Question

Look at the figure.

Triangle EFD has the measure of angle EFD equal to 60 degrees. G is a point on side DF. Points E and G are joined by a straight line. Angle DEG measures 60 degrees.

Make a two-column proof showing statements and reasons to prove that triangle DEF is similar to triangle DEG.

Answer 1

G: Triangles DEF and DEG; m<DEG = m<GFE = 60.
P: Triangle DEF is similar to Triangle DEG

1. m<DEG = m<DFE = 60 --> Given
2. <DEG is congruent to <DFE --> Definition of Congruent Angles
3. <D is congruent to <D --> Reflexive Property of Congruence
4. Triangle DEF is similar to Triangle DEG --> Angle-Angle Triangle Similarity Postulate

Answer 2

Thank you