Question

I am somewhat confused with this question, and I need explanation on what the answer is. Does anybody know and is in order to help me with it?

Answer 1

A.

Explanation:

For two lines to be congruent, they must be the same length. In this case, one line is shorter than the other, therefore AP cannot be congruent to PB.

HOPE THIS HELPS :)

Answer 2

AP is not congruent to PB

Explanation:

If CP were a perpendicular bisector of AB, a couple of conditions would be true:

• CP would be perpendicular to AB (which it is)
• CP would bisect AB (which it does not)

If CP were to bisect AB, then point P would be the midpoint of AB, and you would have AP ≅ PB. Segments marked congruent in the diagram would include both AP and PB. (If CP were also perpendicular to AB, then C would be equidistant from A and B.)

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The fact that CP is congruent to PB has no meaning in this context. It is only marked that way for the purpose of creating confusion.