Question

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

Answer 1

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