-reflected-over-x-axis.jpeg "(-2 2) Reflected Over X Axis")
Reflection of (-2, 2) over the x-axis
In this article, we will discuss the reflection of the point (-2, 2) over the x-axis.
What is Reflection?
Before we dive into the reflection of (-2, 2) over the x-axis, let's first understand what reflection means. In geometry, reflection is a transformation that flips a point or a shape over a line, called the line of reflection. The line of reflection can be any line, but in this case, we will focus on the x-axis.
Reflection over the x-axis
When a point is reflected over the x-axis, its y-coordinate changes sign, but its x-coordinate remains the same. This means that if a point has coordinates (x, y), its reflection over the x-axis would have coordinates (x, -y).
Reflection of (-2, 2)
Now, let's reflect the point (-2, 2) over the x-axis. To do this, we will change the sign of the y-coordinate, which is 2. The new y-coordinate would be -2.
So, the reflection of (-2, 2) over the x-axis is (-2, -2).
Graphical Representation
Here's a graphical representation of the point (-2, 2) and its reflection over the x-axis:
(-2, 2) ----> reflected over x-axis ----> (-2, -2)
In the graph, the point (-2, 2) is reflected over the x-axis, resulting in the point (-2, -2).
Conclusion
In conclusion, the reflection of (-2, 2) over the x-axis is (-2, -2). This is because the y-coordinate changes sign, but the x-coordinate remains the same. Reflection is an important concept in geometry and is used in various mathematical transformations.
