Question

Check the box labeled Show Segment Parallel to BC. Notice that DE intersects two sides of triangle ABC creating a smaller triangle, triangle ADE. How is triangle ADE related triangle ABC to ? How do you know?

Answer 1

Answer: Since corresponding angles of parallel lines cut by a transversal are congruent, ADE = ABC and AED = ACB. So, based on the AA criterion for similarity, ABC ~ ADE.

Step-by-step explanation: Sample answer from Edmentum! Hope It helps :)

Answer 2

Answer:

Since corresponding angles of parallel lines cut by a transversal are congruent, ∠ADE ≅ ∠ABC and ∠AED ≅ ∠ABC. So, based on the AA criterion for similarity, ΔABC ~ ΔADE.

This is the sample answer given from Edmentum. Hope this helps!