Single Transformation

Reflection:
1. Reflection in X-axis:
                                     P(x, y)→P'(-x, y)

2. Reflection in Y-axis:
                                     P(x, y)→P'(-x, y)

3. Reflection in the line y=x:
                                     P(x, y)→P'(y, x)

4. Reflection in the line y=-x:
                                     P(x, y)→P'(-y, -x)

5. Reflection in the line x=k:
                                     P(x, y)→P'(2k-x, y)

6. Reflection in the line y=x:
                                     P(x, y)→P'(x, 2k-y)

Rotation:

1. Rotation through +90^o/ -270^o or Positive Quarter Turn
                                     P(x, y)→P'(-y, x)

2. Rotation through -90^o/ +270^o or Negative Quarter Turn
                                     P(x, y)→P'(y, -x)

3. Rotation through 180^o or Half Turn
                                     P(x, y)→P'(-x, -y)

Translation:

1. Translation by translation vector [a, b]
                           P(x, y)→P'(x+a, y+b)

Enlargement:

1. Enlargement with center at origin and scale factor k i.e. E[O, k]
                          P(x, y)→P'(kx, ky)

2. Enlargement with center at (a,b) and scale factor k i.e. E[(a,b), k]

*****************(^_^)THIS NOTE IS FOR CLASS NINE AS WELL AS TEN(^_^)*****************