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
To find the coordinates of A' and B' after a dilation with a scale factor of 2 with the center point of dilation at the origin, we can multiply the coordinates of each point by the scale factor.
For point A:
x-coordinate of A' = scale factor * x-coordinate of A = 2 * (-4) = -8
y-coordinate of A' = scale factor * y-coordinate of A = 2 * 1 = 2
Therefore, A' has coordinates (-8, 2).
For point B:
x-coordinate of B' = scale factor * x-coordinate of B = 2 * (-1) = -2
y-coordinate of B' = scale factor * y-coordinate of B = 2 * 3 = 6
Therefore, B' has coordinates (-2, 6).