Question

select the statement that is the converse of the following statement:
if a ray cuts an angle into two smaller, congruent angles, then it is an angle bisector.

answer

if a ray is an angle
bisector, then it cuts an
angle into two smaller,
congruent angles.

if a ray isnt an angle
bisector, then it doesnt
cut an angle into two
smaller, congruent angles.

if a ray doesnt cut an
angle into two smaller,
congruent angles, then it
isnt an angle bisector.

if a ray cuts an angle into
two smaller, congruent
angles, then it isn’t an
angle bisector.

Explanation:

The converse of a conditional statement "If P, then Q" is "If Q, then P". For the given statement, P is "a ray cuts an angle into two smaller, congruent angles" and Q is "it is an angle bisector". Swapping P and Q gives the converse.

Answer:

A. If a ray is an angle bisector, then it cuts an angle into two smaller, congruent angles.