Question

2 minutes left, quick question:

For the set of conditions below, does quadrilateral abcd have to be a parallelogram?
AB = CD and angle DAB is = to angle BCD
I'll make this 58 points because i am desperate

Answer 1

No

Explanation

Drawing quadrilateral ABCD (in picture), I tried to prove that the triangles ABD CDB were congruent, proving that the quadrilateral was a parallelogram, however, with the terms you just described, it is impossible prove that the triangles were congruent as SSA is not a valid congruence postulate. Therefore, ABCD does not have to be a parallelogram.