Math Problem Statement
What are the coordinates of a point A(2, 5) reflected over the x-axis?
Solution
To reflect a point over the x-axis, the x-coordinate remains the same, and the y-coordinate changes its sign.
For the point :
- The x-coordinate stays as .
- The y-coordinate, , becomes .
Therefore, the coordinates of the point reflected over the x-axis are .
The correct answer is the one in blue: (2, -5).
Would you like more details, or do you have any questions?
Here are 5 related questions:
- How would you reflect a point over the y-axis?
- What are the coordinates of reflected over the x-axis?
- How do you reflect a point across the line ?
- What transformation is applied when both coordinates of a point change sign?
- How does reflecting over the origin differ from reflecting over the axes?
Tip: When reflecting a point over the x-axis, only the y-coordinate changes sign!
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Reflections
Transformations
Formulas
(x, y) → (x, -y) for reflection over the x-axis
Theorems
Reflection Theorem
Suitable Grade Level
Grades 6-8