RUMUS-RUMUS TRANSFORMASI

TRANSLASI

                          T(a, b)                  

A(x, y)                                           A’(x’, y’) = A’(x + a , y + b)

REFLEKSI

                           x = a                  

A(x, y)                                           A’(x’, y’) = A’(2a – x , y)

                           y = b                  

A(x, y)                                           A’(x’, y’) = A’(x , 2b – y)

                           y = x                  

A(x, y)                                           A’(x’, y’) = A’(y , x)

                           y = -x                  

A(x, y)                                           A’(x’, y’) = A’(-y , -x)

ROTASI

                           a = 90°

A(x, y)                                           A’(x’, y’) = A’(-y , x)

                            P(0,0)  

                           a = -90°

A(x, y)                                           A’(x’, y’) = A’(y , -x)

                            P(0,0)                  

                           a = 90°

A(x, y)                                           A’(x’, y’) = A’(b + a – y , b – a + x)

                            P(a,b) 

                           a = -90°

A(x, y)                                           A’(x’, y’) = A’(a – b + y , a + b – x)

                            P(a,b)  

                         

                           a = 180°

A(x, y)                                           A’(x’, y’) = A’(-x , -y)

                            P(0,0)  

                           a = -180°

A(x, y)                                           A’(x’, y’) = A’(-x , -y)

                            P(0,0)                  

                           a = 180°

A(x, y)                                           A’(x’, y’) = A’(2a – x , 2b – y)

                            P(a,b) 

                           a = -180°

A(x, y)                                           A’(x’, y’) = A’(2a – x , 2b – y)

                            P(a,b)                                    

                           a = 270°

A(x, y)                                           A’(x’, y’) = A’(y , -x)

                            P(0,0)  

                           a = -270°

A(x, y)                                           A’(x’, y’) = A’(-y , x)

                            P(0,0)                  

                           a = 270°

A(x, y)                                           A’(x’, y’) = A’(a – b + y , a + b – x)

                            P(a,b) 

                           a = -270°

A(x, y)                                           A’(x’, y’) = A’(b + a – y , b – a + x)

                            P(a,b)                                    

DILATASI

                   faktor skala = k

A(x, y)                                           A’(x’, y’) = A’(kx , ky)

                            P(0,0)  

                   faktor skala = k

A(x, y)                                           A’(x’, y’) = A’(k(x – a) + a , k(y – b) + b)

                            P(a,b)