Mapping Congruent Polygons via Rotation and Translation
Loading the math board and drawing, please wait…
In collections
Congruent Polygons
This GeoGebra activity file is designed for Activity 2.1.6b, Question 6, and demonstrates how to map a polygon to a congruent position using combinations of rotation, translation, and vector operations. Core mathematical concepts include polygon congruence, geometric transformations (rotation, translation, vectors), and the positional relationships between figures. Construction involves GeoGebra commands such as Polygon, Rotate, Vector, and Translate, operating on vertices A, B, C, D and their transformed images A', B', C', D'. The activity is suitable for middle to high school geometry courses, helping students visualize congruence transformations and develop spatial reasoning and transformational geometry skills.
GeoGebra Commands & Parameters
Polygon(D, A, B, C) → poly1, d, a, b, cRotate(D, 90*°, A) → D'Rotate(A, 90*°, A) → A'Rotate(B, 90*°, A) → B'Rotate(C, 90*°, A) → C'Polygon(D', A', B', C') → poly1', d', a', b', c'Vector(D, E) → uTranslate(D', u) → ZTranslate(A', u) → WTranslate(B', u) → TTranslate(C', u) → GPolygon(Z, W, T, G) → poly1'', d'', a'', b'', c''