line AB contains point A(-4, 1) and point B(-1, 3). Find the coordinates of A' and B' after a dilation with a scale factor of 2 with a center point of dilation at the origin.
a A'(8, -2) and B'(2, -6)
b A'(-8, 2) and B'(2, -6)
c A'(-5, -2) and B' (-2, 6)
d A'(-8, 2) and B' (-2, 6)
To find the coordinates of A' and B' after a dilation with a scale factor of 2 and a center point of dilation at the origin, we simply multiply the coordinates of A and B by the scale factor.
The coordinates of A' can be found by multiplying the x-coordinate of A by 2 and the y-coordinate of A by 2: A' = (2*(-4), 2*1) = (-8, 2).
The coordinates of B' can be found by multiplying the x-coordinate of B by 2 and the y-coordinate of B by 2: B' = (2*(-1), 2*3) = (-2, 6).
Therefore, the correct answer is option d) A'(-8, 2) and B' (-2, 6).