Line AB contains point A (1, 2) and B (-2, -1). Find the coordinates of A' and B' after a dilation with a scale factor of 5 with a center point of dilation at the origin.
To find the coordinates of A' after a dilation with scale factor 5 and center of dilation at the origin, we multiply the coordinates of A by the scale factor. Therefore, the coordinates of A' are (5*1, 5*2) = (5, 10).
Similarly, to find the coordinates of B' after the dilation, we multiply the coordinates of B by the scale factor. So the coordinates of B' are (5*(-2), 5*(-1)) = (-10, -5).