Question

enter segments in the blanks provided that would result in a true equation.
answer
\\( \frac { r t } { s t } = \frac { } { } \\)

Explanation:

Step1: Identify similar triangles

Since \(\angle Q=\angle T\) and \(\angle P=\angle S\), \(\triangle QOP\sim\triangle TRS\) (by AA similarity criterion).

Step2: Use the property of similar triangles

For similar triangles \(\triangle QOP\) and \(\triangle TRS\), the ratios of corresponding sides are equal. So \(\frac{RT}{ST}=\frac{OP}{QP}\)

Answer:

\(\frac{OP}{QP}\)