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GeometryLesson1ExamplesofDilations.notebook

1

October20,2016

Lesson10:ExamplesofDilations

SupplementalPractice:Page99#24

Donow:Quiz

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How many points would you need to separate the circle into to draw an accurate dilated image? Page95

UseCompass

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How many points would you need to separate the circle into to draw an accurate dilated image? Page95UseCompass

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How many points would you need to separate the circle into to draw an accurate dilated image? Page95

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Would you be able to produce a circle as an image from the number of points used in this example?

Page95

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What's wrong with using these points?

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What about this image. Does it look like a circle?

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The number of points to dilate that is enough is as many as are needed to produce a dilated image that looks like the original. For curved figures, like this circle, the more points you dilate the better. The location of the points you choose to dilate is also

important.

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How many points would you need to separate the circle into to draw an accurate dilated image? Page95

UsingCalculations

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What can we do to map this new triangle, triangle A'B'C', back to the original triangle? Be as specific as possible!

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Reverseadilationbyusingascalefactorthat

isthemultiplicativeinverse(reciprocal)ofthefirstscale

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OriginalDilationscalefactor: 2Scalefactortoreversethedilation:

OriginalDilationscalefactor: 17

Scalefactortoreversethedilation:

OriginalDilationscalefactor: 23

Scalefactortoreversethedilation:

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Step 1- Measure the distances between point O and A and point O and A'.

|OA| = 6 units|OA'| = 2 units

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Step 2- Compare the distances and create an equation! You want to now go from A' to A.

|OA| = 6 units|OA'| = 2 units

Think!!! What can I multiply |OA'| by to give me |OA|.

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Ifafigureisdilatedbyscalefactor,r,tobringthedilatedfigurebacktotheoriginalsize,wemustdilateitbyascalefactorof.

Ifascalefactorisr=6,thenthebringadilatedfigurebacktotheoriginalsize,thescalefactormustequal________.

(reciprocal)

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Page 1: Nov 14-9:08 AMPage 2: Nov 21-10:21 AMPage 3: Nov 21-10:21 AMPage 4: Nov 21-10:21 AMPage 5: Nov 21-10:26 AMPage 6: Nov 21-10:26 AMPage 7: Nov 21-10:27 AMPage 8: Nov 21-10:27 AMPage 9: Nov 21-10:21 AMPage 10: Oct 18-10:29 AMPage 11: Dec 2-10:00 AMPage 12: Oct 16-9:17 AMPage 13: Oct 16-9:54 AMPage 14: Nov 21-10:34 AMPage 15: Nov 21-10:38 AMPage 16: Nov 21-10:42 AMPage 17: Oct 15-8:26 AMPage 18: Oct 15-8:27 AMPage 19: Oct 15-8:27 AMPage 20: Oct 16-8:14 AMPage 21: May 23-2:23 PMPage 22: Oct 18-10:39 AM