Question

In quadrilateral ABCD, diagonals AC and BD bisect one another:

Answer 1

What statement is used to prove that quadrilateral ABCD is a parallelogram?

Segment AP is congruent to segment CP.

Segment BP is congruent to segment AP

Sides AB and BC are congruent.

Triangles BCP and CDP are congruent.

Answer 2

from the given statement, you can only directly prove that the segment bisected has congruent parts, by Definition of Bisecting
therefore

Answer 3

would it be " Segment BP is congruent to segment AP"?

Answer 4

@jigglypuff314

Answer 5

not quite :)

Answer 6

"Triangles BCP and CDP are congruent."?

Answer 7

from the given statement,
you can only directly prove that the segment bisected makes two congruent parts
so triangles are not involved...