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Similar Figures

Learn about similar figures, which have the same shape but not the same size. Corresponding sides are proportional, and corresponding angles are congruent. Discover how to use proportions to find missing side lengths.

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Similar Figures

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  1. Similar Figures

  2. Similar Figures • Similar Figures – have the same shape but not the same size. • The corresponding sides are all proportional with the same ratio. • The corresponding angles are all congruent • Symbol for similar is ~ • Similar figures are like photographs of different sizes such as 5 x 7, 8 x 10, 2 x 2.5

  3. G H I T Similar Figures S R

  4. A C B Similar Figures K J L

  5. Not Similar Figures

  6. Not Similar Figures

  7. A D B C F E Triangle ABC ~ triangle DEF

  8. Corresponding Angles < A ~ <D < B ~ <E < C ~ < F Corresponding angles are have equal measurement Triangle ABC ~ triangle DEF

  9. A D 5 m 20 m 4 m 16 m B C 3 m F E 12 m Triangle ABC ~ triangle DEF

  10. Corresponding Sides AB = _5___ = 1 DE 20 4 BC = _3__ = 1 FE 12 4 AC = _4__ = 1 DF 16 4 AB ~DE BC ~ FE AC ~ DF Corresponding sides have proportional measurement Triangle ABC ~ triangle DEF

  11. S G H I R T Similar Figures <T = < R = < S = ST ~ TR ~ SR ~ <I < H < G GI HI GH triangle HIG ~ triangle RTS

  12. K A C B J L Similar Figures Triangle JKL ~ triangle CAB

  13. Using proportions to find missing side lengths 24 16 x 27 y 12 • 24x = 432 • X = 18

  14. Using proportions to find missing side lengths 24 16 x 27 y 12 • 24y = 192 • y = 8

  15. X 20 y 25 30 36 • 25x = 600 • x = 24 • 30y = 900 • y = 30

  16. 20 x 10 4 6 y • 4y = 60 • y = 15 • 10x = 80 • x = 8

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