Question

the blue figure is a dilation image of the black figure. the labeled point is the center of the dilation, find the scale factor of the dilationSF=(simplify your answer)

Answer 1

Given :

the blue figure is a dilation image of the black figure. the labeled point is the center of the dilation

So, the figures are similar , so, the corresponding sides are in proportionals

So, the dilation factor = 2/6 = 1/3

We have divided the lengths of the vertical sides by each other

The length of the vertical side of the black figure = 6 units

The length of the vertical side of the blue figure = 2 units

so, the factor = 2/6 = 1/3