A line segment with endpoints at $(2, 2)$ $(2 , 2 )$ and $(6, - 3)$ $(6, -3 )$ is rotated clockwise by $\frac{3 π}{2}$ $(3 pi)/2$ . What are the new endpoints of the line segment?

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A line segment with endpoints at $(2, 2)$ $(2 , 2 )$ and $(6, - 3)$ $(6, -3 )$ is rotated clockwise by $\frac{3 π}{2}$ $(3 pi)/2$ . What are the new endpoints of the line segment?

1 Answer

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Answer 1 · 2018-03-10T16:06:16

$(2, 2) \to (- 2, 2) and (6, - 3) \to (3, 6)$ $(2,2)to(-2,2)" and "(6,-3)to(3,6)$

Explanation:

$Assuming a rotation about the origin$ $"Assuming a rotation about the origin"$

$under a clockwise rotation about the origin of \frac{3 π}{2}$ $"under a clockwise rotation about the origin of "(3pi)/2$

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

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

$\Rightarrow (6, - 3) \to (3, 6)$ $rArr(6,-3)to(3,6)$

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A line segment with endpoints at $(2, 2)$ $(2 , 2 )$ and $(6, - 3)$ $(6, -3 )$ is rotated clockwise by $\frac{3 π}{2}$ $(3 pi)/2$ . What are the new endpoints of the line segment?

1 Answer

Explanation:

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1 Answer

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