Geometry · Similarity & Right Triangles

Similar Figures

HSG-SRT.A.2

Definition

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

Teach it

Where it is taught, with guided notes, practice, homework, an exit ticket and an interactive Teacher Deck.

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.