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1. |
Find the number of different segments formed by 8 collinear points. |
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A. |
21 |
B. |
36 |
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C. |
27 |
D. |
28 |
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Hint |
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2. |
Which statement follows from (1) and (2) by the Law of Syllogism? (1) If two angles form a linear pair, then they are supplementary. (2) If two angles are supplementary, then the sum of their measures is 180. |
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A. |
A linear pair is formed by supplementary angles. |
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B. |
The sum of the measures of the angles in a linear pair is 180. |
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C. |
The measures of supplementary angles add up to 180. |
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D. |
Supplementary angles form a linear pair. |
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Hint |
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3. |
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. |
WXYZ 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. |
If WXYZ is not a square, then it has four right angles. |
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Hint |
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4. |
''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. |
If you double an odd number, the result is another odd number. |
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B. |
The result of doubling 234 is an odd number. |
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C. |
The result of doubling 317 is an even number. |
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D. |
When you triple a number, the result must be an even number. |
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Hint |
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5. |
''If two angles are vertical, then they are congruent.'' is a true conditional, and  1 and 2 are vertical. Which is not true based on the Law of Detachment? |
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A. |
1 and 2 are not congruent. |
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B. |
1 and 2 both have a measure of 45. |
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C. |
Both1 and 2 are obtuse. |
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D. |
1 and 2 are congruent. |
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Hint |
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