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Dilations on and off the Coordinate Plane In this lesson, you will dilate figures on and off the coordinate plane. You will use scale factors greater than 1 to make enlargements, and scale factors less than 1 to make reductions. You will use centers of dilation of the origin as well as other centers of dilation. 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Use a scale factor of 3 to dilate trapezoid KLMNover the origin. K L L (0, 2) M N L' ( , ) 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Use a scale factor of 3 to dilate trapezoid KLMNover the origin. K L M (3, 2) → M' ( , ) M N 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Use a scale factor of 3 to dilate trapezoid KLMNover the origin. K L N (3, -1) → N' ( , ) M N 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Use a scale factor of 3 to dilate trapezoid KLMNover the origin. K L K (-2, -1) → K' ( , ) M N 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Use a scale factor of ½ to dilate rectangle EFGHover the origin. E (0, 0) → E' ( , ) E H G F 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Use a scale factor of ½ to dilate rectangle EFGHover the origin. F (10, 0) → F' ( , ) E H G F 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Use a scale factor of ½ to dilate rectangle EFGHover the origin. G → G' ( , ) E H G F 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Use a scale factor of ½ to dilate rectangle EFGHover the origin. H → H' ( , ) E H G F 3 B A To find the scale factor of a dilation, write a ratio of: the image to the original.Write the ratio in simplest form. How to determine the Scale Factor! 4 5 C B' 6 A' Scale Factor: 8 10 C' 3 in D F E 9 in D' F' Find the scale factor: (reduce) ORIGINAL IMAGE E' = 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 ORIGINAL Find the scale factor: (reduce) IMAGE = T V V' T' R' S' R S Find the scale factor: Δ PSU is a dilation of Δ RST. 8 ½ 16 2 R 8 P 8 S U T 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 (1,1) over a center of dilation with coordinates (1, 1). Dilate Point P using a scale factor of 3, P (3, 2) Determine the coordinates of image point P': |