Respuesta :
Answer:
YZ is located at Y (0, 1) and Z (-2, 1) and is one-third the size of Y'Z'.
Step-by-step explanation:
Since Y'Z' was dilated from the origin at a scale factor of 3, you can divide its X and Y coordinates by 3 to find the coordinates of YZ.
The statement fourth "segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime" is correct.
What is dilation?
The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
The question is incomplete.
The complete question is:
Segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3). segment YZ was dilated at a scale factor of 3 from the origin. Which statement describes the pre-image?
- segment YZ is located at Y (0, 9) and Z (−18, 9) and is three times the size of segment Y prime Z prime.
- segment YZ is located at Y (0, 3) and Z (−6, 3) and is the same size as segment Y prime Z prime.
- segment YZ is located at Y (0, 1.5) and Z (−3, 1.5) and is one-half the size of segment Y prime Z prime.
- segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime.
As we know, in the dilation image of the two-dimensional figure can be larger or smaller depending on the dilation factor.
We have:
segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3).
After dilation:
Y (0, 1) and Z (−2, 1)
Thus, the statement fourth "segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime" is correct.
Learn more about the dilation here:
brainly.com/question/13176891
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