\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)

Transformations

Types of Transformations

Transformations are ways to move, flip, or turn a shape.
Definition Object and Image
When a transformation is applied to a shape, the input shape is called the object. The output shape after the transformation is called the image.
Definition Types of Transformations
There are several types of transformations, including:
  • Translation: Slides the shape to a new position without changing its shape, size, or the direction it faces.
  • Reflection: Flips the shape over a line (like a mirror), creating a mirror image.
  • Rotation: Turns the shape.

Patterns

Definition Pattern
A pattern is created by repeating a transformation (e.g., translation, reflection, rotation) to form a design.
Example
The following pattern is created by repeating a translation :