Parallelogram conguence?

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1 Answer
May 11, 2017

DeltaABE ~= DeltaCDE by using SAS - Side Angle Side Congruency condition. When 2 sides and their included angle are equal then the two given triangles are Congruent.

Explanation:

The diagonals of a Parallelogram bisect each other.

Thus , side AE = EC and side BE = ED ......................(1)

And,

/_ AEB = /_DEC ..............................(2)
{ These are Vertically Opposite Angles so they are equal }

From the conditions (1) and (2) it is clear by using SAS rule so that

DeltaABE ~= DeltaCDE

Hence Proved.