Question

biconditional statements rewrite the biconditional statement as a conditional statement and its converse. 21. a ray bisects an angle if and only if it divides the angle into two congruent angles.

Explanation:

Step1: Define conditional statement

A conditional statement is of the form "if p then q". Here, p is "A ray bisects an angle" and q is "It divides the angle into two congruent angles". So the conditional statement is: If a ray bisects an angle, then it divides the angle into two congruent angles.

Step2: Define converse statement

The converse of "if p then q" is "if q then p". So the converse is: If a ray divides an angle into two congruent angles, then it bisects the angle.

Answer:

Conditional statement: If a ray bisects an angle, then it divides the angle into two congruent angles.
Converse statement: If a ray divides an angle into two congruent angles, then it bisects the angle.