What are the missing reasons in the proof?

Given: parallelogram upper A upper B upper C upper D with diagonal modifying above upper B upper D with bar
Prove: triangle upper A upper B upper D congruent to triangle upper C upper D upper B

Parallelogram upper A upper B upper C upper D is shown with diagonal segment upper B upper D drawn.

1 answer

The missing reasons in the proof are:

1. Opposite sides of a parallelogram are congruent.
2. The opposite angles of a parallelogram are congruent.
3. Diagonal BD divides parallelogram ABCD into two congruent triangles.
4. Triangle ABD is congruent to triangle CBD by Side-Angle-Side congruence.
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