A (- 6, 8)
-9
-11-10
-8
-7
-6
-5
-4
-3 -2 -
-2
-3+
-4-
-5-
-6-
-7-
-8-
-10-
-11-
8-
7+
6-
5-
4-
3+
2-
-1+
-0-
10123 1
4
5
6
7
8
9
10
x
B(2, - 4)
B' * (4, - 8)
-9-
-12-
Determine the scale factor used in the dilation of line AB, with a center point of dilation at the origin.
-A (- 3, 4)
To find the scale factor used in the dilation, we need to compare the distances between the original points and the origin to the distances between the dilated points and the origin.
For point A:
Distance from the origin = sqrt((-3)^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5
For the dilated point A':
Distance from the origin = sqrt((-6)^2 + 8^2) = sqrt(36 + 64) = sqrt(100) = 10
Therefore, the scale factor is 10/5 = 2.