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Geometry 6.3 Similar Polygons Notes Big Idea: February 10, 2016 Agenda: What are similar polygons? What is the least amount of information needed to prove that triangles are similar? -You will evaluate the lengths of sides and measures of angles by applying the definition of similar polygons - You will compare the ratio of corresponding sides of similar polygons to the ratio of their perimeters. Foldable Similar Polygons Practice with similar polygons Proving triangles similar HW #6.3/6.4 1 Geometry 6.3 Similar Polygons Notes February 10, 2016 2/10 Warm-Up 1. 2. 2 Geometry 6.3 Similar Polygons Notes February 10, 2016 How do the angles compare? How do the sides compare? B Q R C P A These are similar triangles 3 Geometry 6.3 Similar Polygons Notes February 10, 2016 B Q C R P A 4 Geometry 6.3 Similar Polygons Notes February 10, 2016 Let's make a foldable... 5 Geometry 6.3 Similar Polygons Notes February 10, 2016 6 Geometry 6.3 Similar Polygons Notes February 10, 2016 Determine whether the following pairs of polygons are similar. If they are similar, write a similarity statement. 7 Geometry 6.3 Similar Polygons Notes February 10, 2016 p. 109 in practice workbook 8 Geometry 6.3 Similar Polygons Notes February 10, 2016 1) Find a scale factor 2) Write a proportion match up like things 3) Solve the proportion 9 Geometry 6.3 Similar Polygons Notes February 10, 2016 Please complete the following problems in your PW on p.110. What is perimeter? 10 Geometry 6.3 Similar Polygons Notes February 10, 2016 If triangles are similar, all corresponding segments have the same ratio. These are altitudes These are medians 11 Geometry 6.3 Similar Polygons Notes February 10, 2016 One paper per person - only one paper will be evaluated. 1. Find the values of x and y. 2. Find the perimeters of the two triangles. 3. Find the areas of the two triangles. 4. Find the ratio 5. Find the ratios of the perimeters and the ratios of the areas. How do these compare to the ratio in #4? 12 Geometry 6.3 Similar Polygons Notes 2/10 #6.3 (PW)p.109111: 322 February 10, 2016 Similar Polygons 13