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

Answer:

Step-by-step 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.

Answer 2

I hope this helps you