Learn about the rules for 90 degree clockwise rotation about the origin.
How do you rotate a figure 90 degrees in clockwise direction on a graph?
Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M’ (k, h).
Workedout examples on 90 degree clockwise rotation about the origin:
1. Plot the point M (2, 3) on the graph paper and rotate it through 90° in clockwise direction, about the origin. Find the new position of M.
Solution:
When the point is rotated through 90° clockwise about the origin, the point M (h, k) takes the image M' (k, h).
Therefore, the new position of point M (2, 3) will become M' (3, 2).
2. Find the coordinates of the points obtained on rotating the point given below through 90° about the origin in clockwise direction.
(i) P (5, 7)
(ii) Q (4, 7)
(iii) R (7, 5)
(iv) S (2, 5)
Solution:
When rotated through 90° about the origin in clockwise direction, the new position of the above points are;
(i) The new position of point P (5, 7) will become P' (7, 5)
(ii) The new position of point Q (4, 7) will become Q' (7, 4)
(iii) The new position of point R (7, 5) will become R' (5, 7)
(iv) The new position of point S (2, 5) will become S' (5, 2)
3. Construct the image of the given figure under the rotation of 90° clockwise about the origin O.
Solution:
We get rectangular PQRS by plotting the points P (3, 1), Q (3, 1), R (3, 1), S (3, 1). When rotated through 90°, P' (1, 3), Q' (1, 3), R' (1, 3) and S' (1, 3).
Now join P'Q'R'S'.
Therefore, P'Q'R'S' is the new position of PQRS when it is rotated through 90°.
4. Draw a quadrilateral PQRS joining the points P (0, 2), Q (2, 1), R (1, 2) and S (2, 1) on the graph paper. Find the new position when the quadrilateral is rotated through 90° clockwise about the origin.
Solution:
Plot the point P (0, 2), Q (2, 1), R (1, 2) and S (2, 1) on the graph paper. Now join PQ, QR, RS and SP to get a quadrilateral. On rotating it through 90° about the origin in clockwise direction, the new positions of the points are
The new position of point P (0, 2) will become P' (2, 0)
The new position of point Q (2, 1) will become Q' (1, 2)
The new position of point R (1, 2) will become R' (2, 1)
The new position of point S (2, 1) will become S' (1, 2)
Thus, the new position of quadrilateral PQRS is P'Q'R'S'.
● Related Concepts
● Order of Rotational Symmetry
● Reflection of a Point in xaxis
● Reflection of a Point in yaxis
● Reflection of a point in origin
● Rotation
● 90 Degree Clockwise Rotation
● 90 Degree Anticlockwise Rotation
7th Grade Math Problems
8th Grade Math Practice
From 90 Degree Clockwise Rotation to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
