Sure, let's analyze the reflection of a point over the y-axis step-by-step.
1. Understanding Reflection Over the Y-Axis:
- In a 2-dimensional coordinate plane, if you reflect a point over the y-axis, the y-coordinate remains unchanged, while the x-coordinate changes sign.
2. Original Point:
- Let's denote the original point by \(\((x, y)\)\), where \(\(x\)\) is the x-coordinate and \(\(y\)\) is the y-coordinate.
3. Reflection Process:
- When we reflect \(\((x, y)\)\) over the y-axis:
- The x-coordinate \(\(x\)\) will change to \(\(-x\)\).
- The y-coordinate \(\(y\)\) will remain the same.
4. Resulting Point:
- After the reflection, the new point will be \(\((-x, y)\)\).
5. Conclusion:
- So, the statement "If point \(\((x, y)\)\) is reflected over the y-axis, the resulting point is \(\((-x, y)\)\)" is accurate.
Thus, the correct answer to the question is True.
