Question

quadrilateral rstu is dilated to produce quadrilateral rstu. if the perimeter of rstu is r and the perimeter of rstu is n, what is the scal actor of the dilation? 5 of 7 question m·n m + n \\( \frac { m } { n } \\) \\( \frac { n } { m } \\)

Explanation:

Step1: Recall the property of dilation and perimeter

When a figure is dilated by a scale factor \(k\), the ratio of the perimeters of the dilated figure to the original figure is equal to the scale factor. Let the scale factor be \(k\). If the perimeter of the original quadrilateral \(RSTU\) is \(m\) and the perimeter of the dilated quadrilateral \(R'S'T'U'\) is \(n\), then \(k=\frac{\text{Perimeter of }R'S'T'U'}{\text{Perimeter of }RSTU}\).

Step2: Substitute the given perimeters into the formula

Substituting the values, we get \(k = \frac{n}{m}\).

Answer:

\(\frac{n}{m}\)