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.
Yes, it will.
The x and y coordinates.
There are infinitely many possible correspondences between points in the coordinate plane. Some examples: Every point with coordinates (x+1, y) is one unit to the right of the point at (x, y). Every point with coordinates (x, y+1) is one unit up from the point at (x, y). Every point with coordinates (x, -y) is the reflection, in the y-axis of the point at (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.
a reflection across the line y=x
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
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 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.
The answer will depend on the original coordinates of A: these have not been provided so neither has an answer.
Yes, it will.
Yes. Suppose the point is P = (x, y). Its reflection, in the x-axis is Q = (x, -y) and then |PQ| = 2y.
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.
At the given coordinates where the x and y values intersect