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

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Answer 1 · 2016-11-30T08:20:27

$A'(8,5)$

$B'(2,2)$

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$"assume that rotating point is origin"$

$"the image of B is B"'$

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

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

$"the image of A is "A'$

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

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

A line segment with endpoints at (5 , -8 )(5,−8)(5 , -8 ) and (2, -2 )(2,−2)(2, -2 ) is rotated clockwise by (3 pi)/23π2(3 pi)/2. What are the new endpoints of the line segment?