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Quadrilateral KLMN is dilated by a scale factor of 2/3 to form quadrilateral K'L'M'N'. What is the measure of side NK?

Quadrilateral KLMN is dilated by a scale factor of 2/3 to form quadrilateral K'L'M-example-1

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Answer:

NK = 42

Explanation:

Scale factor of dilating KLMN to form K'L'M'N' = ⅔. This fraction implies there was a reduction of the original shape to form the new image/shape.

NK corresponds to N'K'

N'K' = 28

To get the NK, divide 28 by the scale factor.

28 ÷ ⅔ = 28*³/2 = 42

NK = 42

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