
Antonia E.
asked 07/08/19Given: ABCD is a quadrilateral, Segment AB is congruent to Segment CD, <1 is congruent to <2 Prove: ABCD is a parallelogram
1 Expert Answer

Patrick B. answered 07/08/19
Math and computer tutor/teacher
In a nutshell...
If angle 1 and angle 2 are adjacent then their adjacent sides are parallel. The diagonal through 1 will get the other two angles congruent per alternate interior.
If angle 1 and angle 2 are across from each other then the diagonal will produce two congruent triangles by ASA.
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Thien D.
Do you mind clarifying which angle 1 and 2 refer to in terms of the letters?07/08/19