Question

What is the image point of (-8,3) after the transformation R270 T-2,-1

Answer 1

Given:

The point is (-8,3)Rules of transformation R(27°,0)° T<-2,-1>

To find:

The image of given point after transformation

solution:

consider the given point is P(-8,3)Rules of transformation R(27°,0)° T<-2,-1>

representing translation T<-2,-1> after that rotation 27 degree counter clockwiseIf a figure translated by T<-2,-1>

( x,y)=( x -2), ( y - 1)

p= (-8,3)=p' ( -8-2) ,(3-1)p=(-8,3)=p'(-10,2)

If a figure rotates 27 degree counter clockwise then,

(x,y)=(-y,x)p'(-10,2) = p"(2,-10)p'(-10,2) =p"(2,10)

Therefore the image of point (-8,3) after transformation is (2,10).

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