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9.6: Dilations. 9.6: Dilations A dilation is an enlargement if the scale factor is greater than 1 and a reduction if the scale factor is between.

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Presentation on theme: "9.6: Dilations. 9.6: Dilations A dilation is an enlargement if the scale factor is greater than 1 and a reduction if the scale factor is between."— Presentation transcript:

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2 9.6: Dilations

3 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.

4 What is the scale factor?

5 What is the scale factor?

6 For us…center of dilation is always the origin

7 What would the new vertices of this image be after a dilation with scale factor 2?

8 What would the new vertices of this image be after a dilation with scale factor 1/2?

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10 19. The image of a button is 6 cm across and 5 times actual size…what is the actual size of the button?

11 Break time

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13 9.7: Similarity Transformations

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15 What is the series of transformations to bring RST to PYZ?

16 What is the series of transformations to bring ABCD to NMPH?

17 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

18 Is there a consistent scale factor?
Why does it work? Are angles congruent? Is there a consistent scale factor?

19 Are these circles similar
Are these circles similar? Assume G has a radius of 15 and H has a radius of 12

20 Are ALL circles similar?

21 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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23 What if the shapes aren’t polygons?

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25 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

26 9.7

27 `


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