Four Basic Geometric Transformations: Reflection, Rotation, Dilation, Translatio

This GeoGebra example explores the four basic geometric transformations—reflection, rotation, enlargement (dilation), and translation—by applying them to a polygon and comparing the original image with its transformed copies. It reinforces concepts such as mirror symmetry, rotation about a point, scale factor, vector translation, congruence and similarity, and the behavior of points, lines, angles, and polygons under transformations. The construction uses Polygon to create the initial quadrilateral, Point, Line, Ray, and Angle to define vertices, sides, and angular relationships, Mirror for reflection, Rotate for rotation, Dilate for enlargement, and Translate with Vector for translation. Generated objects such as C'_1, D'_1, B'_1, poly1'_1, and further primed copies let students observe how each transformation affects position, orientation, and size. It is suitable for middle-school and high-school geometry lessons, GeoGebra practice, and introductory transformation geometry investigations.