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)


Answer: (d)


Correct answer : (4)
 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)


Answer: (b)


Correct answer : (2)
 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)


Answer: (b)


Correct answer : (2)
 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)


Answer: (d)


Correct answer : (4)
 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)


Correct answer : (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.


Correct answer : (4)
 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)


Correct answer : (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.


Correct answer : (2)
 9.  
If a figure is rotated xo (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


Correct answer : (2)
 10.  
A figure is moved so that every point moves the same distance in the same direction. What is this process known as?
a.
Reflection
b.
Translation
c.
Rotation
d.
None of the above


Solution:

A translation moves a figure such that every point moves the same distance in the same direction.


Correct answer : (2)

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