Question

a statement is given: \if a ray is a bisector of an angle, then it splits the angle into two angles.\ which of the following is the converse of this statement? if a ray does not split an angle into two angles, then it is not a bisector of the angle. if a ray is not a bisector of an angle, then it does not split the angle into two angles. if a ray splits an angle into two angles, then it is a bisector of the angle. if a ray is not a bisector of an angle, then it splits the angle into two angles.

Explanation:

The converse of a conditional statement "If p, then q" is "If q, then p". Here, p is "a ray is a bisector of an angle" and q is "it splits the angle into two angles". So the converse is formed by switching the hypothesis and conclusion.

Answer:

If a ray splits an angle into two angles, then it is a bisector of the angle.