Question

Find the dilation of
4
4 with center
(
0
,

0
)
(0, 0) for the following points if
�
(
9
,

−
6
)
A(9, −6)
�
(
−
8
,

7
)
B(−8, 7)

Answer 1

To find the dilation of point A and B with center (0, 0) and dilation factor 4, we can multiply the coordinates of each point by the dilation factor.

For point A (9, -6):
Dilation of x-coordinate: 4 * 9 = 36
Dilation of y-coordinate: 4 * -6 = -24
So the dilation of point A is (36, -24).

For point B (-8, 7):
Dilation of x-coordinate: 4 * -8 = -32
Dilation of y-coordinate: 4 * 7 = 28
So the dilation of point B is (-32, 28).

Therefore, the dilation of point A is (36, -24) and the dilation of point B is (-32, 28).