The coordinates of the image of point Q when it is rotated 90° clockwise about the origin are (-1,-2).
What is the transformation of figure?
Transformation of a figure is to change the size, shape or the position of a figure to create a new figure for required use.
Rotation of figure-
- Rotation of a figure is the transformation of it about a point in either clockwise or anticlockwise direction.
- By rotating, a figure changes the point of the figure.
When a point (x,y) rotated 90° clockwise about the origin, it will be rotated to (y,-x).
\((x,y)- > (y,-x)\)
Point Q(2, −1) is rotated 90° clockwise about the origin. By the rotaion rule for 90° clockwise, the new coordinated of the transformed image will be,
\(P'=(-1,-2)\)
Thus, the coordinates of the image of point Q when it is rotated 90° clockwise about the origin are (-1,-2).
Learn more about the transformation of the figure here;
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