Line segment ab has endpoints a(1, 4) and b(2, 8) . a dilation, centered at the origin, is applied to ab . the image has endpoints a′(18, 12) and b′(14, 1) . what is the scale factor of the dilation? 1/8 1/2 2 8

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

Dividing the answers will give us 0.352

P(chicago, illinois)