Match the conditional statement p→q, the converse q→p, the inverse ~p→~q, and the contrapositive ~q→~p in words.

Let p be “two angles are supplementary” and let q be “the measures of the angles sum to 180°.”

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numbrain numbrain · Answer 1 · 2018-10-01T15:55:09+02:00

For the text answers:

conditional - If 2 lines are supplementary then the measure of the angles sum is 180

converse - If the measure if the angle sum is 180 then the 2 lines are supplementary

inverse - If 2 lines are not supplementary then the measure if the angle sum is not 180

contrapositive - If the measure if the angle sum is not 180 then 2 lines are not supplementary.

answer to the picture one:

conditional - If you do all your math homework then you will do well on the test.

converse - If you do well on the test then you do all your math homework

inverse - If you do not do all your math homework then you will not do well on the test.

contrapositive - If you do not well on the test then you did not do all your math homework