(2 2) Reflected Over Y Axis

3 min read Jul 03, 2024

Reflected (2, 2) over the Y-Axis

What is Reflection?

In geometry, a reflection is a transformation that flips a figure over a line, called the line of reflection or the axis of reflection. The reflected image is a mirror image of the original figure, with the same size and shape but reversed.

Reflecting (2, 2) over the Y-Axis

Now, let's talk about reflecting the point (2, 2) over the Y-axis.

The Y-axis is the vertical axis on a coordinate plane. When we reflect a point over the Y-axis, we change the sign of the x-coordinate, while keeping the y-coordinate the same.

So, to reflect the point (2, 2) over the Y-axis, we change the x-coordinate from 2 to -2, and keep the y-coordinate as 2.

Reflected Point: (-2, 2)

The reflected point is (-2, 2), which is the mirror image of the original point (2, 2) over the Y-axis.

Graphical Representation

Here's a graphical representation of the reflection:

  y
  ^
  |
  |
  |
  +-----------+
  |          |
  |  (2, 2)  |
  |          |
  +-----------+
  |
  |
  |
  v
  x

  y
  ^
  |
  |
  |
  +-----------+
  |          |
  | (-2, 2)  |
  |          |
  +-----------+
  |
  |
  |
  v
  x

In this graph, the original point (2, 2) is on the right side of the Y-axis, and the reflected point (-2, 2) is on the left side of the Y-axis, with the same y-coordinate but opposite x-coordinate.

Conclusion

In conclusion, reflecting the point (2, 2) over the Y-axis results in the reflected point (-2, 2), which is the mirror image of the original point over the Y-axis.