For each coordinate point (x, y), the x-value becomes its opposite. Were it positive, it becomes negative, and vice versa. The y-value remains the same. In other words, each point (x, y) becomes (-x, y).
When you reflect a figure across the x-axis, the x-coordinates of the points remain the same, while the y-coordinates change sign. This means that if a point is at (x, y), its reflection across the x-axis will be at (x, -y).
To rotate a point 180 degrees counterclockwise about the origin, you can simply change the signs of both the x and y coordinates of the point. For example, if the original point is (x, y), after the rotation, the new coordinates will be (-x, -y). This effectively reflects the point across the origin.
Rise over run, generally change in y-coordinates divided by change in x-coordinates.
Reflecting points across the x-axis involves flipping them vertically, meaning that if a point has coordinates (x, y), its reflection will be at (x, -y). Conversely, reflecting points across the y-axis involves flipping them horizontally, resulting in the coordinates changing from (x, y) to (-x, y). These transformations change the position of points in a Cartesian coordinate system while preserving their distance from the axes.
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When you reflect a figure across the x-axis, the x-coordinates of the points remain the same, while the y-coordinates change sign. This means that if a point is at (x, y), its reflection across the x-axis will be at (x, -y).
To reflect a point across the origin, you simply change the sign of both the x- and y-coordinates of the point. This transformation involves multiplying the coordinates by -1.
To rotate a point 180 degrees counterclockwise about the origin, you can simply change the signs of both the x and y coordinates of the point. For example, if the original point is (x, y), after the rotation, the new coordinates will be (-x, -y). This effectively reflects the point across the origin.
y' = y, x' = -x.
If your points are (p,f), they become (p,-f).
Reflection across the y-axis changes the sign of the x - coordinate only, that is, (x, y) becomes (-x, y).
Rise over run, generally change in y-coordinates divided by change in x-coordinates.
The y-coordinates.The y-coordinates.The y-coordinates.The y-coordinates.
Ireland's geographic coordinates are 53 00 N, 8 00 W. Coordinates change over the years as the earth moves.
Reflecting points across the x-axis involves flipping them vertically, meaning that if a point has coordinates (x, y), its reflection will be at (x, -y). Conversely, reflecting points across the y-axis involves flipping them horizontally, resulting in the coordinates changing from (x, y) to (-x, y). These transformations change the position of points in a Cartesian coordinate system while preserving their distance from the axes.
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Change in area = (change in sides)2