# Translation Rotation Reflection Worksheet

Translation Rotation Reflection Worksheet
• Page 1
1.
If the triangle ABC is reflected over the line $y$ = - $x$, what will be the new coordinates of the point B?

 a. (- 4, 3) b. (- 4, - 3) c. (- 6, - 1) d. (- 6, 1)

2.
If the triangle ABC is reflected over the line $y$ = - $x$, what will be the new coordinates of the point B?

 a. (- 4, 3) b. (- 6, 1) c. (- 4, - 3) d. (- 6, - 1)

3.
If the triangle ABC is reflected over the line $y$ = - $x$, what will be the new coordinates of the point B?

 a. (- 4, - 3) b. (- 6, 1) c. (- 4, 3) d. (- 6, - 1)

4.
If the triangle ABC is reflected over the line $y$ = - $x$, what will be the new coordinates of the point B?

 a. (- 4, 3) b. (- 4, - 3) c. (- 6, - 1) d. (- 6, 1)

5.
The end points of a segment are A (6, 6) and B (-7, 7). The segment is translated 2 units left and 3 units down. What are the end points of the segment after translation?
 a. A1 (4, 4) and B1 (-9, 4) b. A1 (5, 3) and B1 (-9, 4) c. A1 (4, 3) and B1 (-8, 4) d. A1 (4, 3) and B1 (-9, 4)

#### Solution:

When an object is translated left or right, then the translation becomes horizontal translation.

Horizontal translation results in a change in the value of the x-coordinate after translation.

When an object is translated up or down, then the translation becomes vertical translation.

Vertical translation results in a change in the value of the y-coordinate after translation.

The end points of a segment are A (6, 6) and B (-7, 7) and it is translated 2 units left and 3 units down.

The value of the x-coordinate is decreased by 2 units and the value of the y-coordinate is decreased 3 units after translation.

The end points of the segment after translation (6 - 2, 6 - 3) and (- 7 - 2, 7 - 3) = A1 (4, 3) and B1 (-9, 4)

6.
The pen set in the figure-1 is rotated in the counter clockwise direction as in the figure-2. What is the angle of rotation?

 a. 90o b. 180o c. 360o d. 270o

#### Solution:

The angle of rotation is the angle to which the figure is rotated.

If a figure is rotated by Xo, then the angle of rotation is Xo.

The pen set in the figure-1 is rotated by 270o in the counter clock wise direction to get figure-2.

The angle of rotation is 270o.

7.
The end points of a segment are A (5, 2) and B (-3, 1). The segment is translated 3 units left and 2 units upwards. What are the end points of the segment after translation?
 a. A1 (2, - 4) and B1 (- 6, 3) b. A1 (2, 4) and B1 (6, 3) c. A1 (2, 4) and B1 (- 6, 3) d. A1 (2, 4) and B1 (- 6, - 3)

#### Solution:

When an object is translated left or right, the translation becomes horizontal translation.

Horizontal translation is the change in the value of the x-coordinate after translation.

When an object is translated up or down, the translation becomes vertical translation.

Vertical translation is the change in the value of the y-coordinate after translation.

The end points of a segment are A (5, 2) and B (- 3, 1) and it was translated 3 units left and 2 units up.

The value of the x-coordinate is decreased by 3 units and the value of the y-coordinate is increased by 2 units after translation.

The end points of the segment after translation: (5 - 3, 2 + 2) and (- 3 - 3, 1 + 2) A1 (2, 4) and B1 (-6, 3)

8.
A change of position or size of a figure is called ________.
 a. Translation b. Transformation c. An image d. Both Translation and Transformation

#### Solution:

A transformation is a change of position or size of a figure.

9.
If a figure is rotated $x$o ($x$ ≤ 180o) and the image matches the original figure, then the figure has __________.
 a. Reflection symmetry b. Rotational symmetry c. Translation symmetry d. Both A and B

#### Solution:

A figure has rotational symmetry, if you can rotate it 180° or less so that its image matches to the original figure