Question

​If \left| OA\right| =5∣OA∣=5 and \left| OA'\right| =7.5∣OA ′ ∣=7.5, what is the scale factor, rr, of this dilation?

Answer 1

Answer:

The scale factor is 1.5

Step-by-step explanation:

Given

$\left| OA\right| =5$

$\left| OA'\right| =7.5$

Required

Determine the scale factor

The scale factor (k) is calculated using:

$k = \frac{\left| OA'\right|}{\left| OA\right|}$

Substitute values for OA and OA'

$k = \frac{7.5}{5}$

$k = 1.5$

The scale factor is 1.5