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​ Trapezoid W′X′Y′Z′ ​ is the image of trapezoid WXYZ under a dilation through point C. What scale factor was used in the dilation?

​ Trapezoid W′X′Y′Z′ ​ is the image of trapezoid WXYZ under a dilation through point C. What scale factor was used in the dilation? class=

Answer :

icedipping
The answer is D as shown in your image.

It's D because the new trapezoid is larger than the original, meaning the value of the dilation has to be larger than 1, and it's on the same side of C as the original, meaning the dilation has to be positive.

The correct answer is:

7/3

Explanation:

The image, W'X'Y'Z', is larger than the pre-image WXYZ.  The new side given to us is 14, compared to the old side of 6; this gives us the ratio

14/6

This can be simplified by dividing top and bottom by 2:

(14÷2)/(6÷2) = 7/3

This is the scale factor.

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