Question

select the proportion that relates the corresponding sides.
a) $\frac{gh}{jk}=\frac{fh}{kl}=\frac{fg}{jl}$
b) $\frac{fh}{jk}=\frac{fg}{kl}=\frac{gh}{jl}$
c) $\frac{fg}{jk}=\frac{fh}{kl}=\frac{gh}{jl}$
d) $\frac{fg}{jk}=\frac{gh}{kl}=\frac{fh}{jl}$

Explanation:

Step1: Recall similarity - side - proportion rule

In similar triangles, the ratios of corresponding sides are equal. If two triangles are similar, say $\triangle FGH$ and $\triangle JKL$, then the ratio of the first - named side of the first triangle to the first - named side of the second triangle is equal to the ratio of the second - named side of the first triangle to the second - named side of the second triangle and the ratio of the third - named side of the first triangle to the third - named side of the second triangle.
So, if $\triangle FGH\sim\triangle JKL$, then $\frac{FG}{JK}=\frac{GH}{KL}=\frac{FH}{JL}$.

Answer:

D. $\frac{FG}{JK}=\frac{GH}{KL}=\frac{FH}{JL}$