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 a center point of dilation at the origin
To find the coordinates of A' and B' after a dilation with a scale factor of 5 and a center point of dilation at the origin, we can use the following formula:
A' = (sx, sy)
where sx is the x-coordinate of point A multiplied by the scale factor, and sy is the y-coordinate of point A multiplied by the scale factor.
Applying the formula to point A (1, 2):
sx = 1 * 5 = 5
sy = 2 * 5 = 10
So, the coordinates of A' are (5, 10).
Similarly, applying the formula to point B (-2, -1):
sx = -2 * 5 = -10
sy = -1 * 5 = -5
So, the coordinates of B' are (-10, -5).