Question

The end points 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 A1B1. What are the slope (m) and the length A1B1

Answer 1

• m = 6
• length = 3.5√37

Explanation:

Dilation does not change the slope, so it remains ...

m = ∆y/∆x = (8-2)/(3-2) = 6/1

m = 6

The length is multiplied by the dilation factor. The original length (d) is given by ...

d = √((∆x)^2 +(∆y)^2) = √(1^2 +6^2) = √37

Then the dilated length is ...

3.5d = 3.5√37 ≈ 21.290