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Geometry 6.3 Big Idea: Use Similar Polygons

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Presentation on theme: "Geometry 6.3 Big Idea: Use Similar Polygons"— Presentation transcript:

1 Geometry 6.3 Big Idea: Use Similar Polygons

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

3 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.

4 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).

5 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?

6 Are these triangles similar?
If yes, what is the scale factor? What is the ratio of the perimeters?

7 Example: In the diagram,
Find the value of x.

8 In the diagram, Find the value of x.
What is the scale factor of QRST to ABCD?


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