Question

ANSWER FOR 100 POINTS!!! VERY EASY QUESTION, BUT NEED EXPLANATION AS IT's A FREERESPONSE

In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while point E is the point of intersection between segment AG and segment DF.



Prove ΔABC ∼ ΔGEF.

Answer 1

Explanation:

We are given that ∠ABC≅∠DEC and ∠GFE≅∠DCE

By Vertical Angles: ∠DEC≅∠GEF and ∠DCE≅∠ACB

By Substitution: ∠ABC≅∠GEF and ∠GFE≅∠ACB

By Angle-Angle Similarity: ΔABC~ΔGEF

Hope this helps! Sorry if I didn't explain well :(