A line segment with endpoints at #(5 , -8 )# and #(2, -2 )# is rotated clockwise by #(3 pi)/2#. What are the new endpoints of the line segment?

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Answer 1 · 2016-11-30T08:20:27

#A'(8,5)#

#B'(2,2)#

enter image source here

#"assume that rotating point is origin"#

#"the image of B is B"'#

#B(x,y) rArr B'(-y,x)#

#B(2,-2)rArrB'(2,2)#

#"the image of A is "A'#

#A(x,y) rArr A'(-y,x)#

#A(5,-8)rArr A'(8,5)#