Question

A dilation has center (0, 0). Find the image of each point for the given scale factor. C(3, -6); D(5/3) (C)

A. (-10, 5)
B. (18/5, 9/5)
C. (5, -10)
D. (9/5, 18/5)

Answer 1

Answer: C. (5, -10)

Step-by-step explanation:

When we have a point (x, y) and we do a dilation around (0,0) with a scale factor of A.

The new point will be:

(A*x, A*y)

in this case, the point is (3, -6) and the scale factor is (5/3)

Then the new point will be:

(3*(5/3), -6*(5/3)) = (5, -10)