Math Problem Statement
Solution
To reflect point across the -axis, you need to find the point directly opposite on the other side of the -axis, keeping the same horizontal distance but flipping the vertical coordinate.
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Identify the coordinates of point : If point is at , then its reflection across the -axis will be at .
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Plot the reflected point: If is at , for example, then the reflected point will be .
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Use the pencil tool to plot this point on the graph.
After plotting, check your answer to verify it’s correct.
Would you like more details on this process or have any specific questions?
Here are some related questions to deepen understanding:
- How do you reflect a point across the -axis instead of the -axis?
- What would be the result of reflecting a point across both the - and -axes?
- How do transformations like reflections affect shapes or patterns on a coordinate plane?
- How would you plot a point reflected across a line other than the -axis, such as ?
- Can reflections be combined with other transformations, like rotations or translations?
Tip: When reflecting a point across the -axis, the -coordinate remains the same, while the -coordinate is simply negated.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Reflection
Formulas
Reflection across the x-axis: (x, y) → (x, -y)
Theorems
Reflection Theorem
Suitable Grade Level
Grades 6-8