Question

figure r is the result of a transformation on figure q. which transformation would accomplish this?

Explanation:

Step1: Analyze the transformation

We observe that Figure R is a scaled - up version of Figure Q. The key is to check the ratio of corresponding side lengths.
Let's assume a pair of corresponding sides. If we consider the vertical or horizontal segments (for simplicity, assume we can pick a base or height - like segment).
Suppose a segment in Figure Q has length \(l_Q\) and the corresponding segment in Figure R has length \(l_R\). By visual inspection (counting grid units if it were on a proper grid with unit markings, but conceptually), we can see that the transformation is a dilation.
A dilation is a transformation that changes the size of a figure but not its shape. It is defined by a scale factor \(k=\frac{l_R}{l_Q}\).

Answer:

A dilation (enlargement) would accomplish this transformation.