The correct statement that describes the pre-image is - 'segment BC is located at B (1, 0) and C (1, 3) and is one-half the size of segment B prime C prime.'
What is dilation?
"changing the size of an object or shape by decreasing or increasing its dimensions by some scaling factors."
For given question,
Segment B'C' has endpoints B'(2, 0) and C'(2, 6).
Segment BC was dilated at a scale factor of 2 from the origin.
To find the dilation,
Multiply original dimension by the scaling factor if its getting bigger and divide if its getting smaller.
We know that, if the scale factor is more than 1, then the image stretches.
This means, the image B'C' is larger than the pre-image BC
So, to find the pre-image that is, segment BC, we need to divide the dimensions of the image.
[tex]\Rightarrow B=\frac{1}{2}B'~~~and~~~C=\frac{1}{2}C'\\\\\Rightarrow B=\frac{1}{2}(2,0)~~~and~~~C=\frac{1}{2}(2,6)\\\\\Rightarrow B=(1,0)~~~and~~~C=(1,3)[/tex]
Therefore, the correct statement that describes the pre-image is - 'segment BC is located at B (1, 0) and C (1, 3) and is one-half the size of segment B prime C prime.'
Learn more about the dilation here:
https://brainly.com/question/3885563
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