Q&A for How to Rotate a Shape

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  • Question
    How would I rotate a quadrilateral about a point?
    Nitakuar
    Community Answer
    If the point is the origin, then simply apply above the transformation for each of the vertices. If it is some other point, then shift the coordinate axes parallel to the original so it becomes the origin and, after rotation, revert back to the original coordinates.
  • Question
    What does "around the origin" mean? Does it mean around point (0,0)?
    Community Answer
    The origin is around (0,0), the center of the diagram.
  • Question
    What if the number is negative?
    Donagan
    Top Answerer
    If we assume a positive rotation is counterclockwise (anti-clockwise), a negative rotation would be clockwise (to the right at the top).
  • Question
    How do I rotate a shape if the number is negative and clockwise?
    Community Answer
    For example, (-3,-5) you would rotate it and 90 degrees would be (-5,3), 180 would be (-5,-3), and 270 would be (5,-3). Clockwise is a direction, so just follow the way the clock moves.
  • Question
    How do I rotate a shape 180 degrees?
    Community Answer
    You can rotate a shape 180 degrees by taking a point (x,y) and converting it to (-x,-y).
  • Question
    How would I rotate a shape 45 about the origin?
    Community Answer
    First take one of your points -- for example (a,b) -- and simply switch the placement of the coordinates so it makes (b,-a). Repeat this with all points on the shape.
  • Question
    How do I rotate a shape 90 degrees?
    Ray Town
    Community Answer
    In the examples shown above, you can rotate around the origin by changing (x,y) or (-x,-y) to (-y,x) or (y,-x).
  • Question
    Is it the same for anti-clockwise and clockwise when rotating a shape?
    Community Answer
    The procedures are essentially the same whether you're going anti-clockwise (counterclockwise) or clockwise; only the direction of the rotation differs.
  • Question
    How do I know if a shape should go clockwise or counterclockwise?
    Community Answer
    It is often mentioned in the directions, so don't worry. But if anything, look to see if it is negative or positive.
  • Question
    What if the point of rotation is not on the origin but is instead a set of coordinates?
    Community Answer
    Just think of it as the origin, and rotate in normally 90 degrees like a quarter. 180 like half, 270 like 3/4, and so on.
  • Question
    How do I rotate a shape if the points are not precisely on the squares?
    Community Answer
    If the point is not on the squares, then it is not possible to rotate it, even with a graphing calculator. It wouldn't have any specific point, so that is why you cannot rotate it.
  • Question
    How do I rotate a number clockwise?
    Community Answer
    You don't need to. In order to figure out the points for a negative 270-degree question, just use the formula for the 90-degree formula and vice versa and you can just use the same formula for a 180-degree question.
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