Find the dilation of 3 with center (0, 0) for the following points if A (9, 8) B (8, −9)
To find the dilation of a point with a center and a scale factor, we will multiply the x-coordinate and y-coordinate of each point by the scale factor.
The dilation of point A with a scale factor of 3 and center (0, 0) is:
x-coordinate: 9 * 3 = 27
y-coordinate: 8 * 3 = 24
So the new coordinates for point A after dilation are (27, 24).
Similarly, the dilation of point B with a scale factor of 3 and center (0, 0) is:
x-coordinate: 8 * 3 = 24
y-coordinate: -9 * 3 = -27
So the new coordinates for point B after dilation are (24, -27).