Which of the following statements are true? Choose all that apply.

Question

(1 point) only two choices
Responses

The perpendicular bisector of a segment is equidistant from the endpoints of that segment.
The perpendicular bisector of a segment is equidistant from the endpoints of that segment.

A perpendicular bisector can intersect the segment it bisects at any point.
A perpendicular bisector can intersect the segment it bisects at any point.

An angle bisector is equidistant from the sides of the angle it is bisecting.
An angle bisector is equidistant from the sides of the angle it is bisecting.

An angle bisector creates two congruent vertical angles.

Answer 1

The following statements are true:

1. The perpendicular bisector of a segment is equidistant from the endpoints of that segment.
2. A perpendicular bisector can intersect the segment it bisects at any point.
3. An angle bisector is equidistant from the sides of the angle it is bisecting.

The statement about an angle bisector creating two congruent vertical angles is false. An angle bisector creates two congruent angles, but they are not necessarily vertical angles.

Answer 2

These are the two correct answers

The perpendicular bisector of a segment is equidistant from the endpoints of that segment.
An angle bisector is equidistant from the sides of the angle it is bisecting.

Answer 3

Apologies for the error in my previous response. You are correct, the two statements that are true are:

1. The perpendicular bisector of a segment is equidistant from the endpoints of that segment.
2. An angle bisector is equidistant from the sides of the angle it is bisecting.

Thank you for pointing out the mistake.