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1. |
Daniel wants to send Jasmine flowers for her birthday. At the flower store, he can choose between roses, irises, or carnations. The salesperson tells Daniel that 50% of the customers buy roses, 30% buy carnations, and 20% buy irises. Which of the following is a valid conjecture? |
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A. |
Daniel will buy Jasmine irises. |
B. |
The salesperson likes carnations. |
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C. |
More customers buy roses than carnations. |
D. |
Jasmine will be excited to receive flowers for her birthday. |
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Hint |
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2. |
Determine the converse of the following if-then statement.
If the flowers are yellow, then they are daffodils. |
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A. |
The flowers are not daffodils. |
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B. |
If the flowers are daffodils, then they are yellow. |
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C. |
If the flowers are not yellow, then they are not daffodils. |
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D. |
The flowers are not yellow. |
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Hint |
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3. |
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. |
detachment reasoning |
D. |
deductive reasoning |
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Hint |
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4. |
Justify step 2 in solving  |
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A. |
Multiplication Property (=) |
B. |
Subtraction Property (=) |
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C. |
Distributive Property (=) |
D. |
Division Property (=) |
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Hint |
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5. |
Which statement explains why  |
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A. |
All right angles are congruent. |
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B. |
Angles adjacent to the same angle or to congruent angles are congruent. |
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C. |
Vertical 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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6. |
In the figure shown,  is complementary to  and is complementary to  . Which statement is true if none of the measures of the angles equal 45? |
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A. |
is complementary to itself. |
B. |
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C. |
is complementary to . |
D. |
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Hint |
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7. |
What three things are accepted as true without verification or proof? |
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A. |
theorems, postulates, and undefined terms |
B. |
definitions, theorems, and postulates |
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C. |
conclusions, hypotheses, and postulates |
D. |
definitions, postulates, and undefined terms. |
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Hint |
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8. |
A certain basketball team had 7 wins and 12 losses in a season. Which is a valid conjecture based on this information? |
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A. |
The team won their last 5 games. |
B. |
The team played 19 games.. |
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C. |
The team finished 5th in their conference. |
D. |
The team was undefeated. |
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Hint |
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9. |
What is a valid conclusion to the following hypothesis?
If there are two points... |
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A. |
There is one line containing both points. |
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B. |
There are no lines containing both points. |
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C. |
There are an infinite number of lines containing both points. |
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D. |
There are two lines containing both points. |
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Hint |
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10. |
Using the following true conditional and hypothesis, which statement would follow from the Law of Detachment?A square has four right angles. WXYZ is a square. |
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A. |
If WXYZ is not a square, then it has four right angles. |
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B. |
If WXYZ is not a square, then it does not have four right angles. |
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C. |
WXYZ has four right angles. |
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D. |
If WXYZ has four right angles, then it is a square. |
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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. |
Reflexive Property (=) |
B. |
Transitive Property (=) |
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C. |
Symmetric Property |
D. |
Distributive Property |
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Hint |
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12. |
For the proof shown, provide the reason for part b. |
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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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13. |
What three properties hold true for congruence of segments? |
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A. |
reflexive, symmetric, and substitution |
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B. |
reflexive, symmetric, and transitive |
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C. |
addition, subtraction, and multiplication |
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D. |
reflexive, multiplication, and division |
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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 and. |
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A. |
truth value |
B. |
negation |
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C. |
conjunction |
D. |
disjunction |
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Hint |
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15. |
A __________ is a compound statement formed by joining two or more statements with the word or. |
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A. |
truth value |
B. |
conjunction |
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C. |
disjunction |
D. |
negation |
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Hint |
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16. |
Which of the following statements is not a postulate? |
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Points that lie of the same plane are said to be coplanar. |
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B. |
A plane contains at least three points not on the same line. |
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C. |
Through any two points, there is exactly one line. |
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D. |
If two lines intersect, then their intersection is exactly one point. |
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Hint |
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