Practice the questions given in the worksheet on 180 degree rotation in anticlockwise direction or clockwise direction about the origin. The questions are based on how to rotate a shape about the origin 180° counterclockwise direction or clockwise direction and find its new coordinates.
1. Plot the following points on the graph paper. Find the new position of each of these points when rotate through 180° about the origin.
(i) P (0, 9)
(ii) Q (7, 5)
(iii) R (6, 4)
(iv) S (2, 0)
2. Draw a square PQRS with its vertices (2, 3); (2, 3); (2, 1) and (2, 1) respectively. Rotate it through 180° anticlockwise about the origin O and find the coordinates to construct a new square P'Q'R'S'.
3. Find the new position of the following points when rotated through 180° about the origin.
(i) A (5, 4)
(ii) B (2, 1)
(iii) C (3, 4)
(iv) D (5, 9)
4. Plot the point A (4, 2), B (2, 3), C (2, 4) on the graph paper. Rotate the triangle ABC through 180° about origin to the position A'B'C'. Find the coordinates of points A'B'C'.
5. Plot the points X (5, 2) and Y (1, 7) on the graph paper. Join XY. Rotate the line segment XY about the origin through 180° and write the coordinates of X' and Y'.
Answers for the worksheet on 180 degree rotation are given below to check the exact answers of the above questions for finding the new position when the point is rotated through 180° about the origin.
Answers:
1. (i) P' (0, 9)
(ii) Q' (7, 5)
(iii) R' (6, 4)
(iv) S' (2, 0)
2. P' (2, 3); Q' (2, 3); R' (2, 1) and S' (2, 1)
3. (i) A' (5, 4)
(ii) B' (2, 1)
(iii) C' (3, 4)
(iv) D' (5, 9)
4. A' (4, 2), B' (2, 3) and C' (2, 4)
5. X' (5, 2) and Y' (1, 7)
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