Rotation Worksheet

**Page 1**

1.

Identify the incorrect statement.

I. A rotation is a transformation that turns a figure about a fixed point.

II. A rotation is an isometry.

III. A rotation does not change orientation.

IV. A figure has rotational symmetry, if the image after a rotation of 90° or less exactly fits on the original figure.

I. A rotation is a transformation that turns a figure about a fixed point.

II. A rotation is an isometry.

III. A rotation does not change orientation.

IV. A figure has rotational symmetry, if the image after a rotation of 90° or less exactly fits on the original figure.

a. | III | ||

b. | IV | ||

c. | II | ||

d. | I |

Rotaion is an isometry.

A rotation does not change orientation.

A figure has rotational symmetry if the image after a rotation of 180° or less exactly fits on the original figure.

[Definition of rotational symmetry.]

So, statement IV is incorrect.

Correct answer : (2)

2.

Rotate the given figure, 210° about the point P .

a. | Figure 3 | ||

b. | Figure 1 | ||

c. | Figure 2 | ||

d. | Figure 4 |

Draw a line from A to P.

Use protractor to measure 210° angle with side AP in counter clockwise direction.

Figure 2 makes an angles of 210° with the line AP.

Therefore Figure 2 is the correct answer.

Correct answer : (3)

3.

Recognise the figure which has rotational symmetry with an angle of rotation as 120°.

a. | Figure 2 | ||

b. | Figure 4 | ||

c. | Figure 1 | ||

d. | Figure 3 |

The angle of rotation is

There are 8 spokes in figure 1. So the angle of rotation is

The angle of rotation for figure 2 is

The angle of rotation for figure 3 is

The angle of rotation for figure 4 is

So, the figure with an angle of rotation of 120° is Figure 3 only.

Correct answer : (4)

4.

Identify the center of rotation of the following figure.

a. | Figure 3 | ||

b. | Figure 4 | ||

c. | Figure 1 | ||

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 1.

Correct answer : (3)

5.

Identify the figure which has no rotational symmetry.

a. | Figure 3 | ||

b. | Figure 4 | ||

c. | Figure 2 | ||

d. | Figure 1 |

Figures 1, 2 and 3 has rotational symmetry as the image maps itself if the figure is turned by 180° or less.

Figure 4 does not have rotational symmetry as it cannot map itself when it is turned to 180° or less.

Correct answer : (2)

6.

Rotate the given figure, 180° about P.

a. | Figure 3 | ||

b. | Figure 4 | ||

c. | Figure 2 | ||

d. | Figure 1 |

Use protractor to measure 180° angle with side PQ in counter clockwise direction.

Figure 2 makes an angles of 180° with the actual figure.

Correct answer : (3)

7.

Mark and Dennis are playing ferris wheel which is rotating counter clockwise. If they are at the point marked 2, then what is the angle of rotation to reach the point marked 4?

a. | 100° | ||

b. | 90° | ||

c. | 75° | ||

d. | 120° |

Measure the angle between point marked 2 and point marked 4 extended from the center of the wheel.

The angle is 120°.

Correct answer : (4)

8.

Select the rotational image of the given figure after a rotation of 300° in counter clockwise.

a. | Figure 4 | ||

b. | Figure 1 | ||

c. | Figure 3 | ||

d. | Figure 2 |

Identify the figure that is turned 300°.

The figure which is rotated 300° in couter clockwise is Figure 3.

Correct answer : (3)

9.

Which of the following figures is not the rotational image?

a. | Figure 4 | ||

b. | Figure 3 | ||

c. | Figure 1 | ||

d. | Figure 2 |

Figure 4 is not the rotational image.

[Rotation does not change orientation.]

Correct answer : (1)

10.

Identify the figure which has rotational symmetry.

a. | Figure 2 | ||

b. | Figure 3 | ||

c. | Figure 4 | ||

d. | Figure 1 |

If you can rotate (or turn) a figure around a center point by 180° or less and the figure appears unchanged, then the figure has rotation symmetry.

Figure 3 has rotational symmetry.

Correct answer : (2)