A line segment with endpoints at #(1 , -8 )# and #(1, -2 )# is rotated clockwise by #(3 pi)/2#. What are the new endpoints of the line segment?

1 Answer
sankarankalyanam
Mar 29, 2018

#color(purple)("New end points are ") color(green)( (8,1), (2, 1) " in the I Quadrant"#

Explanation:

Given points : #A (1, -8), B (1, -2)#

Rotated by #(3pi)/2# clockwise about the origin.

![https://www.onlinemath4all.com/http://rotation-transformation.html](https://useruploads.socratic.org/gDKssdsYRASHBut2Ki91_rotation%20rules.jpg)
New end points are

#A (1, -8) -> A'(8,1)#

#B(1, -2) -> B'(2, 1)#

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