A line segment with endpoints at $(5 , -9 )$ and $(2, -7 )$ is rotated clockwise by $pi/2$ . What are the new endpoints of the line segment?

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Answer 1 · 2016-11-04T04:44:29

The endpoints of the new line segment are $(9,5)$ and $(7,2)$ .

Rotate each point $pi/2$ radians, so I'll start with $(2,-7)$ because it's closer to the origin.
$(2,-7)$ becomes $(7,2)$
$(5,-9)$ becomes $(9,5)$

A line segment with endpoints at (5 , -9 )(5 , -9 ) and (2, -7 )(2, -7 ) is rotated clockwise by pi/2pi/2. What are the new endpoints of the line segment?