Question

A coordinate plane with four quadrants shows an x axis capped with arrows ranging from negative 3 to 12 in 1 unit increments and a y axis capped with arrows ranging from 15 to negative 4 in 1 unit increments. Points upper A, upper B, upper A prime, and upper B prime are plotted in quadrant 1. Point upper A is plotted as left parenthesis 9 comma 9 right parenthesis and point upper B is plotted as left parenthesis 6 comma 6 right parenthesis. The points are plotted on a line segment. Point upper A prime is plotted as left parenthesis 3 comma 3 right parenthesis and upper B prime is plotted as left parenthesis 2 comma 2 right parenthesis. The points are plotted on a line segment.
Determine the scale factor used in the dilation of line segment AB
, with a center point of dilation at the origin.

(1 point)

−1/3

−3

3

1/3

Answer 1

1/3

Reason: A (9,9) dilated to A' (3,3) from the origin gives scale factor 3/9 = 1/3 (and B maps similarly: 2/6 = 1/3).