Question

determine if \\( \overline { s t } \\) is parallel to \\( \overline { p r } \\) using the converse of the triangle proportionality theorem.

parallel
not parallel

Explanation:

Step1: Calculate the ratio of \( \frac{QS}{SP} \)

\( \frac{QS}{SP}=\frac{19}{38}=\frac{1}{2} \)

Step2: Calculate the ratio of \( \frac{QT}{TR} \)

\( \frac{QT}{TR}=\frac{24}{52}=\frac{6}{13} \)

Step3: Compare the two ratios

Since \( \frac{1}{2}
eq\frac{6}{13} \), by the converse of the triangle proportionality theorem.

Answer:

NOT Parallel