Mastering Reflection Over Y-Axis: A Step-By-Step Guide For Points, Lines And Shapes

Reflection over y-axis

This is an example of this rigid motion transformation.

Reflection over y-axis means that we are reflecting a point, a line or a shape across the vertical line which is known as the y-axis. This can also be seen as a mirror image of the original point, line or shape.

To reflect a point over the y-axis, we can simply change the sign of the x-coordinate of the point. For example, if we have a point (3, 5), its reflection over the y-axis would be (-3, 5).

To reflect a line or a shape over the y-axis, we can follow these steps:

1. Identify the points or vertices of the line or shape.
2. Find the x-coordinate of each point or vertex.
3. Change the sign of each x-coordinate to its opposite sign.
4. Plot the new points or vertices to create the reflection over the y-axis.

For example, let’s say we have a line defined by two points, (2, 3) and (4, 5). To reflect this line over the y-axis, we would change the sign of the x-coordinates of each point, resulting in (-2, 3) and (-4, 5). We can then plot these points to create the reflected line.

It’s important to note that when reflecting a shape over the y-axis, the orientation of the shape will be reversed. For example, if we reflect a triangle over the y-axis, the triangle will appear to have a different orientation than the original triangle.

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