Question

From the information in the diagram can you prove FTG is congruent to FGE

Answer 1

yes by ASA

Explanation:

angle gdf equals angle edf

side DF is common to both

angle gfd equals angle efd

hence by ASA (short for angle side angle)

Answer 2

Yes, by AAA.

Explanation:

The triangles share 3 pairs of congruent angles. Therefore, these triangles can be proven to be congruent by AAA congruence theorem.