Working with Translations

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Answer the following questions dealing with translations.

1.

 Under the translation
,
the point (2,5) will become (5,7).

True
False

 

 

2.

 Under the translation

the point (-2,3) will become (-3,1).

True
False

 

 

3.

 

 

Under a translation of 5 units up and 2 units to the left, the point (3,4) will become (8,6).
True
False

 


 

4.

 

 

Which vector describes the translation seen on this set of axes?



 


 

5.

 

 

Under the vector
the point (-3,-10) will be translated to ________.

(-1, -7)
(-1, -13)
(-5, -7)
(-5, -13)

 


 

6.
This graph illustrates a translation.

True
False

 


 

7.

 

 

This graph illustrates a translation of

True
False

 

 
 

8.

This graph illustrates a translation of

True
False

 


 

9.

 

 

 This graph illustrates a translation of

True
False

  
 

 

10. a.  Which point is the image of point D under

b.  Which point is the image of point A under

c.  Which point is the image of point B under

 

 

11.

Describe the translation that will move rectangle ABCD onto rectangle A'B'C'D'.

 

 

12.

What single translation accomplishes the same as the translation

followed by

followed by

 (Use the graph to follow the path of these translations.  Start at point A.) 

 

 

13. A logo was created using two rectangles where rectangle A'B'C'D' was the translation of rectangle ABCD.  The table of translations is shown below.

a.  Find the coordinates
  of point B.

b.  Find the coordinates of point D'.

 

c.  Describe the translation used in designing this logo.

 

 

Graph your graph paper and answer the following questions
dealing with translations.

1.

Graph and label the translation of triangle ABC under translation
 

Answer

 

 

2.

A translation maps the origin to the point (-3,1).  Graph the images of the points M, A, T and H under this same translation.

Answer