Question

3 select the correct answer. statement 1: a closed figure is a regular octagon if and only if it has exactly 8 congruent sides. statement 2: a closed figure is not a regular octagon if and only if it does not have exactly 8 congruent sides. how is statement 2 related to statement 1? a. statement 2 is the biconditional of statement 1. b. statement 2 is the contrapositive of statement 1. c. statement 2 is the converse of statement 1. d. statement 2 is the inverse of statement 1.

Explanation:

A biconditional statement is of the form "p if and only if q". The inverse of a biconditional "p if and only if q" is "not p if and only if not q". Here, statement 1 is a biconditional about a closed - figure being a regular octagon and having 8 congruent sides. Statement 2 negates both parts of statement 1.

Answer:

D. Statement 2 is the inverse of statement 1.