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**Geometry 6.3 Big Idea: Use Similar Polygons**

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Similar Polygons: Two polygons where corresponding angles are congruent and corresponding side lengths are proportional (not congruent) Symbol for similarity is ~

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Scale Factor: In two similar polygons, the ratio of the lengths of two corresponding sides. All corresponding sides have the same ratio for similar polygons.

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**Theorem 6.1 Perimeters of Similar Polygons**

If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding sides (scale factor).

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**Example: In the diagram,**

List all pairs of congruent angles. Check that the ratios of corresponding sides lengths are equal. Write ratios of the corresponding side lengths in a statement of proportionality. What is the scale factor? What is the ratio of the perimeters?

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**Are these triangles similar?**

If yes, what is the scale factor? What is the ratio of the perimeters?

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**Example: In the diagram,**

Find the value of x.

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**In the diagram, Find the value of x.**

What is the scale factor of QRST to ABCD?

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