To determine the scale factor of the dilation, we determine the distances between the endpoints of the two lines through the equation, d = √(x₂ - x₁)² + (y₂ - y₁)² Substituting the known values.
Line Segment 1: d = √(1 - 2)² + (4 - 8)² = 4.123
Line Segment 2: d = √(18 - 14)² + (12 - 1)² = 11.70
