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Similar Figures

Similar Figures. 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 ~

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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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