https://file.aiquickdraw.com/mathbot/file/1734534852853hrhwv0q2.jpg

To determine the motion rule that describes the reflection of quadrilateral \(ABCD\) to quadrilateral \(LMNP\), we analyze the image provided. 

The two quadrilaterals are **reflected across the y-axis**.

### Reflection Rule Across the y-axis:
When a point \((x, y)\) is reflected across the y-axis, its new coordinates become:
\[
(x, y) \to (-x, y)
\]

This matches the second option provided in the question.

### Final Answer:
The correct motion rule is:
\[
(x, y) \to (-x, y)
\]

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Let me know if you need a step-by-step breakdown or further explanation!

Here are 5 related questions you might find helpful:
1. What is the rule for reflecting a point across the x-axis?
2. How do you reflect a figure across the origin?
3. What happens to coordinates during a reflection over \(y = x\)?
4. How can you describe a reflection using matrices?
5. How do reflections differ from rotations in transformations?

**Tip:** Always analyze symmetry carefully in reflections to determine the correct axis or line of reflection.

Use the following figure, determine the motion rule that describes the reflection from quadrilateral ABCD to quadrilateral LMNP.

Learn how to determine the reflection of quadrilateral ABCD to quadrilateral LMNP across the y-axis. This problem involves coordinate geometry concepts and the reflection rule (x, y) → (-x, y). Suitable for students in Grades 8-10.

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