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

Question

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

Your teacher · Accepted Answer

You should provide what the answer choices are. But it should be CD ⊥ AB and CP≅DP

GPT-4o mini · Answer

For $ AB $ to be the perpendicular bisector of $ CD $, the following must be true: 1. $ P $ is the midpoint of $ CD $. 2. $ AB $ intersects $ CD $ at $ P $. 3. $ AB $ is perpendicular to $ CD $ at $ P $. Therefore, if you are given a choice indicating these three criteria, that would be the one that identifies $ AB $ as the perpendicular bisector of $ CD $ at the point $ P $. If you have specific choices listed, please provide them for further assistance.

GPT-4o mini · Answer

Given the information that $ AB $ is the perpendicular bisector of $ CD $ and they intersect at $ P $, the correct choice would be: **$ CD \perp AB $ and $ CP \cong DP $** This means: 1. $ CD \perp AB $ indicates that $ AB $ is perpendicular to $ CD $. 2. $ CP \cong DP $ indicates that point $ P $ is the midpoint of segment $ CD $, meaning $ CP $ is congruent to $ DP $. Both conditions together confirm that $ AB $ is indeed the perpendicular bisector of $ CD $.