Respuesta :

Answer:

The Option is D) ΔDEC ≅ ΔDEA

ΔDEC ≅ ΔDEA  ….{By Side-Angle-Side Congruence Statement}

Step-by-step explanation:

Given:

AE ≅ EC

∠AED ≅ ∠CED = 90°

To Prove:

ΔDEC ≅ ΔDEA

Proof:

In  ΔDEC  and ΔDEA  

AE ≅ EC               ……….{Given}

∠AED ≅ ∠CED     …………..{measure of each angle is 90°}

ED ≅ ED                ……….{Reflexive Property}

ΔDEC ≅ ΔDEA  ….{By Side-Angle-Side Congruence Statement}