Question

What is the approximate scale factor dilating from the red image to the blue image?Explain how you figured this out.

Answer 1

If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.

Explanation:

• The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.

• To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor = $\frac{baselengthbeforescaling}{baselengthafterscaling}$ = $\frac{2.5}{9}$ = 0.2777.
• So the red image is dilated by a scale factor of 0.2777 to produce the blue image.