GEOMETRIC TRANSFORMATION OF SHAPES Geometric transformations involve taking a preimage and transforming it in some way to produce an image. There are two different categories of transformations: 1. The rigid transformation, a transformation which does not change the shape or size of the preimage. 2. The non-rigid transformation, a transformation which changes the size but not the shape of the preimage. TYPES OF TRANSFORMATIONS Within the rigid and non-rigid categories, there are four main types of transformations that we'll learn today. Three of them fall in the rigid transformation category, and one is a nonrigid transformation. RIGID TRANSFORMATION: • Rotation • Translation • Reflection NON-RIGID TRANSFORMATION: Dilation RIGID TRANSFORMATIONS Rotation: rotating an object about a fixed point without changing its size or shape. RIGID TRANSFORMATIONS Translation: moving an object in space without changing its size, shape or orientation RIGID TRANSFORMATIONS Reflection: flipping an object across a line without changing its size or shape NON-RIGID TRANSFORMATION Dilation: expanding or contracting an object without changing its shape or orientation SUMMARY: 1. The rigid transformation, a transformation which does not change the shape or size of the preimage. Translation- a transformation of an object where every point of it moves a fixed distance and a given direction Rotation-a transformation of an object by rotating about a given point through a given angle Reflection-a transformation of an object where every point of it and its image are of the same distance from the line of symmetry 2. The non-rigid transformation, a transformation which will change the size but not the shape of the preimage. Dilation- a transformation of an object by resizing to either reduce it or enlarge it about a point with a given factor