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: $(x, y) \to (-x, y)$

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.