For 6 and 7, the field of computer graphics utilizes vectors to compute translat

Question

For 6 and 7, the field of computer graphics utilizes vectors to compute translations of points. For example, if the point (-3,2) is to be translated by v(5,2), then the new location will be u -ü +v (-3,2) 5,2 2,4) As illustrated in the figure, the point (-3,2) is translated to (2,4) byv. (2,4) (5, 2) (3, 2) The points (-3, 0), (-1,-2), (3,1), and (1,3) are the vertices of a parallelogram 6. Find the new vertices of a parallelogram A'B'C'D' if it is translated by 7. Find the new vertices of a parallelogram A'B'C'D' if it is translated by ABCD

Explanation / Answer

A= (-3,0), A ' = (-3,0) +(3,-2) =< 0,-2)

B= <-1,-2> , B ' = (-1,-1>+(3,-2> = <2, -3>

C = <3,1>, C ' =<3,1>+<3,-2> = <6, -1>

D = <1,3> , D ' = <1,3>+<3,-2> = <4,1>

7. A ' = <-3,0>-(1/2)<3,-2> = <-9/2 , 1>

B'= <-1,-2>-(1/2)<3,-2> =<-5/2 , -1>

C ' =<3,1>-(1/2)<3,-2> = <3/2 ,2>

D ' =<1,3>+(1/2)<3,-2> =<5/2 , 2>

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