Question

quadrilaterals q and p are similar.
a. what is the scale factor of the dilation that takes p to q?
type your answer in the box.
b. what is the scale factor of the dilation that takes q to p?
type your answer in the box.

Explanation:

Step1: Find scale factor from \(P\) to \(Q\)

Scale factor \(=\frac{\text{corresponding side of }Q}{\text{corresponding side of }P}\). Using the sides \(2.5\) (from \(Q\)) and \(2\) (from \(P\)), scale factor \(=\frac{2.5}{2}=\frac{5}{4} = 1.25\)

Step2: Find scale factor from \(Q\) to \(P\)

Scale factor \(=\frac{\text{corresponding side of }P}{\text{corresponding side of }Q}\). Using the sides \(2\) (from \(P\)) and \(2.5\) (from \(Q\)), scale factor \(=\frac{2}{2.5}=\frac{4}{5}=0.8\)

Answer:

a. \(1.25\)
b. \(0.8\)