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If you know how to rotate a triangle around the origin, treat the point as the origin.

If you have Cartesian coordinates (that is x, y pairs) for the points of the triangle,

subtract the coordinates of the centre of rotation from the coordinates of the triangle, do the rotation and then add them back on.

Doing it geometrically:

  1. Draw line from centre of rotation to a point (for example a vertex)
  2. Measure the required angle from this line and draw in the rotated line
  3. Measure the distance from the centre of rotation to the original point and measure along the rotated line the required distance to get the rotated point.
  4. repeat for as many points as needed (eg the 3 vertices of the triangle) and join together the rotated points in the same was as the original points.

[The construction lines drawn to the centre of rotation can be erased once the rotated point is found.]

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Q: How do you rotate a triangle around a point that is not origin?
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