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 if dilation at the origin
To find the coordinates of a point after dilation with a scale factor of 2 and the center point at the origin, we multiply each coordinate of the given point by the scale factor.
For point A (-4, 1):
xA' = -4 * 2 = -8
yA' = 1 * 2 = 2
Therefore, the coordinates of A' after dilation are (-8, 2).
For point B (-1, 3):
xB' = -1 * 2 = -2
yB' = 3 * 2 = 6
Therefore, the coordinates of B' after dilation are (-2, 6).