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

Question

• OCD L AB
• AP ~ BP
• AC 1 BD and AP ~ BP
• AB 1 CD and CP ~ DP

GPT-4o mini · Answer

The choice that indicates that $ AB $ is the perpendicular bisector of $ CD $ at the point of intersection $ P $ is: **• AB ⊥ CD and CP ≅ DP** This option signifies that line $ AB $ is perpendicular to line $ CD $ (denoted by $ AB ⊥ CD $), and it also states that segments $ CP $ and $ DP $ are congruent (denoted by $ CP ≅ DP $), which is the definition of a perpendicular bisector. Please choose the correct format for "CP ≅ DP" according to your context, as it might be represented differently in your materials.