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Question

Draw the first through the fifth generations of squares, triangles

and trapezoids. Count how many of each shape are needed to create each generation.

-Explain the pattern that you have observed. If a pattern does hold for each generation, how many tiles would be required at the 20th generation?
-How do you determine if the generation you are building is similar (by mathematical definition) to the other generations?
-What happens to area when you double the dimensions of a given polygon? Triple them? Describe the pattern and give the value needed for the 20th generation.

Step-by-step answer

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Subject: Geometry, Math

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