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

Conditional and Converse

Answer 2

Conditional and Converse.

Explanation:

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

We can say that;

Hypothesis is : If a polygon is regular

Conclusion is : then it has congruent angles and congruent sides.

A conditional statement will not be true when the hypothesis is true but the conclusion is false. In the given statement, the above conditional statement has a truth value of true.

We can write the converse statement as : If it has congruent angles and congruent sides, then the polygon is regular.

This also has a truth value of true.

So, correct options are :

Conditional and converse