# A line segment has endpoints at (8 ,5 ) and (2 ,3 ). If the line segment is rotated about the origin by  pi , translated horizontally by  - 1 , and reflected about the y-axis, what will the line segment's new endpoints be?

The new endpoints are $\left(3 , - 3\right)$ and $\left(9 , - 5\right)$

#### Explanation:

After the line segment has been rotated about the (0, 0), the new endpoints are $\left(- 2 , - 3\right)$ and $\left(- 8 , - 5\right)$ located at the 3rd quadrant.

After translating it -1 horizontally, the new endpoints become
$\left(- 3 , - 3\right)$ and $\left(- 9 , - 5\right)$ still at the 3rd quadrant.

After reflecting it about the y-axis it will appear at the 4th quadrant with endpoints $\left(3 , - 3\right)$ and $\left(9 , - 5\right)$

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