Notice from the figure that two angles of GFE are congruent to two angles of NLM.
It is required to determine if the triangles are similar, if yes, find the scale factor, and state the similarity statement.
Recall the Angle-Angle Similarity (AA~) Theorem:
Hence, by the theorem, the triangles are similar.
The similarity statement from the given corresponding congruent angles is:
[tex]\triangle GFE\cong\triangle NLM[/tex]
Recall that the scale factor is the ratio of lengths of two corresponding sides of similar figures.
Hence, the scale factor is:
[tex][/tex]
