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Dilations

Dilations. Review. Mrs. Erickson. Dilations. The center of dilation is the origin. Stretching or shrinking Not an isometry. D k (x,y ) = ( kx,ky ). Dilations. y. A’ (2,6). D 2 (x,y ) = (2x,2y) A (1,3)  A’_____ B (3,2)  B’_____ C (2,0)  C’_____ Draw Δ ABC Draw Δ A’B’C’.

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Dilations

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  1. Dilations Review Mrs. Erickson

  2. Dilations The center of dilation is the origin. • Stretching or shrinking • Not an isometry Dk(x,y) = (kx,ky)

  3. Dilations y A’ (2,6) D2(x,y) = (2x,2y) A (1,3)  A’_____ B (3,2) B’_____ C (2,0) C’_____ Draw ΔABC Draw ΔA’B’C’ B’ (6,4) A (1,3) (2,6) (6,4) B (3,2) (4,0) x C (2,0) C’ (4,0)

  4. Dilations y Draw parallelogram E (0,0) F (3,0) G (4,2) H (1,2) Draw parallelogram E’F’G’H’ under D3 10 H’ (3,6) G’ (12,6) H (1,2) G (4,2) F’ (9,0) x F (3,0) -10 10 E (0,0) E’ (0,0) -10

  5. Done! Hey, look outside… … made you look

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