# 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?

Jun 14, 2017

$\left(1 , - 5\right) \text{ and } \left(2 , - 7\right)$

#### Explanation:

$\text{I am assuming the rotation is centred at the origin}$

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

$\text{a point } \left(x , y\right) \to \left(y , - x\right)$

$\Rightarrow \left(5 , 1\right) \to \left(1 , - 5\right)$

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