Answer:
1. Given
2.corresponding angles in similar triangles are congruent
3.Ratio of corresponding sides of similar triangles is the same
4. DC/AE =1/3
5. 1/3 ratio of corresponding sides of similar triangles is the same
6. Triangle ABE is similar to triangle DBC
Explanation:
Similarity in geometry requires states that when the measure of corresponding sides of two triangles, the two triangles are similar.
In this case, according to the SSS similarity, if the corresponding sides of two triangles are proportional, the triangles are similar. For example, BC/EB=BD/BA=1/3