Question

Are the triangles similar? If so, write the similarity statement and state which theorem or postulate is used to prove the two triangles similar.

A. Yes, ABC ~ EDC by the SAS similarity theorem
B. Yes, ABC ~ DCE by the SSS similarity theorem
C. Yes, ABC ~ DEC by the AA similarity postulate
D. No, these triangles are not similar.

Answer 1

I hope this helps you

Answer 2

Explanation:

Given is a triangle ABC. ED is parallel to AB cutting AB at D and BC at E.

The lines are parallel Hence corresponding angles are equal

Angle D = Angle B and Angle E = angle C

Hence in triangles ADE and ABC two angles are congruent.

This implies that ADE and ABC are congruent by AA congruence

Since two angles are congruent the triangles are similar.