Practice the questions given in the worksheet on 90 degree clockwise rotation about the origin. The questions are based on how to rotate a shape about the origin 90° clockwise direction and find its new co-ordinates.

**1.** Find the new position of each of the following points when rotated through 90° clockwise about the origin.

(i) P (-2, -3)

(ii) Q (-5, 7)

(iii) R (9, -5)

(iv) S (2, 5)

**2.** Find the
co-ordinates of the points obtained by rotating the following point through 90°
clockwise about the origin.

(i) A (2, -3)

(ii) B (2, 5)

(iii) C (-5, -7)

(iv) D (-2, -8)

**3.** Plot the point
P (-3, -7) on the graph paper. Find the new position of P i.e. P’ when it is
rotated through 90° clockwise direction about the origin.

**4.** Draw a
triangle ABC on the graph paper where the co-ordinates of A, B, C are A (-2,
3), B (4, 2) and C (-3, 0). Rotate it about the origin through 90° in clockwise
direction. Find the new position of the points A, B and C.

**5.** Plot the
points M (-3, -1) and N (-2, 4) on the graph paper. Join MN. Rotate the line
segment MN about the origin through 90° in clockwise direction and write the
co-ordinates of M' and N'.

Answers for the worksheet on 90 degree clockwise rotation are given below to check the exact answers of the above questions for finding the new position when the point is rotated through 90° clockwise about the origin.

**Answers:**

**1.** (i) P' (-3, 2)

(ii) Q' (7, 5)

(iii) R' (-5, -9)

(iv) S' (5, -2)

**2.** (i) A' (-3,
-2)

(ii) B' (5, -2)

(iii) C' (-7, 5)

(iv) D' (-8, 2)

**3.** P' (-7, 3)

**4.** A' (3, 2), B'
(2, -4), C' (0, 3)

**5.** M' (-1, 3) and
N' (4, 2)

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