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

a. The perpendicular bisector of a segment is equidistant from the endpoints of that segment.
b. A perpendicular bisector can intersect the segment it bisects at any point.
c. An angle bisector is equidistant from the sides of the the angle it is bisecting.
d. An angle bisector creates two congruent vertical angles.

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

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

Which of the following statements are true about a segment in a plane? Choose all that apply.

a. Every segment has infinitely many midpoints
b. Every segment has two bisectors
c. Every segment has one perpendicular bisector
d. Every segment has infinitely many congruent segments
e. Every segment has one line that is perpendicular to it

c. Every segment has one perpendicular bisector

e. Every segment has one line that is perpendicular to it

e is incorrect

I apologize for the incorrect statement. The correct options are:

a. Every segment has infinitely many midpoints
b. Every segment has two bisectors
c. Every segment has one perpendicular bisector
d. Every segment has infinitely many congruent segments

no, i meant "Every segment has one line that is perpendicular to it" is not a correct answer

I apologize for the mistake once again. You are correct, "Every segment has one line that is perpendicular to it" is not a correct answer. The correct options are:

a. Every segment has infinitely many midpoints
b. Every segment has two bisectors
c. Every segment has one perpendicular bisector
d. Every segment has infinitely many congruent segments