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Similar Figures and Triangles

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by

Jonathan Foo

on 21 September 2012

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Transcript of Similar Figures and Triangles

Example Similarity Definition Similar Figures Two Figures are similar if they have the same shape but different size No matter how you enlarge or reduce the size of the figure, the shape does not change Properties of Similar figures Similar Triangles Statement of Similarity Properties of Similar Triangles Side Side Side (SSS) Side Angle Side (SAS) Angle Angle Angle (AAA) Angle Angle Angle (AAA) Side Angle Side (SAS) Side Side Side (SSS) If you observe, each new figure is of the same shape of the original but of a different size Property 1: Corresponding Angles
are Equal Measure the angles Property 2: Ratio of
Corresponding Sides are equal Measure the
lengths Lets look at the Proves
for
Similar Triangles Property 1: Each pair of corresponding angles
are Equal Property 2: Ratio of each pair of corresponding Sides are equal (S) (S) (S) Side Side Side (SSS) Side Angle Side (SAS) Angle Angle Angle (AAA) Area of Similar Figures Volume of Similar Solids Maps and Scales Summary If two triangles share the same base, ratio of their area will be the ratio of their respective heights If two triangles share the same Height,
ratio of their area will be the ratio of their respective bases Example Area of Maps Example 2
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