Question

Prove ΔABC ∼ ΔGEF. (10 points)

Answer 1

1. < DCE=< DEC in the picture
⇒
2. ⇒⇒ the triangles ABC and EFG have 2 angles equals ⇒ ABC~ EFG

5. ⇒ < ABC=6. < GFE = < BCA= < ECD =
⇒ the triangles ABC and EFG have 2 angles equals ⇒ ABC~ EFG

Answer 2

Explanation:

If we take the below diagram for the given triangles, then ∠B=∠E and ∠A=∠G if AB=GE or if BC=EF, then corresponding angles will be equal.

Therefore, if we rotate the diagram, then also the angles will remain the same.