Question

Holly wrote the statement Polygon RSTUV is regular if it has congruent sides and congruent angles.

Which statements are true regarding her work? Select three options.

The hypothesis of the statement is "it has congruent sides and congruent angles."
The conclusion of the statement is "Polygon RSTUV is regular."
An equivalent statement is "If polygon RSTUV has congruent sides, then it has congruent angles."
The statement cannot be proven true or false.
It is a conditional statement.

Answer 1

The true statements are:

- The hypothesis of the statement is "it has congruent sides and congruent angles."
- The conclusion of the statement is "Polygon RSTUV is regular."
- It is a conditional statement.

Brief justification: Holly's sentence is of the form "If [has congruent sides and congruent angles], then [is regular]," so that identifies the hypothesis and conclusion and shows it is a conditional. The option claiming an equivalent statement ("If polygon RSTUV has congruent sides, then it has congruent angles") is not equivalent (equal side lengths alone do not force equal angles for polygons in general). The claim that the statement cannot be proven true or false is incorrect — it is true by the definition of "regular polygon."