Question

select the proportion that relates the corresponding sides.

a) \\( \frac { g h } { j k } = \frac { f h } { k l } = \frac { f g } { j l } \\)

b) \\( \frac { f h } { j k } = \frac { f g } { k l } = \frac { g h } { j l } \\)

c) \\( \frac { f g } { j k } = \frac { f h } { k l } = \frac { g h } { j l } \\)

d) \\( \frac { f g } { j k } = \frac { g h } { k l } = \frac { f h } { j l } \\)

Explanation:

Step1: Recall the concept of similar triangles

In similar triangles, the ratios of corresponding sides are equal.

Step2: Identify corresponding sides

Assume \(\triangle FGH\sim\triangle JKL\). Then \(FG\) corresponds to \(JK\), \(FH\) corresponds to \(KL\), and \(GH\) corresponds to \(JL\).

Step3: Write the proportion

The proportion of corresponding sides is \(\frac{FG}{JK}=\frac{FH}{KL}=\frac{GH}{JL}\)

Answer:

C. \(\frac{FG}{JK}=\frac{FH}{KL}=\frac{GH}{JL}\)