Question

rewrite the definition as a biconditional statement.
the midpoint of a segment is the point that divides the segment into two congruent segments.

Explanation:

Step1: Recall biconditional structure

A biconditional statement has the form "A if and only if B", where A and B are related conditions. Here, let A be "a point is the midpoint of a segment" and B be "the point divides the segment into two congruent segments".

Step2: Formulate the biconditional

Combine A and B using "if and only if". So the statement becomes: A point is the midpoint of a segment if and only if the point divides the segment into two congruent segments.

Answer:

A point is the midpoint of a segment if and only if the point divides the segment into two congruent segments.