Rigid Transformations Overview

Explanation

Rigid transformations are movements of shapes that preserve size and shape. They include translations, rotations, and reflections.

Key properties of rigid transformations:

1. Congruence: Shapes remain the same size and shape.

2. Distance preservation: Lengths of sides do not change.

3. Angle preservation: Angles inside the shape remain unchanged.

4. Orientation:

   • Translation and rotation preserve orientation.

   • Reflection reverses orientation (mirror image).

Rigid transformations are useful for proving shapes are congruent.