Question

∠A=∠D=90°,ΔABE≅ΔDCE by the congruence of.
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Answer 1

Answer:

IN AABE ANDA DCE

AS=DE (GIVEN)

ANGLE AEB = ANGLE CED (VERTICALLYOPPOSITE ANGLES)

HENCE BY ASA TRIANGLE CRITERION AABE ANDA DCE ARE CONGRUENT

Answer 2

In ∆ABE and ∆DCE,

Given, Angle A = Angle D

AS = DE

Angle AEB = Angle CED (Vertically Opposite Angles)

Hence, triangles ∆ABE and ∆DCE are congruent.