NAME _____________________________________________ DATE ____________________________ PERIOD _____________Chapter 711Glencoe Geometry7-2 Study Guide and InterventionSimilar PolygonsIdentify Similar PolygonsSimilar 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 thecorresponding sides.Use the similarity statement.Congruent angles:∠A≅∠X,∠B≅∠Y,∠C≅∠ZProportion:????=????=????Example 2:Determine whether the pair of figures is similar. If so, write the similarity statement and scale factor.Explain your reasoning.Step 1Compare corresponding angles.∠W≅∠P,∠X≅∠Q,∠Y≅∠R,∠Z≅∠SCorresponding angles are congruent.Step 2Compare corresponding sides.????=128=32,????=1812=32,????=1510=32, and????=96=32.Since corresponding sides are proportional,WXYZ∼PQRS.The polygons are similar with a scale factor of32or23.ExercisesList all pairs of congruent angles, and write a proportion thatrelates the corresponding sides for each pair of similarpolygons.