SOLUTION: Given: Triangle EFG is Isoceles with Base EF. <FGH =<EGH Prove: H is the Midpoint of EF

Algebra ->  Geometry-proofs -> SOLUTION: Given: Triangle EFG is Isoceles with Base EF. <FGH =<EGH Prove: H is the Midpoint of EF      Log On


   

Question 935635: Given: Triangle EFG is Isoceles
with Base EF. Prove: H is the Midpoint of EF
Answer by hovuquocan1997(83) About Me  (Show Source):
You can put this solution on YOUR website!
We have
GH is a shared side
=> Triangle FGH is congruent to triangle EGH (AAS situation)
=> side HF = side HE (congruent triangles properties, corresponding sides are equal)
=> H is the midpoint of EF