Point Reflection Calculator
Visualize and calculate the reflection of a point across different lines in a coordinate plane.
Enter Point Coordinates and Select Reflection Line
( , )
Reflected Point Coordinates
Reflected Point P' (, )
Visualization
Understanding Point Reflection
In geometry, reflection refers to creating a mirror image of a point or shape across a line, known as the line of reflection. For a point P(x, y), reflection across different lines results in new coordinates:
- Reflection across the x-axis: The x-coordinate remains the same, and the y-coordinate changes sign. P'(x, -y).
- Reflection across the y-axis: The y-coordinate remains the same, and the x-coordinate changes sign. P'(-x, y).
- Reflection across the line y=x: The x and y coordinates are interchanged. P'(y, x).
This tool helps you quickly find the reflected point and visualize it on a 2D plane, making it easier to understand the concept of reflection in coordinate geometry.