To determine the scale factor used in the dilation of line segment AB, we can compare the distances between the points before and after dilation.
Before dilation:
AB = sqrt((2-1)^2 + (-4-(-3))^2) = sqrt(1 + 1) = sqrt(2)
After dilation:
A'B' = sqrt((8-4)^2 + (-16-(-12))^2) = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)
Since the length of line segment AB was multiplied by 2 during the dilation, the scale factor used was 2.
Determine the scale factor used in the dilation of line segment AB, centered at the origin.
A(1,-3)
B(2,-4)
A'(4,-12)
B'(8,-16)
1 answer