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Geometry Lesson 1 Examples of Dilations.notebook 1 October 20, 2016 Lesson 10: Examples of Dilations Supplemental Practice: Page 99 #24 Do now: Quiz

# Geometry lesson 10 examples of dilations

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Geometry Lesson 1 Examples of Dilations.notebook

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October 20, 2016

Lesson 10: Examples of Dilations

Supplemental Practice:  Page 99 #2­4

Do now:Quiz

Geometry Lesson 1 Examples of Dilations.notebook

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How many points would you need to separate the circle into to draw an accurate dilated image? Page 95

Use Compass

Geometry Lesson 1 Examples of Dilations.notebook

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How many points would you need to separate the circle into to draw an accurate dilated image? Page 95Use Compass

0°160

Geometry Lesson 1 Examples of Dilations.notebook

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How many points would you need to separate the circle into to draw an accurate dilated image? Page 95

0°135

Geometry Lesson 1 Examples of Dilations.notebook

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

Page 95

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What's wrong with using these points?

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Geometry Lesson 1 Examples of Dilations.notebook

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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.

Geometry Lesson 1 Examples of Dilations.notebook

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How many points would you need to separate the circle into to draw an accurate dilated image? Page 95

Using Calculations

Geometry Lesson 1 Examples of Dilations.notebook

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Geometry Lesson 1 Examples of Dilations.notebook

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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!

Page 97

Geometry Lesson 1 Examples of Dilations.notebook

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Reverse a dilation by using a scale factor that

is the multiplicative inverse (reciprocal) of the first scale

Geometry Lesson 1 Examples of Dilations.notebook

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Original Dilation scale factor: 2Scale factor to reverse the dilation:

Original Dilation scale factor: 17

Scale factor to reverse the dilation:

Original Dilation scale factor: 23

Scale factor to reverse the dilation:

Geometry Lesson 1 Examples of Dilations.notebook

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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|.

Geometry Lesson 1 Examples of Dilations.notebook

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If a figure is dilated by scale factor, r, to bring the dilated figure back to the original size, we must dilate it by a scale factor of      .

If a scale factor is r =6, then the bring a dilated figure back to the original size, the scale factor must equal ________.

(reciprocal)

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Page 97

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