Transformations Worksheet

**Page 1**

1.

Describe the translation of triangle PQR to ACB, if the coordinates of point P are (5, 2) and that of point A are (- 5, 5) .

a. | Slide ΔPQR 10 units up and 3 units left to get ΔACB. | ||

b. | Slide ΔACB 3 units up and 10 units left to get ΔPQR. | ||

c. | Slide ΔPQR 3 units left and 10 units up to get ΔACB. | ||

d. | Slide ΔPQR 3 units up and 10 units left to get ΔACB. |

Correct answer : (4)

2.

The point (2, - 8) is first reflected over Y-axis and then reflected over X-axis. What are the coordinates of the final image?

a. | (- 2, 8) | ||

b. | (8, - 2) | ||

c. | (2, 8) | ||

d. | None of the above |

So, the coordinate of the point when reflected over the Y-axis is (- 2, - 8).

When a point is reflected over a horizontal line, the

So, the coordinates of the point after the reflection on X-axis is (- 2, 8).

Correct answer : (1)

3.

Does an equilateral triangle have rotational symmetry? If yes, what is the angle of rotation?

a. | Yes, 60 ^{o} | ||

b. | No | ||

c. | Yes, 120 ^{o} | ||

d. | Yes, 180 ^{o} |

If an equilateral triangle is rotated to 120

So, an equilateral triangle has rotational symmetry and the angle of rotation is 120

Correct answer : (3)

4.

Identify the graph that shows the Figure A, rotated through 180° in clockwise direction around the origin.

a. | Figure 4 | ||

b. | Figure 2 | ||

c. | Figure 1 | ||

d. | Figure 3 |

Correct answer : (1)

5.

Identify the graph which shows the figure in graph A, rotated through 90° in clockwise direction around the origin.

a. | Graph 1 | ||

b. | Graph 2 | ||

c. | Graph 4 | ||

d. | Graph 3 |

Correct answer : (1)

6.

Identify the graph that shows the figure in graph A, rotated through 180° in anti-clockwise direction around the origin.

a. | Graph 1 | ||

b. | Graph 4 | ||

c. | Graph 3 | ||

d. | Graph 2 |

Correct answer : (3)

7.

Identify the graph that shows the figure in Graph A, rotated through 90° in clockwise direction around the origin.

a. | Graph 5 | ||

b. | Graph 3 | ||

c. | Graph 2 | ||

d. | Graph 1 |

The following graph is obtained when the figure in Graph A is rotated 90°clockwise direction around the origin.

Therefore, Graph 2 is the correct answer.

Correct answer : (3)

8.

Identify the graph that shows the rectangle in Graph A, rotated through 180° in anti-clockwise direction around the origin.

a. | Graph 4 | ||

b. | Graph 1 | ||

c. | Graph 3 | ||

d. | Graph 2 |

Correct answer : (4)

9.

Identify the graph that shows the rectangle in Graph A, rotated through 180° in anti-clockwise direction around the origin.

a. | Graph 3 | ||

b. | Graph 2 | ||

c. | Graph 4 | ||

d. | Graph 1 |

The following graph is obtained when the rectangle in Graph A is rotated 180° anti-clockwise direction around the origin.

Therefore Graph 2 is the correct answer.

Correct answer : (2)

10.

Identify the transformation.

a. | rotation | ||

b. | reflection | ||

c. | translation | ||

d. | cannot be determined |

Correct answer : (3)