Geometric Transformations
description
Transcript of Geometric Transformations
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Geometric Transformations
Dilations & Reductions
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Definitions
• Dilation: transformation that produces an image that is the same shape as the original, but a different size
• Enlargement: image bigger than the preimage• Reduction: image smaller than the preimage• Scale factor: how much the preimage changes• Center of dilation: self explanatory—the
center of the preimage/image
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Example
Draw the dilation of ∆ABC with vertices A(-1,-1), B(0,2), C(1,-2), with the center of dilation at the origin and a scale factor of 3.
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Example
Draw the dilation of ∆EFG with vertices E(0,0), F(0,6), G(8,0), center of dilation at E, and scale factor of ½ .
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Example
Draw ABCD: A(1,1), B(5,1), C(1,5), D(5,5)
Dilate by a scale factor of ½.Translate 3 up, 4 left.Reflect over the y-axis.
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Example
Draw JKLM: J(2,-2), K(1,1), L(-2,-3), M(0,-5)
Reflect over the y-axis.
Rotate 180 degrees around the origin.