Question

A dilation has center (0,0). Find the image of the point B ( 5/3, -7/2) for the scale factor 1/3​

Answer 1

Answer:   (5/9,  -7/6)

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Explanation:

Since the center of dilation is (0,0), we multiply each coordinate of point B by the scale factor 1/3.

The coordinates of point B are x = 5/3 and y = -7/2

So we have

(1/3)*x = (1/3)*(5/3) = (1*5)/(3*3) = 5/9 as the new x coordinate

and

(1/3)*y = (1/3)*(-7/2) = (1*(-7))/(3*2) = -7/6 as the new y coordinate

The point (5/3, -7/2) moves to (5/9,  -7/6)