-reflected-over-the-x-axis.jpeg "(-2 5) Reflected Over The X Axis")
Reflection of a Point over the X-Axis
In this article, we will explore the concept of reflecting a point over the x-axis. Specifically, we will look at the reflection of the point (-2, 5) over the x-axis.
What is Reflection?
Reflection is a type of transformation that involves flipping an object over a line, known as the axis of reflection. In this case, we are interested in reflecting a point over the x-axis.
Reflection over the X-Axis
When we reflect a point over the x-axis, we are essentially flipping it over the horizontal line y = 0. This means that the x-coordinate of the point remains the same, while the y-coordinate changes sign.
Reflection of (-2, 5)
Let's apply this concept to the point (-2, 5). To reflect this point over the x-axis, we will change the sign of the y-coordinate, which is 5.
The reflected point would be: (-2, -5)
Graphical Representation
Here's a graphical representation of the point (-2, 5) and its reflection over the x-axis:
Before Reflection
- (-2, 5)
After Reflection
- (-2, -5)
In the graph, the point (-2, 5) is represented by a blue dot, and its reflection is represented by a red dot.
Conclusion
In conclusion, reflecting a point over the x-axis involves changing the sign of the y-coordinate while keeping the x-coordinate the same. In the case of the point (-2, 5), its reflection over the x-axis is (-2, -5).
