1.

In figure, AB = EF , BC = DE , AB is perpendicular to BD and EF is perpendicular to CE . Prove that triangle that ABD is congruent to triangle FEC .

Answer»

In triangle ABD AND FEC
AB=FE ( given )

BC = DE
in whichCD is common part coming in both triangles
BC + CD = CD + DE
= > BD = CE
THEREFORE triangle ABD is congruent to triangle FEC by SAS rule of congruence

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