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 ~ Similar figures are like photographs of different sizes such as 5 x 7, 8 x 10, 2 x 2.5

Similar Figures S G H I T R

Similar Figures K C B A J L

Not Similar Figures

Not Similar Figures

Triangle ABC ~ triangle DEF

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

Triangle ABC ~ triangle DEF 16 m 20 m 12 m A C B 5 m 4 m 3 m Triangle ABC ~ triangle DEF

Corresponding Sides AB = _5___ = 1 DE 20 4 AB ~DE 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

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

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

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

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

X 20 y 25 30 36 25x = 600 x = 24 30y = 900 y = 30

20 x 10 4 6 y 4y = 60 y = 15 10x = 80 x = 8