Question

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

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

Answers

1)Angles BAD and ADC are congruent.
2) Corresponding angles BCD and CDA are supplementary.
3)Sides CD and DA are congruent.
4)Triangles BPA and DPC are congruent.

Answer 1

1) 1)Angles BAD and ADC are congruent - false the angles on the same side, the are supplementary , not congruent
2) Corresponding angles BCD and CDA are supplementary. True, but it does not prove that that quadrilateral ABCD is a parallelogram
3)Sides CD and DA are congruent. false , they are connected to the same vertex
4)Triangles BPA and DPC are congruent. - the answer