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When Garrett realized that all squares were similar to each other, he got very excited. "That means," he proclaimed, "they all have the same area and perimeter too!" What do you think? Is Garrett correct? Explain completely

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Answer and Step-by-step explanation: Garrett is wrong because Similar figures means the figures have the same angles but different side measurements.

Other properties of similar figures are:

  • Corresponding sides are proportional;
  • Corresponding angles are equals;

So, in Garrett's problem, the squares might be similar but they do not have the same area nor perimeter.

They are all proportional to each other, i.e., one might be 2x bigger than the other; or 3x smaller, have an area of 1/4 compared to another, etc.

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