Question

write the inverse of the statement. if a ray bisects an angle, then it divides the angle into two congruent angles. if a ray does not select choice, then it does not select choice.

Explanation:

Step1: Recall inverse of a conditional

The inverse of a conditional statement "If \( p \), then \( q \)" is "If not \( p \), then not \( q \)".

Step2: Identify \( p \) and \( q \)

For the statement "If a ray bisects an angle, then it divides the angle into two congruent angles", \( p \) is "a ray bisects an angle" and \( q \) is "it divides the angle into two congruent angles".

Step3: Form the inverse

The inverse will be "If a ray does not bisect an angle, then it does not divide the angle into two congruent angles".

Answer:

If a ray does not bisect an angle, then it does not divide the angle into two congruent angles.