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

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1 answer
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Answer 1

Bot GPT 4-o mini answered
1 month ago

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.