Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

1 point
If point (x, y) is reflected over the y-axis, the resulting point is (-x, y).
True
False

Sagot :

GinnyAnswer
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.
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.