y-axis reflection
A y-axis reflection is a transformation in math where a figure or point is reflected across the y-axis
A y-axis reflection is a transformation in math where a figure or point is reflected across the y-axis. In the Cartesian coordinate system, the y-axis is the vertical line that runs through the origin.
To understand a y-axis reflection, imagine a figure or point on one side of the y-axis. When the y-axis reflection is applied, the figure or point is flipped or mirrored across the y-axis to the other side. The distance between the original figure and its reflection remains the same, but the orientation is reversed.
To perform a y-axis reflection, you can follow these steps:
1. Identify the figure or point you want to reflect across the y-axis.
2. Draw a dotted line representing the y-axis (the vertical line passing through the origin).
3. For each point in the figure, measure the perpendicular distance from the point to the y-axis.
4. Move each point the same distance opposite the y-axis, to the other side.
5. Connect the reflected points to form the new figure.
For example, let’s say we have a point A(2, 3) in the Cartesian coordinate system. To reflect this point across the y-axis, we would measure the distance between point A and the y-axis, which is 2 units. Moving 2 units to the other side of the y-axis, the reflected point A’ would be (-2, 3).
It’s important to note that when reflecting figures with complex shapes, you would need to reflect each individual point in the figure across the y-axis.
Overall, a y-axis reflection is a transformation that flips a figure or point across the y-axis, maintaining the same distance but reversing the orientation.
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