Find the dilation of 33 with center (0, 0)(0, 0) for the following points if A(1, −8)A(1, −8) B(9, −8)B(9, −8)
The dilation of point A is found by multiplying the coordinates of point A by the scale factor. Since the center of dilation is (0,0), the dilation of point A with a scale factor of 33 is found by multiplying each coordinate of A by 33, resulting in a new point A':
A'(1*33, -8*33) = (33, -264)
Similarly, the dilation of point B with a scale factor of 33 is found by multiplying each coordinate of B by 33, resulting in a new point B':
B'(9*33, -8*33) = (297, -264)
Therefore, the dilation of points A and B are A' = (33, -264) and B' = (297, -264) respectively.