In quadrilateral ABCD, diagonals AC and BD bisect one another: What statement is used to prove that quadrilateral ABCD is a para

Question

3 years ago

11

In quadrilateral ABCD, diagonals AC and BD bisect one another: What statement is used to prove that quadrilateral ABCD is a para

llelogram?
A) Segment AP is congruent to segment CP.

B) Segment BP is congruent to segment AP

C) Sides AB and BC are congruent.

D) Triangles BCP and CDP are congruent.

Mathematics

2 answers:

juin [17] · Answer 1 · 2022-05-16T03:51:35+03:00

juin [17]3 years ago

6 0

Statement B is true only for a square. Statements C and D are true only for a square and a rhombus but we want to prove that quadrilateral ABCD is a parallelogram.
Answer: A ) Segment AP is congruent to segment CP.

Llana [10] · Answer 2 · 2022-05-16T02:16:07+03:00

The <u>correct answer</u> is:

A) AP is congruent to CP.

Explanation:

The only information we are given is that the diagonals AC and BD bisect each other at some unknown point. This means that the distance from A to this point is the same as the distance from this point to C; this gives us AP congruent to CP.