Practice Page
Directions: Read carefully.

1.
a) Find the image of the point (-3,3) under a dilation in the origin of scale factor ½.
Choose:
(1.5,1.5)
(3,3)
(-1.5,1.5) (-3,-3)

b)
Find the image of the point (-3,3) under a dilation in the origin of scale factor 1.5.
Choose:
(-5,5)
(4.5,3)
(5,-5)
(-4.5,4.5)
refgraph1

 

 

2.
Under a dilation centered in the origin, rectangle A becomes rectangle B.
What is the scale factor for this dilation?


Choose:
2
3
rectAB

 

 

3.
ΔABC has the vertices shown. Find the coordinates of its image, ΔA'B'C', after a dilation of
d13
Choose:
A'(18,18), B'(27,0), C'(9,-9)
A'(3,18), B'(9,0), C'(1,-9)
A'(2,2), B'(3,0), C'(1,-1)
A'(3,3), B'(4.5,0), C'(1.5,-1.5)
greendil90

 

 

4.
ΔABC has A(-2,-2), B(-1,2) and
C
(2,1). After a dilation centered at the origin, ΔA'B'C' has A'(-4,-4),
B'(-2,4) and C'(4,2). What is the scale factor of the dilation?

Choose:
-2
2
½
coor1

 

 

5.
Pentagon ABCDE is shown. What will be the coordinates of the image of D after a dilation of scale factor ½ centered in the origin?
Choose:
(-1, -½)
(-1,½)
(0,-½)
(0,½)
refpentagon

 

 

6.
Rectangle ABCD is shown. What are the coordinates of the image of point B after a dilation of scale factor 2 centered in point A?

Choose:
(2,8)
(2,4)
(4,4) (7,4)
notorigin

 

 

7.
ΔFUN is shown at the right. Find the coordinates of its image ΔF'U'N' under a dilation of 3 centered in the origin.

Choose:
F(-8,2), U(6,8), N(0,-6)
F(-2,½), U(1½,2), N(0,-1½)
F(-12,3), U(9,12), N(3,-9)
F(-12,3), U(9,12), N(0,-9)
refgraph3a

 

 

8.


Arrow B is the result of one, or more, transformation on arrow A,
as shown at the right.

Which choice describes the transformation(s)?
arrowAB
  Choose:
dilation of A, scale factor 2, center origin.
dilation of A, scale factor 2, center origin, followed by a translation of 4 units down.
dilation of A, scale factor 3, center origin, followed by a translation of 2 units down.
dilation of A, scale factor 3, center origin, followed by a translation of 4 units down.

 

 

9.
ΔABC is graphed as shown. What are the coordinates of the vertices of the image ΔA'B'C' after a dilation of scale factor 32 centered in the origin?
Choose:
A(2,9), B(3,0), C(-3,3)
A(4½,9), B(3,0), C(-3,3)
A(4½,9), B(3,1½), C(-3,3)
A(9,18), B(6,0), C(-6,6)
purpletri

 

 

10.
A dilation centered in the origin, O, creates ΔDEF as the image of ΔABC.
a) What is the scale factor for this dilation?

Choose:
¼
½
2

b)
The length of OC is rad2. What is the length of OF ?

Choose:
2rad2
2
rad4
4
redbluedil

 


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