https://file.aiquickdraw.com/mathbot/file/1729088529121c3eaa372.jpg

The problem asks to reflect the point \( (6, -6) \) across the line \( x = 0 \) and determine the new \( x \)-value.

### Reflection across the line \( x = 0 \):
- When reflecting a point across the line \( x = 0 \) (the y-axis), the \( x \)-coordinate changes its sign, while the \( y \)-coordinate remains the same.

Thus:
- The original point is \( (6, -6) \).
- After reflection, the new point is \( (-6, -6) \).

### Final Answer:
The \( x \)-value after the reflection is \( \mathbf{-6} \).

Would you like more details or have any questions?

Here are 5 related questions you can consider:
1. What happens when reflecting a point across the y-axis versus the x-axis?
2. How does the reflection change for points on the y-axis itself?
3. Can you describe the effect of reflecting a point across the origin?
4. What is the general rule for reflecting points over any vertical line \( x = a \)?
5. How does the distance from the reflection line influence the new point's location?

**Tip:** When reflecting across vertical or horizontal lines, only the coordinate corresponding to that axis changes sign. The other coordinate remains unaffected!

What is the x value after performing the reflection of the point (6, -6) across the line x = 0?

Understand how to reflect the point (6, -6) across the line x = 0 on a coordinate plane. Learn the effects of symmetry across vertical lines and determine the new coordinates. This exercise covers key geometry concepts, including reflections and coordinate transformations. 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