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Module 8.3 lesson 3 examples of dilations

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  • Module8.3Lesson3ExamplesofDilations.notebook

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    5/24/25Lesson#33:ExamplesofDilationsHW:Page19#35andCRS18duetomorrow

    Donow:CompletePage12#2usingOasthecenter(notO`)

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    How many points would you need to separate the circle into to draw an accurate dilated image? Page15

    UseCompass

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    How many points would you need to separate the circle into to draw an accurate dilated image? Page15UseCompass

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    How many points would you need to separate the circle into to draw an accurate dilated image? Page15

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

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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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    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: May 23-2:15 PMPage 3: May 23-2:18 PMPage 4: May 23-2:18 PMPage 5: Nov 21-10:21 AMPage 6: Nov 21-10:21 AMPage 7: Nov 21-10:21 AMPage 8: Nov 21-10:26 AMPage 9: Nov 21-10:26 AMPage 10: Nov 21-10:27 AMPage 11: Nov 21-10:27 AMPage 12: Nov 21-10:28 AMPage 13: Nov 21-10:28 AMPage 14: Nov 21-10:28 AMPage 15: Nov 21-10:28 AMPage 16: Nov 21-10:28 AMPage 17: Dec 2-10:00 AMPage 18: Oct 16-9:17 AMPage 19: Oct 16-9:54 AMPage 20: Nov 21-10:34 AMPage 21: Nov 21-10:38 AMPage 22: Nov 21-10:42 AMPage 23: Oct 15-8:26 AMPage 24: Oct 15-8:27 AMPage 25: Oct 15-8:27 AMPage 26: Oct 16-8:14 AMPage 27: Oct 16-8:14 AMPage 28: Oct 16-8:14 AMPage 29: Oct 16-8:14 AMPage 30: Oct 16-8:14 AMPage 31: May 23-2:20 PMPage 32: May 23-2:23 PM