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Similar Figures

Example 1. Example 2. Similar Figures. Definition : Figures are similar if they have the same shape but not necessarily the same size. Triangles are similar if they have the same angles. bk. b. Scale by k. ak. a. Scale Factors.

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Similar Figures

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  1. Example 1 Example 2 Similar Figures Definition: Figures are similar if they have the same shape but not necessarily the same size. Triangles are similar if they have the same angles.

  2. bk b Scale by k ak a Scale Factors The Sides of similar figures are related by a Scale Factor

  3. Similar Triangles Similar Triangles have the same angles x b a y z Their sides are connected by the scale factor: a=kp b=kq c=kr c Scale factor k x p q y z r

  4. Scale by k bk b ak a Areas of Similar Figures Area = ab Area = ak x bk = abk2 If sides scale by k then Area scales by k2

  5. c ck b bk a ak Scale by k Volume of Similar Figures Volume = abc Volume = ak x bk x ck = abck3 If the sides scale by k then the Volume will scale by k3

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