Geometry · Similarity & Right Triangles

Similar Figures

HSG-SRT.A.2

Definition

Figures with the same shape, having congruent angles and proportional side lengths.

Examples

  • Triangle ABC ~ Triangle DEF with side ratios 6:3 = 8:4 = 10:5 = 2, so the figures are similar.
  • Two rectangles are similar if their side lengths share the same ratio, like 4:2 and 8:4.

Key rule

Similar figures always have congruent angles and proportional sides.

Memory hook

Same shape, different size — angles match, sides scale.