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For the given conditional statement, determine which of the following option(s) has a truth value of true. Select all that apply.

If a polygon is regular, then it has congruent angles and congruent sides
conditional
converse
inverse
contrapositive

2 Answers

5 votes

Answer:

Conditional and Converse

Explanation:

User Mgarman
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If a polygon is regular, then it has congruent angles and congruent sides

hypothesis: If a polygon is regular
conclusion: then it has congruent angles and congruent sides.

A conditional statement will have a false value if the hypothesis is true but the conclusion is false. In this case, the above conditional statement has a truth value of true.

Its converse statement also has a truth value of true. The converse statement is this: If it has congruent angles and congruent sides, then the polygon is regular.

Its inverse statement also has a truth value of true. The inverse statement is this: If the polygon is not regular, then it does not have a congruent angles and congruent sides.

Its contrapositive statement has a truth value of true. The contrapositive statement is this: If it does not have congruent angles and congruent sides, then the polygon is not regular.

I used this format:
Statement If p , then q.
Converse If q , then p.
Inverse If not p , then not q.
Contrapositive If not q , then not p
User Jfrumar
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