Reflection of a Point over the X-Axis
In this article, we will discuss the reflection of a point over the x-axis, specifically the point (0, 3).
What is Reflection?
Reflection is a transformation that flips a point or a figure over a line, called the line of reflection. In this case, we are reflecting the point (0, 3) over the x-axis.
The Point (0, 3)
The point (0, 3) is a point in the Cartesian coordinate system, where the x-coordinate is 0 and the y-coordinate is 3. This point lies on the y-axis, 3 units above the origin.
Reflection over the X-Axis
To reflect the point (0, 3) over the x-axis, we need to flip it over the x-axis. This means that the y-coordinate of the point changes sign, while the x-coordinate remains the same.
New Coordinates
The new coordinates of the reflected point are (0, -3). This point lies on the y-axis, 3 units below the origin.
Visual Representation
Here is a visual representation of the reflection of the point (0, 3) over the x-axis:
(0, 3) |
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v
(0, -3)
As you can see, the point (0, 3) is reflected over the x-axis to the point (0, -3).
Conclusion
In conclusion, the reflection of the point (0, 3) over the x-axis results in the new point (0, -3). This is a simple yet important concept in geometry and graphing, and it has many applications in mathematics and real-world problems.
