Determine the scale factor used in the dilation of line segment AB , with a center point of dilation at the origin.

Question

Determine the scale factor used in the dilation of line segment AB , with a center point of dilation at the origin.

(it shows the 4 quadrant thing, but its zoomed in on the top right quadrant, it has 2 pairs of 2 circles, first pair is A and B, A is located at (9, 9) B is at (6, 6), the second pair is 'A and 'B! 'A is located at (3, 3) while 'B is at (2, 2), each pair is connected by a rope (aka, 'A and 'B are connected by an orange rope))

1/3
3
-1/3
-3

Answer 1

The scale factor used in the dilation of line segment AB is 1/3. This is because the distance between the original points A and B is 3 units (9-6=3) and the distance between the dilated points 'A and 'B is 1 unit (3-2=1), indicating a scale factor of 1/3.