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Similar Triangles

Similar Triangles. Similar shapes. Are Enlargements of each other Corresponding angles are equal Sides are related by the same scale factor. Similar Triangles. Triangles are similar if matching angles remain the same size. 100º. 30º. 50º. 100º. 30º. 50º.

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Similar Triangles

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  1. Similar Triangles

  2. Similar shapes • Are Enlargements of each other • Corresponding angles are equal • Sides are related by the same scale factor

  3. Similar Triangles Triangles are similar if matching angles remain the same size. 100º 30º 50º 100º 30º 50º

  4. Show that these triangles are similar 10º 50º 120º 120º 10º 50º

  5. To calculate a length 5 15 5 4 x 3 x 3 6 Scale factor 3 15 12 1 3 18 Scale factor 1/3

  6. To calculate a length 4 6 4 3 3 2 x 3 2 x 6 Scale factor 1.5 6 4.5 2 3 9 Scale factor 2/3

  7. Scale Factor 3 4 Reduction: Scale factor less than 1 10 9 12 Enlargement: Scale factor larger than 1 4 3 12 9 = To find the scale factor put corresponding in a ratio.

  8. Summary – Similar shapes • To calculate missing sides, we first can use the scale factor or proportions. • Put corresponding sides over each other.

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