Dilations Review

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CAT∼DOG

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A rectangular tin sign comes in three sizes, small, medium, and large. All three have similar shapes. If the sides of the smallest sign are tripled to create the largest sign, which statement is true?

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The perimeter of the larger sign is three times the perimeter of the smaller sign.

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Rule of dilation for triangle ABC with A(2,8), B(4,6), C(6,-4) to A'(1,4), B'(2,3), C'(3,-2)

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The image of XYZ is smaller than the pre-image.

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Rectangle GHJK has coordinates (4, -2), (4,3), (2, -2) and (2,3). If GHJK is dilated with a scale factor of 7, which of the following coordinates could be from rectangle G'H'J'K'? Options: (28, -28), (14, -14), (4, 21), (9, 10)

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(14, -14)

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A dilation by a scale factor of 5

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Triangle TRW was dilated using the origin as the center of dilation to create triangle XYZ. If a scale factor of 4 is used, what will be the value x-coordinate for point Z?

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16