coordinate plane with segment AB located at A 0 comma 2 and B 2 comma 3
segment AB is dilated from the origin to create segment A prime B prime at A′ (0, 6) and B′ (6, 9). What scale factor was segment AB dilated by?
one half
2
3
4
The scale factor for the dilation is 3.
To find this, we calculate the change in the x-coordinate and y-coordinate for point B.
For point B, the change in x-coordinate is 6-2 = 4 and the change in y-coordinate is 9-3 = 6.
Dividing the change in y-coordinate by the change in x-coordinate gives us the scale factor:
scale factor = 6/4 = 1.5 = 3/2
Therefore, the scale factor for the dilation is 3.