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Trapezoid MNOP is dilated by a scale factor of 2 to form trapezoid M^(')N^(')O^(')P^('). Side NO measures 29 . What is the measure of side N^(')O^(') ? Answer:

Trapezoid MNOP is dilated by a scale factor of 22 to form trapezoid M′N′O′P′ \mathrm{M}^{\prime} \mathrm{N}^{\prime} \mathrm{O}^{\prime} \mathrm{P}^{\prime} . Side NO measures 2929 . What is the measure of side N′O′ \mathrm{N}^{\prime} \mathrm{O}^{\prime} ?\newlineAnswer:

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Q. Trapezoid MNOP is dilated by a scale factor of 22 to form trapezoid M′N′O′P′ \mathrm{M}^{\prime} \mathrm{N}^{\prime} \mathrm{O}^{\prime} \mathrm{P}^{\prime} . Side NO measures 2929 . What is the measure of side N′O′ \mathrm{N}^{\prime} \mathrm{O}^{\prime} ?\newlineAnswer:
  1. Definition of Dilation: A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The scale factor determines how much larger or smaller the image will be compared to the original figure. In this case, the scale factor is 22, which means that all lengths in the original trapezoid MNOPMNOP will be doubled in the dilated trapezoid M′N′O′P′M'N'O'P'.
  2. Calculate Side N'O': To find the measure of side N'O' after the dilation, we simply multiply the length of side NO by the scale factor. Given that side NO measures 2929 units, we calculate the length of side N'O' as follows:\newlineN′O′=NO×scale factorN'O' = NO \times \text{scale factor}\newlineN′O′=29×2N'O' = 29 \times 2
  3. Find Length of N'O': After performing the multiplication, we find that the length of side N'O' is: N′O′=58N'O' = 58 units

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