Determine the scale factor used in the dilation of line segment AB, centered at the origin.
(It shows the bottom right quadrant of a 4 quadrant graph, the bottom right quadrant on the top of it, it has 1 to 12 (also known as x) and on the side it has -1 to -16. and it shows 2 pairs of 2 circles, and their labeled! one of the pair, one is labeled A and B, A is at (1, -3) and B is at (2, -4), now for the second pair, their labeled too, their also labeled A and B. The second A is at (4, -12) and the second B is at (8 -16)
2
4
−4
1/4
The scale factor used in the dilation of line segment AB is 2.
This can be determined by looking at the distances between the points of the original segment AB and the corresponding points of the dilated segment AB. For example, the distance between point A (1, -3) and point B (2, -4) is sqrt[(2-1)^2 + (-4-(-3))^2] = sqrt(2) which is doubled in the dilated segment to sqrt[(8-4)^2 + (-16-(-12))^2] = 2sqrt(2).
Therefore, the scale factor is 2.