Subject: Computer Graphics

Question: Perform a 60 rotation of triangle A(0, 0), B(1, 1) and C(4, 4) about P(-2, -2).

Similar example: solve like this

@ The matrix of nolation is cos 45 -sin 45 Rago sin 45 1212 -V2/2 12/2 V2/2 cos 45 9) O O 1 5 ABC can 4.5 Perform a 45 nota'tion of triangle Ao.0), 8(1.1) , e (5.2) @) about the onigin and (b) about P(-4,-1). We repnesent the triangle by a matrix formed from the homogeneous coondinates of the vertices 50, the coordinates Abc' of the notated triangle be found as [A B'c'] = Ras. [ABC] dou To ndono al /V1 2 2 2 12/2 12/2 -1212 12/2 o 1 2 o 1 2 1 1 [A' Bc] - Rasip [180] O 312/2 O 12 12/2 . O Thus A = (0,0), B= (0,ve) and c'=(2, 12, 12) 6) From Prob 4.4, the notation matrix is given by R45",p = To Rasu. To, where - 1-3 30 2 1 R45.9 1/2 O 1 1 1 -1 O o o 1 1 1 o 1 3/2 - 1 642-1) (12-1) 9/21 Loa so. A' =(-1,13-3)6=(-4, 212-4). 6-(32-1, 2-1) 1 - 1 1 -4 0 1 1 1 0 1 sapu slov o spor sale o [12-1] o @ The matrix of nolation is cos 45 -sin 45 Rago sin 45 1212 -V2/2 12/2 V2/2 cos 45 9) O O 1 5 ABC can 4.5 Perform a 45 nota'tion of triangle Ao.0), 8(1.1) , e (5.2) @) about the onigin and (b) about P(-4,-1). We repnesent the triangle by a matrix formed from the homogeneous coondinates of the vertices 50, the coordinates Abc' of the notated triangle be found as [A B'c'] = Ras. [ABC] dou To ndono al /V1 2 2 2 12/2 12/2 -1212 12/2 o 1 2 o 1 2 1 1 [A' Bc] - Rasip [180] O 312/2 O 12 12/2 . O Thus A = (0,0), B= (0,ve) and c'=(2, 12, 12) 6) From Prob 4.4, the notation matrix is given by R45",p = To Rasu. To, where - 1-3 30 2 1 R45.9 1/2 O 1 1 1 -1 O o o 1 1 1 o 1 3/2 - 1 642-1) (12-1) 9/21 Loa so. A' =(-1,13-3)6=(-4, 212-4). 6-(32-1, 2-1) 1 - 1 1 -4 0 1 1 1 0 1 sapu slov o spor sale o [12-1] o