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9.6: Dilations
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A dilation is an enlargement if the scale factor is greater than 1 and a reduction if the scale factor is between 0 and 1.
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What is the scale factor?
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What is the scale factor?
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For us…center of dilation is always the origin
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What would the new vertices of this image be after a dilation with scale factor 2?
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What would the new vertices of this image be after a dilation with scale factor 1/2?
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19. The image of a button is 6 cm across and 5 times actual size…what is the actual size of the button?
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Break time
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9.7: Similarity Transformations
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What is the series of transformations to bring RST to PYZ?
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What is the series of transformations to bring ABCD to NMPH?
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A similarity transformation is a composition of rigid motions and/or dilations
Two figures are similar if and only if there is a similarity transformation from one figure to the other
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Is there a consistent scale factor?
Why does it work? Are angles congruent? Is there a consistent scale factor?
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Are these circles similar
Are these circles similar? Assume G has a radius of 15 and H has a radius of 12
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Are ALL circles similar?
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Is there a similarity transformation from PAQ to TNO
Is there a similarity transformation from PAQ to TNO? Not enough information?
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What if the shapes aren’t polygons?
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Homework: Section 9.6, pages 590-591: 7-9, 16, 17, 19
Honors: Add 36 Section 9.7, pages : 8, 9, , 15 Honors: Add 17, 18
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9.7
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