Exploring How Scale Factor Affects Area
Observe how the area of a geometric figure changes as its side lengths are scaled by different factors.
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Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
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What does the scale factor of lengths slider represent?
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Set the scale factor of lengths to 3. What are the areas of the two figures? Calculate the scale factor of the areas.
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What do you notice about the scale factor of the areas of the two figures with respect to the scale factor of the lengths?
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The scale factor of the lengths of two similar figures is . What is the scale factor of the areas of the two similar figures in terms of ?