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lilly joined three square pattern blocks at their vertices to model the Pythagorean Theorem, as shown in the image below. Based on the information, which statement is true?AThe sum of the areas of Region Y and Region Z is equal to the area of Region X.BThe sum of the areas of Region Z and Region X is equal to the area of Region Y.CThe sum of the areas of Region X and Region Y is greater than the area of Region Z.DThe sum of the areas of Region X and Region Y is equal to the area of Region Z.
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The three squares are built on the sides of a right triangle, so by the Pythagorean Theorem the sum of the areas of the two squares on the legs equals the area of the square on the hypotenuse. Thus the area of X plus the area of Y equals the area of Z.
The three squares are built on the sides of a right triangle, so by the Pythagorean Theorem the sum of the areas of the two squares on the legs equals the area of the square on the hypotenuse. Thus the area of X plus the area of Y equals the area of Z.
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