Math Problem Statement
Use the following figure, determine the motion rule that describes the reflection from quadrilateral ABCD to quadrilateral LMNP.
Solution
To determine the motion rule that describes the reflection from quadrilateral to quadrilateral , we need to analyze the figure provided.
Reflection Analysis:
- Notice that the quadrilateral is reflected across the y-axis to form .
- When reflecting a point across the y-axis, the x-coordinate changes sign, while the y-coordinate remains the same. This transformation rule is:
Final Answer:
The correct motion rule is:
Would you like further clarification or steps for solving reflections? Let me know!
Here are related questions to practice:
- How do you determine the motion rule for a reflection across the x-axis?
- What is the transformation rule for reflecting across the origin?
- How do you reflect a shape across the line ?
- What changes occur to the coordinates when reflecting over the line ?
- How can reflections be combined with translations to describe complex motion?
Tip: To reflect any point across a specific axis, focus on the coordinate that changes based on symmetry!
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Math Problem Analysis
Mathematical Concepts
Reflections
Coordinate Geometry
Transformations
Formulas
Reflection across the y-axis: (x, y) → (-x, y)
Theorems
Coordinate Reflection Rules
Suitable Grade Level
Grades 8-10