Question

identify the converse, inverse, and contrapositive of the following conditional statement. \if a ray divides an angle into two congruent angles, then the ray is an angle bisector.\ converse: if a ray is an angle bisector, then the ray divides an angle into two congruent angles. inverse: if a ray does not divide an angle into two congruent angles, then the ray is not an angle bisector. contrapositive: if a ray is not an angle bisector, then the ray does not divide an angle into two congruent angles. if a ray divides an angle into two congruent angles, then the ray is an angle bisector

Explanation:

The converse of a conditional statement "if p then q" is "if q then p". The inverse is "if not p then not q". The contrapositive is "if not q then not p". For the statement "If a ray divides an angle into two congruent angles, then the ray is an angle - bisector", where p is "a ray divides an angle into two congruent angles" and q is "the ray is an angle - bisector", we apply these definitions.

Answer:

Converse: If a ray is an angle bisector, then the ray divides an angle into two congruent angles.
Inverse: If a ray does not divide an angle into two congruent angles, then the ray is not an angle bisector.
Contrapositive: If a ray is not an angle bisector, then the ray does not divide an angle into two congruent angles.