Geometric translation is a type of transformation that moves every point of a figure or a space by the same distance in a given direction. It can be visualized as "sliding" an object without rotation or reflection.

In a 2D plane, a translation is defined by a vector (v_x, v_y), where v_x represents the horizontal shift and v_y represents the vertical shift. For a point (x, y), translating it by vector (v_x, v_y) results in a new point (x + v_x, y + v_y). This tool helps you perform and visualize these translations for points, lines, and polygons, making geometric concepts more intuitive.

• Point Translation: Moves a point to a new location explicitly based on the vector.
• Line Translation: Translates both endpoints of a line segment, resulting in a parallel line.
• Polygon Translation: Shifts all vertices of a polygon, maintaining its shape, area, and orientation in a new position.