Dialations
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Dialations, or dilations, are geometric transformations that enlarge or reduce the size of a figure by scaling it from a fixed center point. The document provides examples of dialating triangles and finding the image of points under different dilation rules. It also asks students to find the constant of dilation for mappings between points.
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Dialations
- 1. Aim: What are dialations? MB43 2/26/09 Lomas Do Now: Rotate ABC by R 90 A translation maps the (0,-3) to (5,-1). What is the image of (0,7) under the same translation? 1) 2) HW Review: 18,24 3) Solve for x: 4 = 3 x A B C HW: Read 575-8 Do 579 #2-10even, 16, 19, 25-29
- 2. Write a description of what you think a dialation is (full sentence) Aim: What are dialations? MB43 2/26/09 Lomas HW: Read 575-8 Do 579 #2-10even, 16, 19, 25-29
- 3. Function Rule for Dialations: P(x,y) P'(kx,ky) D k Aim: What are dialations? MB43 2/26/09 Lomas HW: Read 575-8 Do 579 #2-10even, 16, 19, 25-29
- 4. Dialate the triangle with vertices: (-3,2),(3,4), & (-3,-5) by 2 The point defined by (3,-5) is dialated by D -3 Find the constant of dialation that maps (3,-1) to (-15,5) Find D 遜 (6,-8) Dialate (-4,2) & (-2,4) by D -3 1) 2) 3) 4) 5) 6) Dialate (-4,0) by -6 7) Use the rule (x,y) (3x,3y) to find the image of (-3,2) 8) Aim: What are dialations? MB43 2/26/09 Lomas Find the constant of dialation that maps (9,0) to (6,0) HW: Read 575-8 Do 579 #2-10even, 16, 19, 25-29
- 5. Aim: What are translations? MB43 2/24/09 Lomas HW: Read 560-572 Do 572-5 #21-25, 29-37odd