Question
Select the correct answer from each drop-down menu.
A preimage includes a line segment with a length of
units and a slope of
units. The preimage is dilated by a scale factor of
.
The length of the corresponding line segment in the image is
A preimage includes a line segment with a length of
The length of the corresponding line segment in the image is
Ask by Savage Schofield. in the United States
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The length of the corresponding line segment in the image is
units.
Solution

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Beyond the Answer
When you dilate a line segment, you multiply its length by the scale factor. So if the preimage has a length of
units and you dilate it by a factor of
, the length of the corresponding line segment in the image will be
units.
Additionally, keep in mind that while the length changes with dilation, the slope
remains constant throughout the transformation. This means that even with a different length, the direction of the line segment stays the same after the dilation!