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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)
Responses

3

1/3

−3

−1/3
I think its 3

Answer 1

You are correct! The scale factor used in the dilation of line segment AB is 3. This can be determined by comparing the lengths of line segment AB and line segment A' B'. Since the length of A'B' is 1/3 of the length of AB, the scale factor is 3.