Mathematics
Find the co-ordinates of the points obtained on rotating the following points 90° about origin in the clockwise direction :
(i) (5, 2)
(ii) (5, -2)
(iii) (-5, 2)
(iv) (-5, -2)
(v) (0, 2)
Symmetry
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Answer
(i) When a point P(x, y) is rotated through 90° (clockwise) about the origin O, we get the point P' = (y, -x).
For the point (5, 2), after rotation, the new coordinates become (2, -5).
(ii) When a point P(x, y) is rotated through 90° (clockwise) about the origin O, we get the point P' = (y, -x).
For the point (5, -2), after rotation, the new coordinates become (-2, -5).
(iii) When a point P(x, y) is rotated through 90° (clockwise) about the origin O, we get the point P' = (y, -x).
For the point (-5, 2), after rotation, the new coordinates become (2, 5).
(iv) When a point P(x, y) is rotated through 90° (clockwise) about the origin O, we get the point P' = (y, -x).
For the point (-5, -2), after rotation, the new coordinates become (-2, 5).
(v) When a point P(x, y) is rotated through 90° (clockwise) about the origin O, we get the point P' = (y, -x).
For the point (0, 2), after rotation, the new coordinates become (2, 0).
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