Question

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

A) Triangles ABC and AED are congruent because they have the same side lengths and angles.
B) Triangles ABC and AED are not congruent because their angles and side lengths do not match.
C) Triangles ABC and AED are congruent because they share a common vertex.
D) Triangles ABC and AED are not congruent because they have different orientations.

Answer 1

Triangles ABC and AED are not congruent because their angles and side lengths do not match.

Step-by-step explanation:

Triangles ABC and AED are congruent if they have the same side lengths and angles. To determine if they are congruent, we need to compare their corresponding sides and angles. If all corresponding sides and angles are equal, then the triangles are congruent.

In this case, we don't have enough information to determine if the triangles are congruent, so the correct answer would be B) Triangles ABC and AED are not congruent because their angles and side lengths do not match.