Question
How do I reflect a point across the y-axis in geometry?
Answers
GPT-4o mini
To reflect a point across the y-axis in geometry, you follow a simple rule regarding the coordinates of the point.
If you have a point represented by its coordinates \((x, y)\):
1. **Change the sign of the x-coordinate** while keeping the y-coordinate the same.
2. The reflected point across the y-axis will then be \((-x, y)\).
For example:
- If you start with the point \((3, 2)\), its reflection across the y-axis would be \((-3, 2)\).
- If you start with the point \((-5, 4)\), its reflection across the y-axis would be \((5, 4)\).
This rule applies to any point in the Cartesian coordinate system.
If you have a point represented by its coordinates \((x, y)\):
1. **Change the sign of the x-coordinate** while keeping the y-coordinate the same.
2. The reflected point across the y-axis will then be \((-x, y)\).
For example:
- If you start with the point \((3, 2)\), its reflection across the y-axis would be \((-3, 2)\).
- If you start with the point \((-5, 4)\), its reflection across the y-axis would be \((5, 4)\).
This rule applies to any point in the Cartesian coordinate system.