Question

biconditional statements rewrite the biconditional statement as a conditional statement and its converse. 23. a point is a midpoint of a segment if and only if it divides the segment into two congruent segments.

Explanation:

Step1: Define conditional statement

A conditional statement is of the form "if p then q". Here, let p be "A point is a mid - point of a segment" and q be "It divides the segment into two congruent segments". So the conditional statement is: If a point is a mid - point of a segment, then it divides the segment into two congruent segments.

Step2: Define converse statement

The converse of a conditional statement "if p then q" is "if q then p". So the converse is: If a point divides a segment into two congruent segments, then it is a mid - point of the segment.

Answer:

Conditional statement: If a point is a mid - point of a segment, then it divides the segment into two congruent segments.
Converse statement: If a point divides a segment into two congruent segments, then it is a mid - point of the segment.