Practice Page
Directions: Read carefully.

1.
a) Find the image of the point (-3,3) under a translation of 5 units down and 4 units to the right.
Choose:
(1,-1)
(2,-1)
(1,-2) (-3,-2)

b)
Find the image of the point (-3,3) under the translation
(x,y) → (x + 4, y - 2)
Choose:
(1,1)
(4,2)
(0,-2)
(-5,-1)
refgraph1

 

 

2.
ΔDEF is the image of ΔABC under a translation.
Which of the following translations describes this situation?

Choose:
(x,y) → (x + 5, y + 3)
(x,y) → (x - 3, y + 5)
(x,y) → (x + 3, y - 5)
(x,y) → (x - 5, y + 3)
transgraph2

 

 

3.
What is the image of the point (-5,2) under the translation T2,-3 ?

Choose:
(-3,-3)
(-8,4)
(-3,-1)
(-2,0)
transpicBB

 

 

4.
Trapezoid ABCD has coordinates
A(-4,5), B(-2,4), C(-2,2) and D(-4,1). After a translation of 5 units right and 6 units down, what will be the coordinates of the image of point B?
Choose:
(4,-1)
(3,-4)
(1,-1)
(3,-2)
grid7

 

 

5.
A translation moves A(3,5) to B(6,1). What are the coordinates of the image of point (-3,-5) under this same translation?
Choose:
(-5,-3)
(-6,-1)
(0,-9)
(-6,-9)
transpicPA

 

 

6.
Find the coordinates of the image of (2,4) under a translation T3,-5, followed by a reflection ry-axis.
transpicPD
  Choose:
(-5,-1)
(5,-1)
(2,-4)
(-2,-5)

 

 

7.
ΔFUN is shown at the right. Find the coordinates of its image ΔF'U'N' after a translation
(x,y) → (x + 2, y - 2).


Choose:
F(-2,-1), U(5,2), N(2,-5)
F(-2,3), U(5,6), N(3,-5)
F(-2,-1), U(1,2), N(2,5)
F(2,1), U(2,-1), N(4,-2)
refgraph3a

 

 

8.
A translation maps the origin to the point (-2,4). What is the image of point (-5,3) under the same translation?
Choose:
(-7,7)
(-3,-1)
(-3,7)
(-7,1)
transpicPC

 

 

9.
ΔABC has coordinates A(2,-2), B(2,1) and C(4,-2). ΔA'B'C' is the image of ΔABC under T5,-2. What is the relationship between the area of ΔABC and ΔA'B'C'?
 
Choose:
The area of ΔABC is greater than the area of ΔA'B'C'.
The area of ΔABC is less than the area of ΔA'B'C'.
The areas of the two triangles are the same.
There is insufficient information to determine the areas.

 

 

10.
The image of ΔABC under a translation is ΔA'B'C'. Under this translation, B(3,-2) is mapped to B'(1,-1). Using this translation, the coordinates of A' are (-2,2). What are the coordinates of point A?
 
Choose:
(-4,3).
(0,1)
(0,3)
(-4,1)

 

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