ROTATION OF 2D SHAPES WITH GIVEN CENTER OF ROTATION WORKSHEET

Rotate each of the shapes below as instructed, using P as the centre of rotation

Problem 1 :

Rotate 90° counter clockwise about (0, 1).

Solution

Problem 2 :

Rotate 90° clockwise about (-1, -2).

Solution

Problem 3 :

Rotate 180° about (1, 1).

Solution

Problem 4 :

Rotate 90° anticlockwise about (-4, 0).

Solution

Answer Key

1)

A(4, 0) B(5, 0) C (5, 2) D (4, 2)

A'(0, 4) B' (0, 5) C' (-2, 5) D' (-2, 4)

2)  

A(-3, 2) B(-1, 2) C(-1, 4)

A'(2, 3) B'(2, 1) C'(4, 1)

3)

A(-1, 1) B(2, 2) C(2, 4) D(-1, 3)

A'(1, -1) B'(-2, -2) C'(-2, -4) D'(1, -3)

4)

A(2, -3) B(2, -4) C(0, -5) D(0, -2)

A'(3, 2) B'(4, 2) C'(5, 0) D'(2, 0)

Rotate each of the shapes below as instructed, using P as the centre of rotation

Problem 1 :

Rotate 90° clockwise about P.

Solution

Problem 2 :

Rotate 90° counter clockwise about P.

Solution

Problem 3 :

Rotate 180° about P.

Solution

Answer Key

1)  

A (2, 1) B (4, 1) C (4, 2) D (2, 2)

A' (1, -2) B' (1, -4) C' (2, -4) D' (2, -2)

2)

A(1, 1) B(3, 1) C(1, 3)

A'(-1, 1) B'(-1, 3) C'(-3, 1)

3)

A(-1, 1) B (0, 1) C (0, 2) D (2, 2) E (2, 3) F (-1, 3)

A'(1, -1) B' (0, -1) C' (0, -2) D' (-2, -2) E' (-2, -3) F' (1, -3)