Objectives: To identify similar polygons To apply similar polygons

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Presentation transcript:

Objectives: To identify similar polygons To apply similar polygons 8-2 Similar Polygons M11.C.1 2.2.11.A Objectives: To identify similar polygons To apply similar polygons

Vocabulary Two figures that have the same shape but not necessarily the same size are similar Symbol: ~ Two polygons are similar if corresponding angles are congruent and corresponding sides are proportional. The ratio of the lengths of corresponding sides is called the similarity ratio.

Understanding Similarity △ABC ~△XYZ Complete:

Determining Similarity Determine whether the parallelograms are similar. Explain.

Using Similar Figures If ABCD ~ EFGH, find the value of x.

Using Similar Figures If △ABC ~△XYZ, find the value of x and y.

Examples: Real World Connections A painting is 24 in by 36 in. The length of a postcard reduction of the painting is 6 in. How wide is the postcard?