Problema Solution
The endpoints of AB are A(2, 2) and B(3, 8). AB is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image A'B' . What are the slope (m) and length of A'B' ? Use the distance formula to help you decide: .
Answer provided by our tutors
The slope of a line does not change.
The slope of AB is:
m = (8 - 2)/(3 - 2)
m = 6
The length expands by the dilation factor.
The length of AB is:
d = sqrt((3 - 2)^2 + (8 - 2)^2))
d = sqrt(37)
The length of A'B' is:
d' = 3.5*sqrt(37)
d' = 21.29