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I can't seem to figure out this one

:confused:

Hello,

I have tried and tried and can't figure out this one. I actually cannot figure out where to start. I need to prove that triangle AGC is an isosceles triangle.

I need to prove it in 10 steps and so far, I have:

angle BGE is congruent to angle DGE becuase it was given.

I believe that the last step in my proof will be that triangle AGC is isosceles because the definition of isoscels is that 2 angles or 2 sides are eaqual.

I just can't figure out fow to connect the begining of the proof to the end. (By proving that which 2 sides or 2 angles are congruent.)

Any help will be greatly appreciated!

Thanks in advance!

in case it is needed, I was also given that:

line GB is congruent to line GB,

angle BGE is congruent to angle DGE

line GF is perpendicular to line AC

a picture of my triangle is attached