Problem 38 of 7
Explain why a line through dilation center (0,0) is unchanged by dilation.
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reason every image point stays on same ray from center.
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Explanation must use ray or coordinate scaling from the dilation center.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. State that dilation sends each point along a ray from the center.
2. Use the fact the line already contains those rays.
3. Conclude the image set is the same line.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying the line is unchanged because its length is unchanged; lines are infinite.