Geometric Translation Tool

Geometric Translation Explained

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 (x, y), where x represents the horizontal shift and y represents the vertical shift. For a point (a, b), translating it by vector (x, y) results in a new point (a+x, b+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 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 and size in a new position.