State whether ABC and AED are congruent. Justify your answer.

Answer 1

To determine whether ABC and AED are congruent, we need to compare their corresponding sides and angles.

Looking at the sides:
- Side AB corresponds to side AE.
- Side BC corresponds to side ED.
- Side AC corresponds to side AD.

Since the corresponding sides are equal, AB = AE, BC = ED, and AC = AD, we can say that the sides of ABC and AED are congruent.

Looking at the angles:
- Angle ABC corresponds to angle AED.
- Angle BCA corresponds to angle EDA.
- Angle CAB corresponds to angle EAD.

Since the corresponding angles are equal, angle ABC = angle AED, angle BCA = angle EDA, and angle CAB = angle EAD, we can say that the angles of ABC and AED are congruent.

Based on the information above, we can conclude that ABC and AED are congruent.