line AB contains point A (1,2) and point B (-2, -1) find the coordinates of A and B after a dilation with a scale factor of 5 with center point of dilation at the origin
To dilate a point (x, y) by a scale factor of 5 with the center of dilation at the origin, you simply multiply the coordinates of the point by the scale factor.
For point A(1, 2):
x' = 1 * 5 = 5
y' = 2 * 5 = 10
Therefore, after dilation, point A becomes A'(5, 10).
For point B(-2, -1):
x' = -2 * 5 = -10
y' = -1 * 5 = -5
Therefore, after dilation, point B becomes B'(-10, -5).