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1. |
A ______________ is a logical argument in which each statement is backed up by a statement that is accepted as true. |
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A. |
theorem |
B. |
proof |
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C. |
definition |
D. |
postulate |
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Hint |
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2. |
Marita always listens to her favorite radio station, an oldies station, when she drives her car. Every morning she listens to her radio on the way to school. On Monday, she turns on her car radio and it is playing country music. Which of the following is a valid conjecture for why her radio is playing different music? |
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A. |
All statements are valid conjectures. |
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B. |
Her favorite station has changed their morning program to include country music. |
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C. |
A country music station bought out her favorite music station over the weekend. |
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D. |
Someone used her car during the weekend and changed the station. |
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Hint |
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3. |
Complete the proof. |
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A. |
Angle Addition Property |
B. |
Substitution Property (=) |
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C. |
Addition Property (=) |
D. |
Transitive Property |
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Hint |
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4. |
If and form a linear pair and find  |
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A. |
96 |
B. |
106 |
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C. |
76 |
D. |
86 |
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Hint |
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5. |
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. |
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B. |
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C. |
is complementary to itself. |
D. |
is complementary to . |
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Hint |
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6. |
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 played 19 games.. |
B. |
The team won their last 5 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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7. |
What is a valid conclusion to the following hypothesis? If there are two points... |
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A. |
There are an infinite number of lines containing both points. |
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B. |
There is one line containing both points. |
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C. |
There are two lines containing both points. |
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D. |
There are no lines containing both points. |
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Hint |
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8. |
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 has four right angles, then it is a square. |
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C. |
If WXYZ is not a square, then it does not have four right angles. |
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D. |
WXYZ has four right angles. |
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Hint |
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9. |
''If you double any number, the result will be an even number.'' is a true conditional. Use the Law of Detachment to reach a logical conclusion. |
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A. |
When you triple a number, the result must be an even number. |
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B. |
The result of doubling 317 is an even number. |
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C. |
The result of doubling 234 is an odd number. |
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D. |
If you double an odd number, the result is another odd number. |
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Hint |
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10. |
Which cannot be used as a reason in a proof? |
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A. |
postulates |
B. |
conjectures |
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C. |
Definitions |
D. |
Algebra properties |
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Hint |
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11. |
For the proof shown, provide the reason for part b. |
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A. |
Definition of congruent segments |
B. |
Definition of Addition |
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C. |
Definition of a line |
D. |
Symmetric Property (=) |
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Hint |
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12. |
For the proof shown, provide statement 3. |
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A. |
AB = CD |
B. |
AB = EF |
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C. |
AB = BA |
D. |
CD = EF |
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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. |
conjunction |
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C. |
disjunction |
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. |
disjunction |
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C. |
truth value |
D. |
conjunction |
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Hint |
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15. |
Write the contrapositive of the statement a right angle measures 90 degrees. |
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A. |
If an angle is not a right angle, then its measure is not 90 degrees. |
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B. |
If an angle is a right angle, then it measures 90 degrees. |
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C. |
If an angle measures 90 degrees, then it is a right angle. |
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D. |
If an angle does not measure 90 degrees, then it is not a right angle. |
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Hint |
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16. |
If and lie in plane P. Which of the following postulates can be used to show that lies in plane P? |
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A. |
If two points lie in a plane, then the entire line containing those points lies in that plane. |
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B. |
A plane contains at least three points not on the same line. |
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C. |
If two planes intersect, then their intersection is a line. |
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D. |
Through any two points, there is exactly one line. |
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Hint |
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