Question

ΔJKL is dilated about the origin with a scale factor of 2/3. Which of the following is the image point of K(6,12)?

Answer 1

Answer: (4,8) which is choice A

f = 2/3 is the scale factor

x = 6 and y = 12 pair up to get the coordinates for point K's location

multiply f by x and y to get the new location

f*x = (2/3)*6 = (2/3)*(6/1) = (2*6)/(3*1) = 12/3 = 4

f*y = (2/3)*12 = (2/3)*(12/1) = (2*12)/(3*1) = 24/3 = 8

The results we get are 4 and 8. So (6,12) moves to (4,8)

This scale factor 2/3 = 0.667 is less than 1, so the image is smaller compared to the pre-image.