A line segment with endpoints at (1 , -4 ) and (2, 7 ) is rotated clockwise by (3 pi)/2. What are the new endpoints of the line segment?

1 Answer
Jul 10, 2017

(4,1)" and " (-7,2)

Explanation:

"assuming rotation about the origin"

"under a clockwise rotation about the origin of " (3pi)/2

• " a point " (x,y)to(-y,x)

rArr(1,-4)to(4,1)

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