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