To determine the coordinates after a reflection in the x-axis, you keep the x-coordinate the same and negate the y-coordinate. For example, if a point has coordinates (x, y), its reflection in the x-axis will be (x, -y). This means that any point above the x-axis will move to an equivalent position below it, and vice versa.
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 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 example, if the original point is represented as (x, y), the reflected point will be (-x, y). This transformation effectively flips the point across the y-axis.
To determine the reflection of point Z across the line x = 3, you need to find the horizontal distance from Z to the line. If Z has coordinates (x, y), the reflected point Z' will have coordinates (6 - x, y), as it will be the same distance from the line x = 3 on the opposite side. Thus, the reflection image of Z is Z' at the coordinates (6 - x, y).
If point ( a ) has coordinates ((x, y)), its reflection across the y-axis would change the x-coordinate to its negative, resulting in the new coordinates ((-x, y)). Therefore, the coordinates of point ( a ) after reflection across the y-axis would be ((-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 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 example, if the original point is represented as (x, y), the reflected point will be (-x, y). This transformation effectively flips the point across the y-axis.
To determine the reflection of point Z across the line x = 3, you need to find the horizontal distance from Z to the line. If Z has coordinates (x, y), the reflected point Z' will have coordinates (6 - x, y), as it will be the same distance from the line x = 3 on the opposite side. Thus, the reflection image of Z is Z' at the coordinates (6 - x, y).
The points after reflection will follow points equal but different direction, to the path followed before the reflection. So, if the line would cover 3.5 on the x and 5 on the y; it will reflect symmetrically giving you the formula to get your answer.
If point ( a ) has coordinates ((x, y)), its reflection across the y-axis would change the x-coordinate to its negative, resulting in the new coordinates ((-x, y)). Therefore, the coordinates of point ( a ) after reflection across the y-axis would be ((-x, y)).
If it is Rx=0, it means you are reflecting your set of coordinates and reflect it across the x-axis when x=0. So it pretty much is saying reflect it over the y-axi
a reflection across the line y=x
y' = y, x' = -x.
Reflection across the y-axis changes the sign of the x - coordinate only, that is, (x, y) becomes (-x, y).
Reflecting a shape over the X-axis changes the sign of the Y-coordinates of its points while leaving the X-coordinates unchanged. For example, a point with coordinates (x, y) will be transformed to (x, -y) after the reflection. This results in the shape being inverted vertically across the X-axis.
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 image of triangle LMN after a translation of 5 units to the left and a reflection over the line y = x, first, translate each vertex of the triangle 5 units left. For example, if point L is at (x, y), it will move to (x - 5, y). Then, reflect the new coordinates over the line y = x, which involves swapping the x and y coordinates for each vertex. The final coordinates will represent the new position of triangle LMN after both transformations.