Question

Writing a Similarity Statement
Triangle E F G. Angle E is 29 degrees, F is 88 degrees, G is 63 degrees. Triangle K L J. Angle K is 63 degrees, L is 29 degrees, J is 88 degrees.

Which similarity statement expresses the relationship between the two triangles?
Triangle E F G is similar to triangle J K L
Triangle G E F = Triangle K J L
Triangle F G E is similar to Triangle J K L
Triangle G F E = triangle L K J

Answer 1

Triangle F G E is similar to triangle J K L.

Reason: Match corresponding angles by measure:
- ∠F = 88° corresponds to ∠J = 88°
- ∠G = 63° corresponds to ∠K = 63°
- ∠E = 29° corresponds to ∠L = 29°

So the correspondence is F → J, G → K, E → L, giving FGE ~ JKL (option 3).