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Section 7-3 Similar Polygons.

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Presentation on theme: "Section 7-3 Similar Polygons."— Presentation transcript:

1 Section 7-3 Similar Polygons

2 Similar Polygons Two polygons are similar if their vertices can be paired so that: Corresponding Angles are congruent. and Corresponding Sides are proportional (their lengths have the same ratio.)

3 Similar figures have the same shape, but not necessarily the same size.

4 If polygon ABCDE ~ polygon FGHIJ, then

5 Similarity has some of the same properties as equality and congruence:
Reflexive Symmetric Transitive

6 Scale Factor The ratio of the lengths of two corresponding sides of similar polygons One convenient way to label vertices of similar polygons is by using A and A´ (read A prime), B and B´, and so on.

7 The ratio of the perimeters of similar figures is the same as the scale factor of the similar figures.


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