document.write( "Question 251119: Write a two column proof :\r
\n" ); document.write( "\n" ); document.write( "Given : triangle DGH is isosceles,
\n" ); document.write( " segment DF is congruent to DI, angle FDG is congruent to angle IDH
\n" ); document.write( "Prove : triangle FGD is congruent to triangle IHD
\n" ); document.write( "

Algebra.Com's Answer #185023 by drk(1908)\"\" \"About 
You can put this solution on YOUR website!
STATEMENT 1: triangle DGH is isosceles
\n" ); document.write( "REASON 1: given
\n" ); document.write( "STATEMENT 2: DG congruent to DH
\n" ); document.write( "REASON 2: definition of isosceles triangles
\n" ); document.write( "STATEMENT 3: segment DF is congruent to DI
\n" ); document.write( "REASON 3: Given
\n" ); document.write( "STATEMENT 4: angle FDG is congruent to angle IDH
\n" ); document.write( "REASON 4: Given
\n" ); document.write( "STATEMENT 5: construct segments FG and IH
\n" ); document.write( "REASON 5: definition of construction
\n" ); document.write( "STATEMENT 6: triangle FGD is congruent to triangle IHD
\n" ); document.write( "REASON 6: SAS\r
\n" ); document.write( "\n" ); document.write( "* 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.
\n" ); document.write( "
\n" );