Question

given \\( \triangle lmn \sim \triangle opn \\). enter segments in the blanks provided that would result in a true equation.

answer attempt 1 out of 2

\\( \frac { m n } { l n } = \frac { \square } { \square } \\)

Explanation:

Step1: Use the property of similar triangles

Since \(\triangle LMN\sim\triangle OPN\), the ratios of corresponding sides are equal.

Step2: Identify corresponding sides

In similar triangles \(\triangle LMN\) and \(\triangle OPN\), \(MN\) corresponds to \(PN\) and \(LN\) corresponds to \(ON\). So, by the property of similar - triangles \(\frac{MN}{LN}=\frac{PN}{ON}\).

Answer:

\(\frac{MN}{LN}=\frac{PN}{ON}\)