Determine the scale factor used in the dilation of line segment AB , centered at the origin.
(1 point)
Responses
2
4
1/4
−4
We cannot determine the scale factor used in the dilation of line segment AB centered at the origin without more information.
2,4,1/4,-4
Since the question asks for the scale factor used in the dilation, we need to compare the lengths of the original line segment AB and the dilated line segment AB'.
If the length of AB' is twice the length of AB, then the scale factor is 2.
If the length of AB' is four times the length of AB, then the scale factor is 4.
If the length of AB' is one-fourth the length of AB, then the scale factor is 1/4.
If the length of AB' is negative four times the length of AB, then the scale factor is -4.
Since we do not know the lengths of AB and AB', we cannot determine the scale factor.