Question

state whether triangle ABC and triangle AED are congruent.

Answer 1

What information do you know about both triangles?

Answer 2

BC and DE are the same. CD, AC, and DA are the same. Line AB and line AG are both 7 long. Angle BAC and angle DAG are the same.

Answer 3

AB = AE = 7
BC = ED
AC = AD
All three sides of one triangle are congruent to the corresponding sides of the other triangle. By SSS the triangles are congruent.