Line bisects vertex angle of isosceles triangle

Answer the following questions on a sheet of paper.

1.Write down any observations you have down as you move the figure above around. 2. If line EG and line GF are congruent and line AG bisects angle G, What do you notice about the side lengths of line segments EA and AF? Why is angle EGA and angle FGA always congruent? Move around the figure to find out. 3. Write down any other observations you have.