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Dilations
Autor:
Erin Corbin
Dilate this triangle by a scale factor of 2.
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Is this what you got?
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Why does the location matter? Aren't both of the big triangles two times larger than the small triangle?
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Not only is the image two times bigger, it is two times further away from the origin! That is why the location mattered.
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Let's examine this by looking at the slope of each line.
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What if it is dilated by a scale factor of 3? It is three times bigger and three times further away from the origin.
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How would you dilate this triangle by a scale factor of 2 about (-1, 3)?
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Dilate the First Point
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Dilate the Second Point
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Dilate the Third Point
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Examine Slopes.
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Can you identify the center of dilation based on the image and pre-image?
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We know the scale factor is 2, but what is unique about the slope of the lines connecting the image and pre-image points?
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Examine Slopes.
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