SOLUTION: Given: line segment EG bisects angle DEF angle EDG is congruent to angle EFG Prove: angle DGF is isosceles I need help identifying specific statements with reason to

Algebra ->  Geometry-proofs -> SOLUTION: Given: line segment EG bisects angle DEF angle EDG is congruent to angle EFG Prove: angle DGF is isosceles I need help identifying specific statements with reason to      Log On


   

Question 753678: Given:
line segment EG bisects angle DEF
angle EDG is congruent to angle EFG
Prove:
angle DGF is isosceles

I need help identifying specific statements with reason to prove the given information
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I have to presume that G is not on the line containing the segment DF, otherwise there is no triangle DGF. The next time you want to describe a figure in words, describe it to a friend and have them draw the picture. Keep revising your description until your friend can reproduce the diagram without error using ONLY the description you have written -- NO verbal or other coaching. Otherwise, you are asking us to guess. If we guess wrong we have wasted our time, which means that you have wasted our time -- not good when my time is valuable and I'm giving it to you for free.

Angle DEG and angle FEG are congruent by definition of bisector. Angle EDG and angle EFG are congruent by given. EG congruent to EG by reflexive congruence. Triangle DEG congruent to triangle FEG by AAS. DG congruent to FG by CPCT. Triangle DGF isosceles by definition of isosceles.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism