transformations

• Transformations


  • Translations
  • Enlargement
  • Reflections
  • Rotations
• Translations


  Moving a shape, normally given a vector to indicate how to move it
• Vector


  • Top number shows left/right direction, bottom number shows up/down direction
  • Negative numbers mean left/down, positive numbers mean right/up
• Translating a shape by a vector

  1. Look at each corner individually

  2. Move each corner the vector amount

  3. Connect the new corner positions
• Enlargement


  Making a shape bigger or smaller, given a scale factor and a center of enlargement
• Enlarging a shape by a scale factor

  1. Start from the center of enlargement

  2. Go to each corner

  3. Move each corner the scale factor distance from the center
• Reflections


  Reflecting a shape in a line, like in a mirror
• Reflecting a shape in a line

  1. Draw the reflection line

  2. Look at each corner individually

  3. Move each corner the distance to the line, to the other side
• Rotations


  Rotating a shape around a point, by a given angle (clockwise or anticlockwise)
• Rotating a shape


  1. Use tracing paper

  2. Mark the corners on the tracing paper

  3. Rotate the tracing paper around the center point by the given angle