Geometric Transformations, Tessellation, and Symmetry Study Notes

Geometric Transformations and Movements

• Transformation:

  • Occurs when a shape is moved from one position to another.

  • Refers to an action that relocates a shape from a starting position to a new position.

• Translation:

  • A specific form of geometric transformation.

  • Occurs when a shape is shifted or moved directly from one position to another.

Tessellation

• Definition of Tessellation:

  • A continuous pattern created by repeating a shape across a surface.

• Key Structural Properties:

  • Must contain no gaps between shapes.

  • Must contain no overlaps between shapes.

  • Created by systematically repeating a shape over a given area.

Line Symmetry

• Core Concept:

  • Addresses the question: What is line symmetry?

  • Refers to a property where a line divides a shape such that both sides form an identical match.

Enlargements and Reductions

• Size Modification Transformations:

  • Enlargement and reduction are transformations characterized by changes in the size of a shape.

• Enlargement:

  • A transformation process that makes a shape bigger.

• Reduction:

  • A transformation process that makes a shape smaller.

Assessment Schedule

• Exam Date:

  • Exam scheduled for September 2026.