3.3+Subdividing+to+find+Rep-tiles

3.3 and Follow Up

Question: The shapes below appear on labsheet 3.3. Try to find a way to divide each shape into four congruent, smaller shapes that are similar to the original shape. For each shape give the scale factor from the smaller shape to the original shape. If you have trouble dividing a shape, experiment by cutting out copies of the shape and putting them together as you did in problem 3.2.

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Follow Up

Question #1: Choose one of the shapes on labsheet 3.3. Divide each small figure within the shape in the same way you divided the original shape. how many of these knew shapes does it take to cover the original shape?

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Question #2: For the shape you subdivided in question one, what is the scale factor from the smallest shape to the original shape?

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Question #3: How does the scale factor from question two relate to the number of smallest shapes it takes to cover the original shape? What is the relationship between the scale factor and the areas of the large and small figures?

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