Transformations basics

Translations, reflections, and rotations move a shape without changing its size or angles: lines stay the same length, angles stay the same measure, and parallel lines stay parallel. On a coordinate plane, each transformation moves every point in a predictable way, like a translation shifting every (x, y) point by the same amount, which is why a transformation can be thought of as a function that takes each point as an input and gives its new location as an output. A shape has symmetry when some rotation or reflection carries it exactly onto itself, like a square mapping onto itself under a 90-degree rotation.

This explanation is AI-generated and can occasionally be wrong. 🚩 Report