An isometry that moves or maps every point of the plane the same distance and direction is a translation, which is one of 4 transformations that can be plotted on the Cartesian plane.
translation
A translation.
Suppose the specified line has gradient m. Also suppose the specified distance is d.Then x = sqrt[d2/(1 + m2)] and y = m*x.A translation, by a distance x in the horizontal direction and y=mx in the vertical direction will move the point by the specified distance in the direction of the specified line.
Reflection
A rotation of 270 degrees counterclockwise is a transformation that turns a figure around a fixed point by 270 degrees in the counterclockwise direction. This rotation can be visualized as a quarter turn in the counterclockwise direction. It is equivalent to rotating the figure three-fourths of a full revolution counterclockwise.
A translation.
It is a translation on the Cartesian plane
On the Cartesian plane a translation moves every point on a shape in the same distance and direction
A transformation that moves every point in a figure the same distance in the same direction is called a translation. In a translation, each point of the figure is shifted by a specified vector, which indicates both the distance and direction of the movement. This transformation preserves the shape and size of the figure, resulting in a congruent figure located at a different position in the coordinate plane.
A translation moves every point on a shape in the same distance and in the same direction on the Cartesian plane
A transformation known as a translation moves every point of a figure the same distance in the same direction. In a translation, each point of the figure is shifted uniformly along a straight path, maintaining the shape and size of the figure. This operation does not alter the figure’s orientation or size, simply relocating it in the coordinate plane.
The rule for the transformation above is translation. Translation is a transformation that moves every point of a figure the same distance in the same direction.
translation
The magnitude of displacement is equal to distance when an object moves in a straight line without changing direction. This occurs when displacement and distance have the same direction.
A translation.
'Speed' . If you also specify the direction in which it moves by that distance, then you have 'velocity'.
The image will also move 2m towards the mirror, southward, as it moves with the same distance as the object but in the opposite direction.