To reflect a point over the line ( y = x ), you swap its x-coordinate and y-coordinate. For the point ( (3, -2) ), the reflection over the line ( y = x ) results in the point ( (-2, 3) ). Therefore, the coordinates of the reflected point are ( (-2, 3) ).
To find the coordinates of an image reflected over the line ( y = x ), you simply swap the x-coordinate and y-coordinate of the original point. For a point ( (a, b) ), the reflected image will have the coordinates ( (b, a) ). This rule applies to any point in the Cartesian coordinate system.
me no no
To reflect the point L(4, 2) over the line y = 1, you first find the vertical distance from the point to the line. The point is 1 unit above the line (since 2 - 1 = 1), so the reflected point will be 1 unit below the line. Therefore, the coordinates of the image of point L after the reflection will be L'(4, 0).
When a line is reflected over the Y-axis, the x-coordinates of all points on the line change sign, while the y-coordinates remain the same. For example, a point (x, y) would become (-x, y) after reflection. This transformation effectively flips the line horizontally, maintaining its slope but altering its position in the Cartesian plane.
When a point is reflected over the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same. For example, if a point has the coordinates (x, y), after reflection over the y-axis, its new coordinates will be (-x, y). This transformation effectively mirrors the point across the y-axis.
To find the coordinates of an image reflected over the line ( y = x ), you simply swap the x-coordinate and y-coordinate of the original point. For a point ( (a, b) ), the reflected image will have the coordinates ( (b, a) ). This rule applies to any point in the Cartesian coordinate system.
me no no
The image is at (6, 3).
To reflect the point L(4, 2) over the line y = 1, you first find the vertical distance from the point to the line. The point is 1 unit above the line (since 2 - 1 = 1), so the reflected point will be 1 unit below the line. Therefore, the coordinates of the image of point L after the reflection will be L'(4, 0).
When a line is reflected over the Y-axis, the x-coordinates of all points on the line change sign, while the y-coordinates remain the same. For example, a point (x, y) would become (-x, y) after reflection. This transformation effectively flips the line horizontally, maintaining its slope but altering its position in the Cartesian plane.
When a point is reflected over the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same. For example, if a point has the coordinates (x, y), after reflection over the y-axis, its new coordinates will be (-x, y). This transformation effectively mirrors the point across the y-axis.
When a point with coordinates ((x, y)) is reflected over the x-axis, its x-coordinate remains the same while the y-coordinate changes sign. Thus, the new coordinates of the reflected point become ((x, -y)). This transformation effectively flips the point vertically, moving it to the opposite side of the x-axis.
5
No. It changes by double the (perpendicular) distance from the point to the line.
B
Your new coordinates would be -2,5.
When a point with coordinates ((x, y)) is reflected over the x-axis, its new coordinates become ((x, -y)). This means that the x-coordinate remains the same while the y-coordinate changes its sign. For example, if the original point is ((3, 4)), its reflection over the x-axis would be ((3, -4)).