If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime?

Triangle OPQ is shown with point R lying on side OP and point S lying on side OQ Line RS is perpendicular to side OQ.

segment R prime S prime = one half segment RS
segment R prime S prime = two segment RS
segment R prime S prime = segment RS
segment R prime S prime = three segment RS

segment R prime S prime = three segment RS

Step-by-step explanation:

we know that

A dilation is a non rigid transformation, that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles  are congruent

In this problem

The scale factor is 3

so

Applying proportion

therefore

segment R prime S prime = three segment RS

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.