Question

If you prove that △ABD is congruent to △CDB, which general statement best describes what you have proved?

Given: Opposite Sides Of Quadrilateral ABCD Are Parallel
A: Opposite sides of a parallelogram are congruent
B: The diagonal of a parallelogram connects two non-consecutive vertices
C: Diagonals of a parallelogram are congruent
D: Diagonals of a parallelogram bisect each other

Answer 1

A: Opposite sides of a parallelogram are congruent

Explanation:

The only diagonal involved is BD, so none of the statements regrading diagonals has been proven. The only thing proven is ...

AB ≅ CD . . . . opposite sides are congruent

AD ≅ CB . . . . opposite sides are congruent