How is a point translated in a coordinate system?

A point in a coordinate system is translated by adding fixed values to its coordinates. This process involves taking a point represented by its coordinates (x, y) and moving it horizontally and/or vertically by a specific amount. For instance, if you want to translate the point (3, 4) right by 2 units and up by 3 units, you would add 2 to the x-coordinate and 3 to the y-coordinate, resulting in the new point (5, 7).

This method ensures that the transformation maintains the shape and relative positioning of points if applied uniformly across a geometrical figure. In translation, every point of the geometric shape moves the same distance in the same direction, preserving the dimensions and angles. This contrasts with other transformations like rotation or scaling, which alter the arrangement or size of the shape rather than simply moving it in the coordinate space.