Last updated: 7/19/2022
What is the converse of the conditional statement, "If two angles are congruent, then they have the same measure"? A. If two angles are not congruent, then they do not have the same measure. B. If two angles have the same measure, then they are congruent. C. If two angles do not have the same measure, then they are not congruent. D. If two angles have the same measure, then they are not congruent.
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Text Solution
Solution : Converse: If two angles have the same measure, then they are congurent. <br> Inverse : IF two angles are not congurent, then they do not have the same measure. <br> Contrapositive : If two angles do not have the same measure, then they are not congurent.
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Answer with Step-by-step explanation:
Given:
Conditional Statement (If p, then q):
- If two angles are congruent then they have the same measure.
Where:
- p (hypothesis) : two angles are congruent
- q (conclusion): they have the same measure.
Converse (If q, then p):
- If they have the same measure, then the two angles are congruent.
Inverse (If not p, then not q):
- If two angles are not congruent, they they don't have the same measure.
Contrapositive (If not q, then not p):
- If they don't have the same measure, then the two angles are not congruent.