction |
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Hint |
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15. |
Which of the following statements is not a postulate? |
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A. |
A plane contains at least three points not on the same line. |
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B. |
Through any two points, there is exactly one line. |
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C. |
If two lines intersect, then their intersection is exactly one point. |
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D. |
Points that lie of the same plane are said to be coplanar. |
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Hint |
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16. |
If  and  form a linear pair and m = 72, find m. |
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A. |
72 |
B. |
18 |
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C. |
144 |
D. |
108 |
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Hint |
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