A line segment with endpoints at $(1 , -2 )$ and $(6, 9 )$ is rotated clockwise by $(3 pi)/2$ . What are the new endpoints of the line segment?

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Answer 1 · 2018-02-22T08:21:36

New end points of the line segment are

$A’ ((2),(1))$ and $B’((-9),(6))$

Given : $A (1,-2), B (6,9)$

Rotated by $(3pi/2)$ clockwise.

enter image source here

$A((1),(-2)) -> A’((2),(1))$ IV to I quadrant

$B ((6),(9)) -B’((-9),(6))$ I to IV quadrant.

A line segment with endpoints at (1 , -2 )(1 , -2 ) and (6, 9 )(6, 9 ) is rotated clockwise by (3 pi)/2(3 pi)/2. What are the new endpoints of the line segment?