Problem 49 of 7
Explain why non-center-passing line y=3 maps to a parallel line under dilation center (0,0), k=2.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
use slope or similar-triangle reasoning.
Hidden until you reveal it.
Line must not contain the center; explanation must justify parallelism.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Map two points on the line.
2. Compare the slope between original points and image points.
3. Conclude the image line is parallel and distinct.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying the image is the same line when the center is not on the original line.