Question

In thae 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

@mathmath333

Answer 2

still don't understand): I'm really bad at this stuff. could you explain in words? @mathmath333

Answer 3

here angle DEC and angle GEF are vertical angles therefore they are equal

Answer 4

∠ABC ≅ ∠DEC ..given

Answer 5

therefore ∠ABC ≅ ∠GEF

Answer 6

in words , how could I describe this to my teacher? maybe in steps to prove?

Answer 7

similarly ∠GFE ≅ ∠ACB

Answer 8

there fore by angle angle(AA) similarity\[\Delta ABC \approx \Delta GEF\]