Question

Holly wrote the statement polygon RSTUV is regular if it has congruent sides and congruent angles which statements are true regarding her work check all that apply

Answer 1

The first, second, fourth, and fifth statements are true. The third statement is false because polygons can have congruent sides but noncongruent angles, and this is easiest to exemplify using a rhombus, a four-sided figure with identical side lengths but different angle measures.

Answer 2

The correct answers are:

The hypothesis of this statement is “if it has congruent sides and congruent angles” ;

The conclusion of this statement is “polygon RSTUV is regular” ;

This statement can be proven true or false ; and

It is a conditional statement.

Explanation:

This is a conditional statement, as it is an if-then statement.

The part that comes after "if" is the hypothesis; this makes the hypothesis "if it has congruent sides and congruent angles.”

The part that comes after "then" is the conclusion. While there is no "then" in this statement, it is understood to be before “polygon RSTUV is regular.”

This is a statement that can be proven to be either true or false, using properties, definitions, theorems, postulates and/or counterexamples.