Question

if you could give me the answer without explanation because im on a tight schedule i would love to leave a good reveiw thanks!

Answer 1

We have to prove that ABDC is a parallelogram.

3) The third step is the reflexive property, where BD = BD (equal to itself). This let us to the following step, where we state that the 2 triangles are congruent.

4) Triangle ABD is congruent to triangle CBD, by the SSS postulate.

5) <1 = <3, as they are alternate interior angles between parallels.

6) <2 = <4, as they are alternate interior angles between parallels.

7) AB || CD

8) AD || BC

9) ABCD is a parallelogram as its opposite sides are congruent.