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 and a center point of dilation at the origin, we will use the formula for dilation:
For point A(-4,1):
x' = 2 * x
y' = 2 * y
x(A') = 2 * (-4) = -8
y(A') = 2 * 1 = 2
Therefore, the coordinates of A' are (-8,2).
For point B(-1,3):
x(B') = 2 * (-1) = -2
y(B') = 2 * 3 = 6
Therefore, the coordinates of B' are (-2,6).