Intro to Euclidean Geometry: Performing Transformations

Explanation

Euclidean geometry is the study of points, lines, angles, and shapes on a flat surface.

Transformations are ways to move or change shapes on a plane without altering their basic properties (like size, shape, or angle measures, depending on the type).

Types of transformations:

1. Rigid transformations (preserve size and shape): translations, rotations, reflections

2. Non-rigid transformations (change size but preserve shape): dilations

Key idea: Transformations help us understand symmetry, congruence, and patterns.