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  • 08-04-2020
  • Mathematics
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When would the vertex of an angle have the same coordinates after a rotation?

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thaovtp1407
thaovtp1407 thaovtp1407
  • 12-04-2020

Answer:

To have the same coordinates after a rotation, the degrees of the rotation would be 360.

Step-by-step explanation:

When a point (x,y) is rotated about the origin (0,0) counterclockwise by an angle θ, the coordinates of the new point (x′,y′) are :

x′=xcos(θ)−ysin(θ),

y’=xsin(θ)+ycos(θ).

To have the same coordinates after a rotation, the degrees of the rotation would be 360.

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