https://file.aiquickdraw.com/mathbot/file/1727095245359kgnq1s4b.jpg

The problem asks for the image of point \( A(9, 0) \) after being reflected over the line \( y = -x \).

### Reflection over the line \( y = -x \)
To reflect a point \( (x, y) \) over the line \( y = -x \), the coordinates transform as follows:
\[
(x, y) \rightarrow (-y, -x)
\]

### Applying this to \( A(9, 0) \):
For point \( A(9, 0) \), using the transformation rule:
\[
(9, 0) \rightarrow (0, -9)
\]

Thus, the image of point \( A(9, 0) \) after reflection is \( (0, -9) \).

### Answer:
The correct choice is **C. \( (0, -9) \)**.

Would you like more details or have any questions about this reflection process?

### Related questions:
1. How do you reflect a point over the line \( y = x \)?
2. What is the geometric interpretation of reflecting over the line \( y = -x \)?
3. How would the point \( (-3, 7) \) be reflected over the line \( y = -x \)?
4. How does reflection over the \( x \)-axis compare with reflection over the line \( y = -x \)?
5. What is the equation of a line that reflects points symmetrically about the origin?

### Tip:
When reflecting over the line \( y = -x \), remember that both coordinates are swapped and their signs are reversed!

Bayangan titik A (9,0) setelah direfleksikan terhadap garis Y = -X adalah?

Learn how to find the reflection of point A(9,0) over the line y = -x. This problem covers key geometric concepts like reflections in coordinate geometry. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation