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2) Two parallelograms ABCD and DCEF are put together along their common side CD. Prove that the quadrilateral ABEF is also a parallelogram.

BTW it was number 2 in this link and was unanswered https://web2.0calc.com/questions/geometry-help_100

 Apr 1, 2020
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In parallelogram ABCD,  AB = CD  and  AB || CD.

In parallelogram CDFE,  DC = FE  and  DC || FE.

Therefore,  AB = FE  and  AB || EF.

Since a pair of sides of quadrilater ABEF are both parallel and congruent, ABEF is a parallelogram.

 Apr 1, 2020

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