A line segment with endpoints at $(5, - 2)$ $(5 , -2 )$ and $(2, - 7)$ $(2, -7 )$ 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 $(5, - 2)$ $(5 , -2 )$ and $(2, - 7)$ $(2, -7 )$ 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 · 2017-10-09T18:47:36

$(5, - 2) \to (- 2, - 5) and (2, - 7) \to (- 7, - 2)$ $(5,-2)to(-2,-5)" and "(2,-7)to(-7,-2)$

Explanation:

$assuming the rotation is about the origin$ $"assuming the rotation is about the origin"$

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

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

$\Rightarrow (5, - 2) \to (- 2, - 5)$ $rArr(5,-2)to(-2,-5)$

$\Rightarrow (2, - 7) \to (- 7, - 2)$ $rArr(2,-7)to(-7,-2)$

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A line segment with endpoints at $(5, - 2)$ $(5 , -2 )$ and $(2, - 7)$ $(2, -7 )$ 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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1 Answer

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