Geometric Transformations and Composition

MathematicsVectors & Coordinate GeometryAges 16–17

Drag the F-shape and the elements of each transformation (translation vector, center of rotation, line of reflection, center of dilation) to see the image and its coordinate formula. Turn on composition mode to discover that two intersecting lines of reflection combine into a rotation through twice the angle between them, and two parallel lines combine into a translation — then check which transformations preserve distance and orientation.