SOLUTION: Write a two column proof : Given : triangle DGH is isosceles, segment DF is congruent to DI, angle FDG is congruent to angle IDH Prove : triangle FGD is congruent to

Algebra ->  Geometry-proofs -> SOLUTION: Write a two column proof : Given : triangle DGH is isosceles, segment DF is congruent to DI, angle FDG is congruent to angle IDH Prove : triangle FGD is congruent to       Log On


   

Question 251119: Write a two column proof :
Given : triangle DGH is isosceles,
segment DF is congruent to DI, angle FDG is congruent to angle IDH
Prove : triangle FGD is congruent to triangle IHD
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
STATEMENT 1: triangle DGH is isosceles
REASON 1: given
STATEMENT 2: DG congruent to DH
REASON 2: definition of isosceles triangles
STATEMENT 3: segment DF is congruent to DI
REASON 3: Given
STATEMENT 4: angle FDG is congruent to angle IDH
REASON 4: Given
STATEMENT 5: construct segments FG and IH
REASON 5: definition of construction
STATEMENT 6: triangle FGD is congruent to triangle IHD
REASON 6: SAS
* The tricky part here was that triangle DGH was isosceles, but you are not told which sides are congruent, so you can pick any pair. That is what I did in STATEMENT 2.