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NAME _____________________________________________ DATE ____________________________ PERIOD _____________ 7-2 Guided Notes Similar Polygons Identify Similar Polygons Similar polygons have the same shape but not necessarily the same size. Example 1: If △ABC ∼ △XYZ, list all pairs of congruent angles and write a proportion that relates the corresponding sides. Use the similarity statement. Congruent angles: Proportion: Example 2: Determine whether the pair of figures is similar. If so, write the similarity statement and scale factor. Explain your reasoning. Step 1 Compare corresponding angles. Step 2 Compare corresponding sides. Scale Factor = Exercises List all pairs of congruent angles, and write a proportion that relates the corresponding sides for each pair of similar polygons. 1. △DEF ∼ △GHJ 2. PQRS ∼ TUWX Determine whether each pair of figures is similar. If so, write the similarity statement and scale factor. If not, explain your reasoning. 3. Chapter 7 4. 12 Glencoe Geometry NAME _____________________________________________ DATE ____________________________ PERIOD _____________ 7-2 Guided Notes (continued) Similar Polygons Use Similar Figures You can use scale factors and proportions to find missing side lengths in similar polygons. Example 2: If △DEF ∼ △GHJ, find the scale factor of Example 1: The two polygons are similar. Find x and y. △DEF to △GHJ and the perimeter of each triangle. Exercises Each pair of polygons is similar. Find the value of x. 1. 2. 3. 4. 5. If ABCD ∼ PQRS, find the scale factor of ABCD to PQRS and the perimeter of each polygon. Chapter 7 13 Glencoe Geometry