TRANSFORMATION

TRANSFORMATION

1. FURTHER REFLECTIONS

   • Draw lines perpendicular to the mirror
     • Join the vertices to draw the reflection

2. FURTHER ROTATIONS

   • A rotation transforms a shape to a new position by turning it about a fixed point called centre of rotation

3. FURTHER ENLARGEMENTS

   • Centre of enlargement can be find by drawing rays
   • Scale factor : height of image height of object

4. COMBINED TRANSFORMATION

   • Describe
     • Translation fully, use vector
     • reflection fully, use mirror line
     • rotation fully, (centre of rotation, an angle of rotation, direction of turn)
     • Enlargement fully, (centre of enlargement, scale factor)

5. TWO MORE TRANSFORMATION

   • In a shear one line is fixed (called the invariant line) and all other points move parallel to the line. Shear factor expresses how far a point moves from its original position.
     • Shear factor = distance moved due to shear distance from invariant line
   • A stretch has an invariant line. All the points move away from it. It is like an enlargement in one direction only.