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 A(2,5)A(2, 5):

  • The x-coordinate stays as 22.
  • The y-coordinate, 55, becomes 5-5.

Therefore, the coordinates of the point reflected over the x-axis are (2,5)(2, -5).

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:

  1. How would you reflect a point over the y-axis?
  2. What are the coordinates of B(3,7)B(-3, 7) reflected over the x-axis?
  3. How do you reflect a point across the line y=xy = x?
  4. What transformation is applied when both coordinates of a point change sign?
  5. 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