Find the dilation of
0.5
0.5 with center
(
0
,
0
)
(0, 0) for the following points if
�
(
0
,
−
8
)
A (0, −8)
�
(
0
,
8
)
B (0, 8)
The dilation of a point (x, y) with center (h, k) and scale factor r is given by the formula:
(x', y') = (h + (x - h) * r, k + (y - k) * r)
Using this formula, we can find the dilation of point A and B:
For point A (0, -8):
(x', y') = (0 + (0 - 0) * 0.5, 0 + (-8 - 0) * 0.5)
= (0, -4)
The dilation of point A is (0, -4).
For point B (0, 8):
(x', y') = (0 + (0 - 0) * 0.5, 0 + (8 - 0) * 0.5)
= (0, 4)
The dilation of point B is (0, 4).