1. given: ab ≅ ad and ≅ eaca prove: δ abc ≅ δ ade

are congruent by SAS (Side-Angle-Side) postulate.

Step-by-step explanation:

We have been given a diagram. We are asked to prove that triangle ABC is congruent to triangle ADE.

We have been given that segment AB is congruent to segment AD and segment EA is congruent to segment CA.

We can see that angle BAC and angle DAE are vertical angle, so their measures will be equal.

Since the two sides of triangle BAC (CA and AB) and included angle BAC is equal to two sides of triangle DAE (EA and AD) and included angle DAE, therefore, both angles are congruent by SAS (Side-Angle-Side) postulate.