Question

Under a dilation where the center of dilation is the origin,

the image of A(-2,-3) is A '(-6,-9). What are the coordinates
of B', image of B(4,0) under the same dilation?
A) (-4,0)
B) (-12,0)
C) (12,0)
D) (4,0)

Answer 1

Answer: C) (12,0)

Step-by-step explanation:

When going from A(-2,-3) to A '(-6,-9), we multiplied both coordinates by the scale factor 3. In other words, we tripled the coordinates.

• x coordinate: -2*3 = -6
• y coordinate: -3*3 = -9

Do the same thing to the coordinates of point B.

• x coordinate: 4*3 = 12
• y coordinate: 0*3 = 0

Therefore we arrive at (12, 0) as the final answer. This is choice C.