7-2 Similar Polygons.

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Presentation transcript:

7-2 Similar Polygons

Warm-up: Solve the proportion: 10 8 = 15 𝑥 A map uses the scale 1cm = 20mi. A county is 90mi wide. How wide is the county on the map? If 𝑥 𝑦 = 7 11 , complete the following: 𝑥+𝑦 𝑦 = ? 11 7y = ?

Similar Figures Figures that have the same shape but are not necessarily the same size are similar. The symbol for similar is ~ Two polygons are similar if: Corresponding angles are congruent Corresponding sides are proportional The ratio of the lengths of corresponding sides is the similarity ratio.

Similar Figures Are the triangles similar? How do you know you are correct?

Similar Figures LMNO ~ QRST Find x.

Are the figures similar? How do you know you are correct?