Rotation Worksheet

**Page 2**

11.

What is the angle of rotation about the point P that maps figure 1 to figure 2 ?

a. | 90° | ||

b. | 15° | ||

c. | 120° | ||

d. | 45° |

Mark point A and A'.

Join P to A and A' and measure the angle of rotation.

[Use protractor.]

The angle of rotation is observed as 45°.

Correct answer : (4)

12.

The following figures have rotational symmetry. Determine the angle of rotation for each of them.

a. | 60°, 72°, 60°, 90° | ||

b. | 72°, 60°, 72°, 120° | ||

c. | 60°, 42°, 42°, 120° | ||

d. | 60°, 72°, 72°, 60° |

The angle of rotation is defined as the number of degrees that a figure is rotated about a fixed point.

The angle of rotation is

The angle of rotation for figure 1 =

The angle of rotation for figure 2 =

The angle of rotation for figure 3 =

The angle of rotation for figure 4 =

So the angles are 72°, 60°, 72°, 120°

Correct answer : (2)

13.

Which of the following figures are not the rotational images of the given figure.

a. | Figure 2 and Figure 3 | ||

b. | Figure 2 and Figure 4 | ||

c. | Figure 1 and Figure 4 | ||

d. | Figure 1 and Figure 3 |

Figure 2 and 4 are the images resulting from rotation.

Figure 1 and 3 are not the rotational images.

[Rotation does not change orientation.]

Correct answer : (4)

14.

Recognise the center of rotation of the given figure.

a. | Figure 4 | ||

b. | Figure 1 | ||

c. | Figure 3 | ||

d. | Figure 2 |

For the given figure, the center of rotation is the center of the figure.

The center of rotation is shown in figure 3.

Correct answer : (3)

15.

Which of the following is not the rotational image of the given figure?

a. | Figure 2 | ||

b. | Figure 4 | ||

c. | Figure 1 | ||

d. | Figure 3 |

Figure 3 is not the image obtained from the rotation of the figure shown.

[Rotation does not change orientation.]

Correct answer : (4)

16.

The knob indicates that the machine is 'ON'. What angle should the knob be turned to switch 'LOW' the machine. ( Turn in clockwise direction.)

a. | 180° | ||

b. | 90° | ||

c. | 270° | ||

d. | 180° |

Measure the angle between ON and LOW in clockwise direction.

The angle between them is 90°.

The knob should be turned 90° to LOW the machine.

Correct answer : (2)

17.

Select the rotational image of a figure after a rotation of 315° counter clockwise.

a. | Figure 4 | ||

b. | Figure 3 | ||

c. | Figure 1 | ||

d. | Figure 2 |

Use protractor to measure the angle of rotation.

Figure 4 is rotated to 315°.

So, Figure 4 is the answer.

Correct answer : (1)

18.

Does the following figure have rotational symmetry? If it has, give the angle of rotation.

a. | no | ||

b. | yes, 90° | ||

c. | yes, 180° | ||

d. | yes, 60° |

The angle of rotation is

The angle of rotation =

The figure shown has rotational symmetry as it maps itself if it is turned to 90°.

Correct answer : (2)

19.

Which of the following is the rotational image of the given figure?

a. | Figure 3 | ||

b. | Figure 1 | ||

c. | Figure 4 | ||

d. | Figure 2 |

Figures 1, 3 and 4 are not the rotational images of the given figure.

[Rotation does not change orientation.]

Figure 2 is the rotational image of the given figure.

Correct answer : (4)

20.

Rotate the given figure 45° about point P in clockwise direction. Select the resulting figure.

a. | Figure 2 | ||

b. | Figure 4 | ||

c. | Figure 1 | ||

d. | Figure 3 |

Using protractor measure the angle of rotation in clockwise direction.

Figure 1 is rotated to 45° about the point P

So, Figure 1 is the answer.

Correct answer : (3)