The correct option is A Δ ABC≅ Δ DEC (Hypotenuse Leg)
Here in the above picture,
AB=DE (given)
∠ABC=∠DEC=90o(given)
AC=DC(given)
Hence, ΔABC≅ΔDEC( Hypo. Leg. Cong.)
As, one of the sides and corresponding Hypotanuse are equal in the given right triangles, so congruence condition is Hypotenuse Leg Congruency.
Hence, option(a) correct.