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

Oct 9, 2017

$\left(5 , - 2\right) \to \left(- 2 , - 5\right) \text{ and } \left(2 , - 7\right) \to \left(- 7 , - 2\right)$

#### Explanation:

$\text{assuming the rotation is about the origin}$

$\text{under a clockwise rotation about the origin of } \frac{\pi}{2}$

• " a point "(x,y)to(y,-x)

$\Rightarrow \left(5 , - 2\right) \to \left(- 2 , - 5\right)$

$\Rightarrow \left(2 , - 7\right) \to \left(- 7 , - 2\right)$