Translação 2D

The 2D Translation Calculator is an online tool that applies a simple geometric transformation to a point on the Cartesian plane. Given a point with coordinates (x, y) and a translation vector with components (tₓ, t_y), the calculator returns the new point (x + tₓ, y + t_y). This operation shifts the point without changing its orientation or size, serving as the basis for movements in coordinate systems.

The operation is straightforward: the user enters the original point coordinates and the displacement values along the X and Y axes. The calculator sums each corresponding component, generating the coordinates of the translated point. For example, if the point is (3, 5) and the vector is (2, -1), the result is (5, 4). There is no dependency between axes; each is handled independently.

This calculator is useful in various practical fields. In computer graphics, it is used to move objects in games or animations. In engineering, it helps reposition elements in CAD projects. In physics, it describes particle displacements. It is also applied in GPS navigation and robotics to adjust coordinates simply.

Important precautions: ensure coordinates and vector are entered as real numbers (decimals allowed). Translation is a linear operation that preserves distances and angles, but do not confuse it with rotation or scaling. Verify the translation vector is correct, as sign or value errors completely change the final position.