The scale factor can be determined by comparing the lengths of the original segment AB and the dilated segment A'B'.
The length of segment AB is determined by the coordinates A(1, -3) and B(2, -4). Using the distance formula, we can calculate the length of AB as follows:
AB = √[(2 - 1)^2 + (-4 - (-3))^2]
= √[(1)^2 + (-1)^2]
= √[1 + 1]
= √2
Now, let's find the length of the dilated segment A'B'. The coordinates of A' and B' are given as (1/4, -4) and (2, 4), respectively.
A'B' = √[(2 - 1/4)^2 + (4 - (-4))^2]
= √[(8/4 - 1/4)^2 + (8)^2]
= √[(7/4)^2 + 64]
= √[49/16 + 64]
= √[49/16 + (64)(16)/16]
= √[49/16 + 1024/16]
= √[1073/16]
= √(1073)/√(16)
= √(1073)/4
Therefore, the scale factor used in the dilation of segment AB is √(1073)/4.
Transformation and similarity unit test use the image to answer the question a is one, - 3 b is 2, - 4 a parentheses is for, minus 12 and be parentheses is eight, minus 60 determine the scale factor used in the dilation of the segment AB centered in the origin is at 1/4 - 4 4 or 2
1 answer