Answer :
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 [tex]\((x, y)\)[/tex], where [tex]\(x\)[/tex] is the x-coordinate and [tex]\(y\)[/tex] is the y-coordinate.
3. Reflection Process:
- When we reflect [tex]\((x, y)\)[/tex] over the y-axis:
- The x-coordinate [tex]\(x\)[/tex] will change to [tex]\(-x\)[/tex].
- The y-coordinate [tex]\(y\)[/tex] will remain the same.
4. Resulting Point:
- After the reflection, the new point will be [tex]\((-x, y)\)[/tex].
5. Conclusion:
- So, the statement "If point [tex]\((x, y)\)[/tex] is reflected over the y-axis, the resulting point is [tex]\((-x, y)\)[/tex]" is accurate.
Thus, the correct answer to the question is True.
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 [tex]\((x, y)\)[/tex], where [tex]\(x\)[/tex] is the x-coordinate and [tex]\(y\)[/tex] is the y-coordinate.
3. Reflection Process:
- When we reflect [tex]\((x, y)\)[/tex] over the y-axis:
- The x-coordinate [tex]\(x\)[/tex] will change to [tex]\(-x\)[/tex].
- The y-coordinate [tex]\(y\)[/tex] will remain the same.
4. Resulting Point:
- After the reflection, the new point will be [tex]\((-x, y)\)[/tex].
5. Conclusion:
- So, the statement "If point [tex]\((x, y)\)[/tex] is reflected over the y-axis, the resulting point is [tex]\((-x, y)\)[/tex]" is accurate.
Thus, the correct answer to the question is True.
