Transformations (Rotations, Translations and Enlargements)

• Transformations

  Changes to the size or position of a shape
• Types of transformations

  • Translation
  • Rotation
  • Reflection
  • Enlargement
• Translation

  1. Changes the shape's position

  2. Can be left, right, up or down

  3. Measured in units
• Describing translation


  • Describe change in position horizontally and vertically
  • Use a vertex to count units moved
• Vectors


  Can be used to describe translations
• Rotation

  1. Changes the shape's position

  2. Describe angle of rotation

  3. Describe direction

  4. Describe center of rotation
• Tracing paper can help find the center of rotation
• Reflection

  1. Changes the shape's position

  2. Describe the equation of the line of reflection
• The line of reflection can be thought of as a mirror
• Each vertex of the new shape will be an equal distance from the mirror line as each vertex of the original shape
• Enlargement

  1. Changes the shape's size

  2. Describe the scale factor

  3. Describe the center of enlargement
• Scale factor

  Ratio of new length to old length of a side
• Center of enlargement


  Point where lines from corresponding vertices of new and old shapes intersect