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Do Now Geometry 6.1: Use similar polygons Objective: SWBAT use proportions to identify similar polygons. Similar Polygons Two polygons are similar if corresponding angles are congruent and corresponding side lengths are proportional. A similarity statement is written to show the corresponding sides and angles. PQRS ~ ABCD means these two polygons are similar; P corresponds to A, Q corresponds to B, and so on. Similar Polygons If two polygons are similar, then the ratio of the lengths of two corresponding sides is called the scale factor. Example of scale factor: X A B 4 C Y 8 Z Given Theorem 6.1: Perimeter of similar polygons If two polygons are similar, then the ratio of their perimeters is equal to the ratio of their corresponding side lengths. Corresponding lengths in similar polygons: If two polygons are similar, then the ratio of any two corresponding lengths in the polygons is equal to the scale factor of the similar polygons. Example 1: Example 2: Hint: Draw a picture Example 3: Example 4: Example 5: Example 6: Example 7: Homework Page 362 #4-12 evens