Question

The red figure is the image of the blue figure after a dilation with center C.Find the scale factor of the dilation.

Answer 1

k = 1/4 = 0.25

Step-by-step explanation

The red figure is smaller than the blue figure, therefore the scale factor must be less than 1.

When a figure is dilated, the image is similar to the original figure. This means that the ratio between the corresponding side lengths of the figures is constant. This constant is the scale factor.

In this diagram we know the lenght of the base: 28 and 7 after the dilation. The scale factor is:

`k=(7)/(28)=(1)/(4)=0.25`