A line segment with endpoints at $(1, - 2)$ $(1 , -2 )$ and $(1, - 4)$ $(1, -4 )$ is rotated clockwise by $\frac{π}{2}$ $pi/2$ . What are the new endpoints of the line segment?

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A line segment with endpoints at $(1, - 2)$ $(1 , -2 )$ and $(1, - 4)$ $(1, -4 )$ is rotated clockwise by $\frac{π}{2}$ $pi/2$ . What are the new endpoints of the line segment?

1 Answer

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Answer 1 · 2016-11-20T11:58:13

$(1, - 2) \to (- 2, - 1), (1, - 4) \to (- 4, - 1)$ $(1,-2)to(-2,-1),(1,-4)to(-4,-1)$

Explanation:

I am assuming a rotation about the origin.

Under a clockwise rotation about the origin of $\frac{π}{2}$ $pi/2$

$a point (x, y) \to (y, - x)$ $"a point " (x,y)to(y,-x)$

$\Rightarrow (1, - 2) \to (- 2, - 1)$ $rArr(1,-2)to(-2,-1)$

and $(1, - 4) \to (- 4, - 1)$ $(1,-4)to(-4,-1)$

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A line segment with endpoints at $(1, - 2)$ $(1 , -2 )$ and $(1, - 4)$ $(1, -4 )$ is rotated clockwise by $\frac{π}{2}$ $pi/2$ . What are the new endpoints of the line segment?

1 Answer

Explanation:

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