Question

Determine points S(-1,4), T(2,3), R(-1,0), and U(2,-1) after it has been dilated by k = 2

Answer 1

To dilate a point by a factor of k, we multiply the x and y coordinates of the point by k.

For point S(-1, 4), when dilated by k = 2:
x-coordinate: -1 * 2 = -2
y-coordinate: 4 * 2 = 8
So, the dilated coordinates of point S are (-2, 8).

For point T(2, 3), when dilated by k = 2:
x-coordinate: 2 * 2 = 4
y-coordinate: 3 * 2 = 6
So, the dilated coordinates of point T are (4, 6).

For point R(-1, 0), when dilated by k = 2:
x-coordinate: -1 * 2 = -2
y-coordinate: 0 * 2 = 0
So, the dilated coordinates of point R are (-2, 0).

For point U(2, -1), when dilated by k = 2:
x-coordinate: 2 * 2 = 4
y-coordinate: -1 * 2 = -2
So, the dilated coordinates of point U are (4, -2).