Reflection over y-axis
To reflect a point, a line, or an entire shape over the y-axis, we need to flip it horizontally
To reflect a point, a line, or an entire shape over the y-axis, we need to flip it horizontally. This means that all the x-coordinates of the original figure will change signs.
Let’s say we have a point A with coordinates (x, y).
When we reflect this point over the y-axis, the x-coordinate will change sign, but the y-coordinate will remain the same. So, the coordinates of the reflected point A’ will be (-x, y).
For example, if point A is (3, 2), its reflection over the y-axis, A’, will be (-3, 2).
If we have a line or a shape, we reflect each individual point that makes up the line or shape.
For instance, consider the line segment AB with points A(4, 3) and B(1, 2).
To reflect this line segment over the y-axis, we apply the same rule. The x-coordinates change sign while the y-coordinates stay the same.
So, the reflected line segment will have points A'(-4, 3) and B'(-1, 2).
To visualize this reflection, you can draw the original shape and then draw a vertical line (the y-axis) through the center of the shape. Then, imagine flipping the shape over this line, and you will see that all the points change their x-coordinates accordingly.
I hope this helps! Let me know if you have any further questions.
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