7th Grade · Geometry

Proportional

7.G.A.1

Definition

Two figures are proportional if all pairs of corresponding sides have the same ratio (scale factor). Proportional figures have the same shape but different sizes.

Examples

  • Sides 6/3, 8/4 both equal 2 — proportional, scale factor 2.
  • Sides 3,4,5 vs 6,7,10 give ratios 2, 1.75, 2 — not equal, NOT proportional.

Key rule

All corresponding sides must be in the same ratio AND corresponding angles equal.

Memory hook

Same shape, same ratio, different size.