given square RSTV, where RS= 9cm. If square RSTV is dialated by a scale factor of 3 about a given center, what is the perimeter,in centimeters, of the image of RDTC after the dialation? A: 12cm.B: 27cm C: 36cm D:108cm

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Answer:

D: 108 cm

Step-by-step explanation:

Use your test-taking skill to eliminate the other answers. The perimeter of the given square is (9 cm)×4 = 36 cm. None of the other answers can possibly be correct for a square that is made larger by dilation.

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Every linear measure is increased by the dilation factor. If side lengths are multiplied by 3, then the perimeter is multiplied by 3.

... 3×36 cm = 108 cm

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Another way to ge there is to realize the side length is multiplied by 3, so in the larger square is 3×9 cm = 27 cm. The perimeter is the the sum of the 4 equal sides, so is ...

... 4×27 cm = 108 cm

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