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1. |
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. |
deductive reasoning |
B. |
reasonable doubt |
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C. |
detachment reasoning |
D. |
inductive reasoning |
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Hint |
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2. |
Which statement follows from statements (1) and (2) by the Law of Syllogism? (1) If an object is a square, then it is a rhombus.
(2) If an object is a rhombus, then it is an equilateral. |
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A. |
If an object is a square, then it is an equilateral. |
B. |
An object is a rhombus. |
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C. |
If an object is an equilateral, then it is a square. |
D. |
An object is a square. |
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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. |
28 |
B. |
21 |
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C. |
27 |
D. |
36 |
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Hint |
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4. |
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 has four right angles, then it is a square. |
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B. |
If WXYZ is not a square, then it does not have four right angles. |
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C. |
If WXYZ is not a square, then it has four right angles. |
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D. |
WXYZ has four right angles. |
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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. |
Both1 and 2 are obtuse. |
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C. |
1 and 2 are congruent. |
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D. |
1 and 2 both have a measure of 45. |
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Hint |
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