Question

1. quadrilaterals o and p are similar.

what is the scale factor of the dilation that takes p to q? (lesson 3 - 6)
a $\frac{3}{5}$
b $\frac{4}{5}$
c $\frac{5}{4}$
d $\frac{5}{3}$

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{length of corresponding side in }Q}{\text{length of corresponding side in }P}\)

Step2: Identify corresponding sides

Take the side of length \(2.5\) in \(Q\) and the corresponding side of length \(2\) in \(P\) (or the side of length \(5\) in \(Q\) and the corresponding side of length \(4\) in \(P\)).

Step3: Calculate the scale factor

Using the sides \(2.5\) and \(2\): \(\frac{2.5}{2}=\frac{2.5\times2}{2\times2}=\frac{5}{4}\). Using the sides \(5\) and \(4\): \(\frac{5}{4}\)

Answer:

C. \(\frac{5}{4}\)