SOLUTION: I really need help trying to solve this triangle proof. Given: Triangle DGF is isosceles with base line DF. Also Given: Angle EGD Is congruent with angle EGF. Prove: line EG bisect

Algebra ->  Geometry-proofs -> SOLUTION: I really need help trying to solve this triangle proof. Given: Triangle DGF is isosceles with base line DF. Also Given: Angle EGD Is congruent with angle EGF. Prove: line EG bisect      Log On


   

Question 762415: I really need help trying to solve this triangle proof. Given: Triangle DGF is isosceles with base line DF. Also Given: Angle EGD Is congruent with angle EGF. Prove: line EG bisects angle DEF
Found 2 solutions by MathLover1, solver91311:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
proof: Line EG bisects angle DEF
statement.....................................................................reason
Triangle DGFis isosceles with base line DF................given
Angle EGD is congruent to angle EGF.......................given
GD+=+GF ........................................................isosceles triangle both sides are =
DE+=+GE .........................................................................reflexive
ΔDGE ≅ ΔFGE ........................................................SAS
< GED = < GEF.................................................................CPCTC
Line EG bisects angle DEF ..........................................definition of bisect

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Step Reason
Extend GE to intersect DF at H Construction
≅ Given
≅ Defn Isosceles
≅ Reflexive Equality
≅ SAS
≅ CPCT
is a straight angle Construction
Partition Postulate
Partition Postulate
Substitution and Addition Postulates
The line containing the segment bisects Definition of Bisector


Had to take some extra steps maybe because you didn't bother to describe where Point E was placed.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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