Select the choice that indicates AB←→ is the perpendicular bisector of CD←→ if they intersect at P .(1 point)

Question

Responses

AP¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯
Modifying above upper A upper P with bar congruent to Modifying above upper B upper P with bar

AC¯¯¯¯¯¯¯¯⊥BD¯¯¯¯¯¯¯¯ and AP¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯
Modifying above upper A upper C with bar perpendicular to Modifying above upper B upper D with bar and Modifying above upper A upper P with bar congruent to Modifying above upper B upper P with bar

CD¯¯¯¯¯¯¯¯⊥AB¯¯¯¯¯¯¯¯
Modifying above upper C upper D with bar perpendicular to Modifying above upper A upper B with bar

AB¯¯¯¯¯¯¯¯⊥CD¯¯¯¯¯¯¯¯ and CP¯¯¯¯¯¯¯¯≅DP¯¯¯¯¯¯¯¯

Answer 1

The choice that indicates \( AB \perp CD \) and that \( AB \) is the perpendicular bisector of \( CD \) if they intersect at point \( P \) is:

AP̅̅̅̅̅̅≅BP̅̅̅̅̅̅ and CP̅̅̅̅̅̅≅DP̅̅̅̅̅̅

This indicates that \( AB \) is perpendicular to \( CD \) and that \( P \) is the midpoint of \( CD \), which is the definition of a perpendicular bisector.

So the correct response is:

AB̅̅̅̅̅̅⊥CD̅̅̅̅̅̅ and CP̅̅̅̅̅̅≅DP̅̅̅̅̅̅