Similar triangles: proportions

Two figures that have the same shape are similar ∆ABC is similar to ∆DEF ∡A≅∡ Similar figures have CONGRUENT angles ∆ABC is similar to ∆DEF ∡B≅∡ ∡C≅∡ In similar figures, corresponding (matching) sides are proportional 6 3 = 10 ?? Complete the statement of proportionality 12 12 24 ? 8 = 10 10 20 ? = 24 16 16 ? 8 20 ∆ABC is similar to ∆EFG A AB EF ? = B C BC FG ? E = AC EG ? F G (enter each 2 segment letters in alphabetical order) ∆ABC is similar to ∆EFG A AB = B C BC U = AC V W These ∆s are similar, which means they have proportional sides 12 x 12 9 = x 6 G These ∆s are similar, which means they have proportional sides 12 x 12 9 = 9 6 x = x 6 G A D B E C Segment DE is parallel to segment AC A D ◄ ◄ B E C The parallel lines form corresponding ∡s ∡BDE ≅ ∡ ∡BED ≅ ∡ (One-letter angles) A ∆ABC is similar to ∆ D B E C Segment DE is parallel to segment AC Since the ∆s have 2 corresponding congruent angles, they are SIMILAR. A ∆ABC is similar to ∆ DBE D B E C Segment DE is parallel to segment AC |

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