8th Grade · Geometry

Scale Factor

8.G.A.4

Definition

The ratio of a length in the image to the corresponding length in the original figure. It tells how much a dilation enlarges or reduces a figure.

Examples

  • A side of 4 becomes 8 → scale factor = 8/4 = 2.
  • k > 1 enlarges; k = 1 keeps the same size; 0 < k < 1 shrinks.

Key rule

Scale factor compares the image's length to the original's length.

Memory hook

How many times bigger or smaller.