Select the choice that indicates line passing through AB is the perpendicular bisector of a line passing through CD if they intersect at P.

Question

Select the choice that indicates line passing through AB is the perpendicular bisector of a line passing through CD if they intersect at P.
A. line segment AB ⊥ line segment CD and line segment CP ≅ line segment DP 
B. line segment AP ≅ line segment BP 
C. line segment CD ⊥ line segment AB 
D. line segment AC ⊥ line segment BD and line segment AP ≅ line segment BP

GPT-4o mini · Answer

The correct choice that indicates that the line passing through AB is the perpendicular bisector of the line passing through CD, given that they intersect at point P, is:

B. line segment AP ≅ line segment BP

This choice indicates that segment AP is congruent to segment BP, which is a requirement for line AB to be the perpendicular bisector of line CD. When segment AB bisects segment CD at point P, it indicates that point P is the midpoint of line segment CD, while also being perpendicular to it.