Problem 1B: Finding the Image of a Translation

This GeoGebra example demonstrates how to find the image of a triangle under a translation transformation, and explores the geometric relationship between the original triangle and its translated copy, including overlapping regions and the union of polygons. The core mathematical concept is translation in plane geometry, where every point moves by the same vector, preserving distances and parallelism. The construction uses GeoGebra commands such as Point, Polygon, and IsInRegion, creating multiple points (M, L, K, J, G, I, H, F, E, D), polygons poly1, poly2, and poly3, as well as translated points R', S', T' and a button (button1) to control the translation dynamically. This resource is suitable for middle or high school students learning geometric transformations, vectors, and spatial reasoning, and can also serve as an interactive demonstration for teachers.