Question

The triangles below are similar.

Triangle G H F. Angle G is 65 degrees, H is 24 degrees, F is 91 degrees. Triangle J K L. Angle J is 24 degrees, K is 91 degrees, L is 65 degrees.

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

Answer 1

To express the similarity relationship between the two triangles, we need to look at the corresponding angles.

For Triangle GHF:
- Angle G = 65 degrees
- Angle H = 24 degrees
- Angle F = 91 degrees

For Triangle JKL:
- Angle J = 24 degrees
- Angle K = 91 degrees
- Angle L = 65 degrees

Now we can match the angles:
- Angle G (65 degrees) corresponds to Angle L (65 degrees).
- Angle H (24 degrees) corresponds to Angle J (24 degrees).
- Angle F (91 degrees) corresponds to Angle K (91 degrees).

Thus, the corresponding angles of the triangles are the same. Therefore, we can conclude that:

**Triangle GHF is similar to Triangle JKL.**

The correct similarity statement is:
**Triangle FGH is similar to Triangle JKL.**

(Note: There's a slight change in the order of the letters in your options versus traditional labeling, but based on angle correspondence, the triangles are indeed similar as stated.)