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.(1 point)
To find the coordinates of a point after a dilation with a scale factor of 5 and a center point of dilation at the origin, we can multiply the coordinates of the original point by the scale factor.
Coordinates of A′:
x-coordinate: 1 * 5 = 5
y-coordinate: 2 * 5 = 10
So, A′ has coordinates (5, 10).
Coordinates of B′:
x-coordinate: -2 * 5 = -10
y-coordinate: -1 * 5 = -5
So, B′ has coordinates (-10, -5).