Question

A line segment with endpoints at `(5, 1)` and `(7, 2)` is rotated clockwise by `pi/2`. What are the new endpoints of the line segment?

Answer 1

`(1,-5)" and " (2,-7)`

Explanation:

`"I am assuming the rotation is centred at the origin"`

`"under a clockwise rotation about the origin of " pi/2`

`"a point " (x,y)to(y,-x)`

`rArr(5,1)to(1,-5)`

`rArr(7,2)to(2,-7)`