Transformations & Symmetry

Transformations reveal what changes and what remains invariant; rigid motions preserve distance and angle, while dilation changes scale in a controlled way.

What you'll learn

  • Distinguish translation, rotation, reflection, and dilation by their defining actions.
  • Identify distance and angle invariants of rigid motions.
  • Track orientation under rotation versus reflection.
  • Test a proposed symmetry by exact point correspondence.
  • Apply coordinate rules and compose transformations.

Before you start

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