Question

Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'. What is the scale factor of the dilation?

Answer 1

The scale factor is 4

Explanation:

Given

See attachment for parallelograms

Required

Determine the scale factor (k)

Using sides FG and F'G' as a point of reference:

`FG = 2\ units`

`F'G' = 8\ units`

The scale factor (k) is calculated as:

`k = (New)/(Original)`

`k = (F'G')/(FG)`

`k = (8\ units)/(2\ units)`

`k = 4`