Question

Triangle JKL is similar to Triangle GKH.

Answer 1

Based on the given information, we know that triangle JKL is similar to triangle GKH. This means that the corresponding angles of the two triangles are congruent, and the corresponding sides are proportional.

We can write this similarity in mathematical notation as:

∠J = ∠G
∠K = ∠H
∠L = ∠K

And

KL / KH = JK / JG = LJ / KH

This similarity allows us to make certain conclusions about the two triangles. For example, if we know the length of one side in triangle JKL, we can use the proportion to find the corresponding side length in triangle GKH. Similarly, if we know the measures of any of the angles in one triangle, we can find the measures of the corresponding angles in the other triangle.