Line CD is the perpendicular bisector of segment AB. The lines intersect at point E. Which of these statements is true?

A. E is closer to A.
B. E is closer to B
C. E is the same distance from A and B.
D. There is not enough information to be sure.​

Respuesta :

Answer:

C. E is the same distance from A and B.

Step-by-step explanation:

Line CD is a perpendicular that divides segment AB into two equal parts as it intersects segment AB at point E.

This divides AB into AE and EB.

Point E is the middle of A and B. Therefore, E will be the same distance from A and from B.

That is, AE = EB.

Therefore, the statement that is true is: C. E is the same distance from A and B.