Question 762415
proof: Line {{{EG}}} bisects angle {{{DEF}}}

statement.....................................................................reason
Triangle {{{DGF}}}is isosceles with base line {{{DF}}}................given
Angle {{{EGD}}} is congruent to angle {{{EGF}}}.......................given
{{{GD = GF}}} ........................................................isosceles triangle both sides are =
{{{DE = GE}}} .........................................................................reflexive
Δ{{{DGE}}} ≅ Δ{{{FGE}}} ........................................................SAS
< {{{GED}}} = < {{{GEF}}}.................................................................CPCTC
Line {{{EG}}} bisects angle {{{DEF}}} ..........................................definition of bisect