Translation Rotation Reflection Worksheet

**Page 2**

11.

The point (3, -4) is first reflected over Y-axis and then reflected over X-axis. What are the coordinates of the final image?

a. | (4, -3) | ||

b. | (3, 4) | ||

c. | (-3, 4) | ||

d. | None of the above |

So, the coordinate of the point when reflected over the Y-axis is (-3, -4).

When a point is reflected over a horizontal line, the

So, the coordinates of the point after the reflection on X-axis is (-3, 4).

Correct answer : (3)

12.

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

a. | Yes, 90 ^{o} | ||

b. | No | ||

c. | Yes, 180 ^{o} | ||

d. | Yes, 120 ^{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 : (4)

13.

What is the translation of the rectangle shown in the figure, if the coordinates of K and K^{1} are (-5, 1) and (-3, -3)?

a. | Horizontal 4 and vertical -2 | ||

b. | Horizontal 2 and vertical 4 | ||

c. | Horizontal 2 and vertical -4 | ||

d. | None of the above |

Horizontal translation = -3 - (-5) = -3 + 5 = 2 units.

Vertical translation = -3 -1 = -4 units.

Correct answer : (3)

14.

If the coordinates of a point are (-3, 5) and after translation the coordinates are (3, 5), then what is the translation?

a. | 6 units right | ||

b. | 6 units left | ||

c. | 3 units right | ||

d. | None of the above |

The

Translation = 3 - (-3) = 3 + 3 = 6 units right.

Correct answer : (1)

15.

The coordinates of a line segment are (3, 2) and (1, -4). What are the new coordinates of the line segment, if it is translated 3 units left?

a. | (0, 2) and (-2, -4) | ||

b. | (0, 2) and (-2, 4) | ||

c. | (0, -2) and (-2, -4) | ||

d. | None of the above |

The translation is done by 3 units left.

Since, the translation is done to left, the

3 - 3 = 0 and 1 - 3 = -2.

[

The new coordinates of the line segment are (0, 2) and (-2, -4).

Correct answer : (1)

16.

After translation of the point D (3, 4), the new coordinates are D^{1} (7, 4). What is the translation?

a. | 4 units left | ||

b. | 4 units right | ||

c. | 4 units up | ||

d. | None of the above |

As the

The translation of the point is 7 - 3 = 4 units to the right.

Correct answer : (2)

17.

The coordinates of point A of the triangle ABC are (-4, 4). If the triangle is reflected on X-axis, what are the coordinates of A^{1}?

a. | (3, 4) | ||

b. | (4, 4) | ||

c. | (-4, -4) | ||

d. | None of the above |

Since A is 4 units up from the

The coordinates of point A

Correct answer : (3)

18.

What would be the image of a polygon reflected over a line with respect to the original polygon?

a. | Similar | ||

b. | Congruent | ||

c. | Increase in size | ||

d. | None of the above |

So, the image of the polygon reflected over a line is congruent with respect to the original polygon.

Correct answer : (2)

19.

What are the coordinates of the point P(-5, -7), when reflected over the line $x$ = 5?

a. | (15, -7) | ||

b. | (-10, 7) | ||

c. | (10, 7) | ||

d. | None of the above |

The point P(-5, -7) is reflected over the line

The distance of the point from the line

So, the image of the point will be 10 units away from the line

The

So, the coordinates of the image of the point P(-5, -7) along

Correct answer : (1)

20.

When corresponding points of an original figure and its reflection are connected, the resultant segments will be _________ to the line of reflection.

a. | Parallel | ||

b. | Perpendicular |

So, the resulting segments will be perpendicular to the line of reflection.

Correct answer : (2)