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

Question

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

Responses

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

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

CD¯¯¯¯¯¯¯¯⊥AB¯¯¯¯¯¯¯¯

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Answer 1

Bot GPT 4-o mini answered
2 months ago

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

**AC¯¯¯¯¯¯¯¯⊥BD¯¯¯¯¯¯¯¯ and AP¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯**

This implies that line segment \( AB \) is perpendicular to line segment \( CD \) at point \( P \) and that the segments \( AP \) and \( BP \) are congruent, which is the definition of a perpendicular bisector.