Select the choice that indicates AB←→ is the perpendicular bisector of CD←→ if they intersect at P.(1 point) 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 AB¯¯¯¯¯¯¯¯⊥CD¯¯¯¯¯¯¯¯ and CP¯¯¯¯¯¯¯¯≅DP¯¯¯¯¯¯¯¯ Modifying above upper A upper B with bar perpendicular to Modifying above upper C upper D with bar and Modifying above upper C upper P with bar congruent to Modifying above upper D upper P with bar CD¯¯¯¯¯¯¯¯⊥AB¯¯¯¯¯¯¯¯

Answer 1

To determine whether \( AB \) is the perpendicular bisector of \( CD \) and they intersect at point \( P \), we need to analyze the conditions for \( AB \) to be a perpendicular bisector of \( CD \).

The characteristics of a perpendicular bisector state that:

1. It must be perpendicular to the segment it bisects, meaning \( AB \perp CD \).
2. It must bisect the segment, meaning the lengths \( CP \) and \( DP \) must be equal (i.e., \( CP \cong DP \)).

Based on these conditions, the correct response indicating that \( AB \) is the perpendicular bisector of \( CD \) when they intersect at \( P \) should be:

• \( AB \perp CD \) and \( CP \cong DP \).

So the most fitting response from the options provided would be: AB⊥CD and CP≅DP