Math Problem Statement
Solution
In the provided image, the task is to reflect point over the -axis.
To reflect a point across the -axis, we change the sign of the -coordinate while keeping the -coordinate unchanged. Let's analyze the coordinates of point and reflect it.
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Coordinates of : From the graph, the coordinates of point appear to be approximately .
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Reflection over the -axis: When reflecting over the -axis, the rule is: Applying this rule to the coordinates , the new coordinates will be:
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New Location of : After the reflection, the image of point will be located at .
Let me know if you'd like more details, or if you have any further questions!
Here are some related questions:
- How do you reflect a point over the -axis?
- What are the coordinates of point after reflecting over the -axis?
- What is the general rule for reflecting a point over the origin?
- How do reflections affect the shape and size of a geometric figure?
- Can you reflect a point over a diagonal line like ? If so, how?
Tip: When reflecting over the -axis, only the sign of the -coordinate changes, not the -coordinate.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Reflections
Formulas
(x, y) → (-x, y) for reflection over the y-axis
Theorems
Reflection Theorem across y-axis
Suitable Grade Level
Grades 7-10