Question

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A dilation has center at the origin. Which of the following is the image of the point P (7/4, -5/2) for a scale factor of 1/7.
Answer choices are shown in the photo.

Answer 1

Answer:

C) D(1/7)(P) = P'(1/4, -5/14)

Step-by-step explanation:

For P(7/4, -5/2) where k=1/7, then we multiply the point components by the scale factor 1/7. Therefore, the new point is P'(1/7(7/4), 1/7(-5/2)) = P'(7/28, -5/14) = P'(1/4, -5/14), making option C correct.