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SIMILAR POLYGONS Two figures are similar if

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Presentation on theme: "SIMILAR POLYGONS Two figures are similar if"— Presentation transcript:

1 SIMILAR POLYGONS Two figures are similar if
Corresponding ANGLES are CONGRUENT Corresponding SIDES are PROPORTIONAL

2

3 Solve each proportion:

4 DON’T FORGET –

5 Example: Determine whether the pair of triangles is similar. Justify your answer. Show all work.

6 Scale Factor If the Scale Factor < 1 polygon is getting smaller
The ratio of the lengths of two corresponding sides of two similar polygons or two similar solids NOTE: The scale factor for two similar polygons depends on the order of comparison If the Scale Factor < polygon is getting smaller If the Scale Factor > polygon is getting bigger If the Scale Factor < polygon is getting smaller If the Scale Factor > polygon is getting bigger Reduction k<1 Enlargement k>1

7 Always, Sometimes or Never
Congruent triangles are __________similar. Similar triangles are __________ congruent. Equiangular octagons are __________ similar.   Always, Sometimes or Never


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