The given point is reflected across the line indicatedFind the coordinates of the image U across x = 1 Q the given point U is reflected across the line x = 1 the image is ( Type an ordered pair )
To reflect a point U across the line x = 1, we need to keep the y-coordinate the same and change the x-coordinate to its reflection across the line x = 1.
If the coordinates of point U are (x, y), then the reflection across the line x = 1 will have coordinates (2 - x, y).
Therefore, the coordinates of the image U across x = 1 are (2 - x, y).
To find the coordinates of the image point U when reflected across the line x = 1, we need to use the process of reflection.
The line x = 1 is a vertical line passing through the x-coordinate 1. To reflect a point across this line, we need to find the distance between the given point and the line, and then move the same distance on the other side of the line.
Let's say the given point U has coordinates (x, y).
Since the line of reflection is x = 1, the line is 1 unit away from the given point horizontally. To find the image point, we need to move 1 unit in the opposite direction from the line.
The x-coordinate of the reflection image will be 2 units away from the line. So the x-coordinate of the image U across the line x = 1 is 1 - 2 = -1.
The y-coordinate remains the same because the line of reflection is vertical, and only the x-coordinate changes.
Therefore, the coordinates of the image U across the line x = 1 are (-1, y).
To find the coordinates of the image point U across the line x = 1, we can use the concept of reflection.
Since the line x = 1 is a vertical line, the reflection of a point across this line will have the same y-coordinate but a different x-coordinate.
Given the point U, we need to determine its reflection across x = 1. Let's say the coordinates of U are (x, y).
To reflect the point U across the line x = 1, we need to find the distance between the line x = 1 and the point U, and then subtract this distance from the x-coordinate of U to get the x-coordinate of the image.
In this case, since the line x = 1 is vertical, we can simply subtract the x-coordinate of U from 1 to get the x-coordinate of the image.
So the x-coordinate of the image U' across x = 1 will be: x' = 1 - x.
Since the y-coordinate of the image will be the same as the y-coordinate of U, the y-coordinate of the image U' will be: y' = y.
Therefore, the coordinates of the image U' across x = 1 will be (1 - x, y).