If your points are (p,f), they become (p,-f).
To reflect a figure across the line ( y = x ), you swap the coordinates of each point in the figure. For a point ((a, b)), its reflection would be ((b, a)). This process is applied to every point in the figure, resulting in the entire figure being mirrored across the line ( y = x ).
In order to answer that, I need to know the position of ABCD with respect tothe x-axis before the reflection process begins.But wait! What light through yonder window breaks ? ! On second thought, maybe I don't.If D is the point (x, y) before the reflection, then D' is the point (x, -y) after it.
The reflection of a point across the y-axis involves changing the sign of the x-coordinate while keeping the y-coordinate the same. In this case, the point (-1, -5) will reflect to (1, -5) across the y-axis. This is because the x-coordinate changes from -1 to 1, while the y-coordinate remains -5.
The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.
(-3,1) progress learning/ usatestprep
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.
y' = y, x' = -x.
Reflection across the y-axis changes the sign of the x - coordinate only, that is, (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 determine the coordinates of a point after a reflection in the y-axis, you simply negate the x-coordinate while keeping the y-coordinate the same. For a point with coordinates ((x, y)), its reflection across the y-axis will be at ((-x, y)). This transformation effectively flips the point over the y-axis, maintaining its vertical position but reversing its horizontal position.
To find the reflection of point P(-1, 6) across the line y = x, you swap the x and y coordinates of the point. Therefore, the reflection of P(-1, 6) is P'(6, -1).
The reflection of a point or shape across the y-axis involves changing the sign of the x-coordinates while keeping the y-coordinates the same. For example, if you have a point (x, y), its reflection across the y-axis would be (-x, y). This transformation effectively flips the figure horizontally, creating a mirror image on the opposite side of the y-axis.
To reflect a point across the line ( y = x ), swap its x and y coordinates. For example, if the original point is ( (a, b) ), the reflected point will be ( (b, a) ). This transformation can also be applied to entire shapes by swapping the coordinates of each vertex.
Example: if you have a point with the coordinates (2,4), a reflection over the y-axis will result in the point with coordinates (-2,4).
Each reflection produces a mirror image.=================================Answer #2:With the initial point at (0, 0) ... the origin of coordinates ...-- the first reflection, across x = -3, moves the point to (-6, 0), and-- the second reflection, around y = -3, moves it to (-6, -6) .
To reflect a point across the line ( y = x ), you swap the coordinates of the point. For example, if you have a point ( (a, b) ), its reflection across the line ( y = x ) will be ( (b, a) ). This transformation applies to all points in the Cartesian plane.
If the coordinates of a point, before reflection, were (p, q) then after reflection, they will be (-p, q).