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1. |
Determine the contrapositive of the following if-then statement. If three points are noncollinear, then they form a triangle. |
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A. |
If three points do not form a triangle, then they are noncollinear. |
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B. |
If three points form a triangle, then they are noncollinear. |
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C. |
If three points are not noncollinear, then they do not form a triangle. |
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D. |
If three points do not form a triangle, then they are not noncollinear. |
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Hint |
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2. |
In the figure, points A and B are on circle C and  Write the contra positive of the true conditional.
Conditional 1: If then is a right isosceles triangle. Conditional 2: If then divides the circle into two equal halves. |
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A. |
If is not a right isosceles triangle, then  |
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B. |
If is a right isosceles triangle, then  |
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C. |
If does not divide the circle into two equal halves, then  |
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D. |
If then does not divide the circle into two equal halves. |
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Hint |
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3. |
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. |
converse, negation |
B. |
hypothesis, converse |
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C. |
inverse, negation |
D. |
converse, inverse |
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Hint |
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4. |
What is a valid conclusion to the following hypothesis? If there are two points... |
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A. |
There are two lines containing both points. |
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B. |
There are an infinite number of lines containing both points. |
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C. |
There are no lines containing both points. |
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D. |
There is one line containing both points. |
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Hint |
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5. |
Write the contrapositive of the statement a right angle measures 90 degrees. |
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A. |
If an angle measures 90 degrees, then it is a right angle. |
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B. |
If an angle does not measure 90 degrees, then it is not a right angle. |
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C. |
If an angle is not a right angle, then its measure is not 90 degrees. |
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D. |
If an angle is a right angle, then it measures 90 degrees. |
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Hint |
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