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

The scale factor is 1.5

Explanation:

Given

`\left| OA\right| =5`

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

Required

Determine the scale factor

The scale factor (k) is calculated using:

`k = (\left| OA'\right|)/(\left| OA\right|)`

Substitute values for OA and OA'

`k = (7.5)/(5)`

`k = 1.5`

The scale factor is 1.5