Practice Page
Directions: Read carefully.

1.
Given the graph at the right.
a) Which mapping will be equivalent to the vector's movement in this graph?
Choose:
(x, y) → (x - 2, y - 4)
(x, y) → (x - 4, y - 2)
(x, y) → (x + 2, y + 4)
(x, y) → (x + 4, y + 2)

b) What are the coordinates of A ' ?
Choose:
(4,0)
(0,1) (0,2) (1,0)

 

 

2.
Regarding the graph at the right:

Choose:
B
C
E
F


Choose:
E to B
E to G
E to C B to E

 


Choose:
E
B
G
D

 

 

3.
a) Name the vector used to map the pre-image to the image.
 Choose:

b) If this vector is now applied to the image to produce another translated triangle, what will be the coordinates of C'' ?
Choose:
(-1,4)
(-3,1)
(3,1)
(4,-1)

 

 

4.

a) Do the brothers end up at the same location?
b) If each unit on the graph represents one mile, which brother traveled the shortest distance?
c) What was the combined distance traveled by the three brothers to the nearest mile?

 

 

5.


Choose:
(4,3)
(-1,-1)
(-3,4)
(3,-3)

 

 

6.
The Willow Stream Golf Course wants to move the hole on the 18th green from its current position to a position near the narrow section of the green. What translation vector would represent this change? Choose:

 

 

7.
If the following mapping occurred on a coordinate grid, what vector could be used to represent this translation?
(6,-2) → (-5,8)
 Choose:

 

 

8.
Given the diagram at the right.
a) If the translation vector is,
express the translation as a coordinate mapping.
Choose:
(x, y) → (x - 3, y - 4)
(x, y) → (x - 4, y - 3)
(x, y) → (x + 3, y + 4)
(x, y) → (x + 4, y + 3)

b) What distance does each point move under this translation? (express in "grid units")
  Choose:
3 4 4½ 5

 

 

9.
A figure is translated so that the image of A has coordinates (3,1).

a) What translation vector represents this translation?
Choose:
 
b) What is the image of B after this translation?
 Choose:
(-2,-5)
 (-1,0)
(-1,4)
(2,5)

c)What is the image of C after this translation?
Choose:
(3,9)
 (6,12)
(3,12)
(0,8)

 

 

10.
The image at the right has four points, A, B, C, D, that lie on integer coordinates of the grid.

Draw the sequence of translations:
(show the positions as you progress)
1: reflect over the x-axis, followed by
2: (x, y) → (x - 6, y + 1) followed by
3: T1,6  followed by
4:

 

divider

NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation
 and is not considered "fair use" for educators. Please read the "Terms of Use".