Geometry
Worksheet #2
Name:
Date:
Per:
1. Which of the following scale factors is a reduction?
a) 3 : 1
b) 0.75 : 0.5
c) 2 : 3
d) 1.0055 : 1
c) 0.088 : 0.5
d) 6.5 : 7
2. Which of the following scale factors is an enlargement?
a) 1.00002 : 1
b) 4 : 5
3. Circle whether the following situations are enlargements or reductions.
a)
b)
C
c)
C
C'
C'
B
O
D'
D
O
D'
B'
B'
D
B'
B
O
B
Reduction
or
Enlargement
Reduction
or
Enlargement
Reduction
or
Enlargement
4. Determine whether the dilation is an enlargement or a reduction and then determine the scale factor.
Place the scale factor in the most reduced form (no decimals).
a) Enlarge or Reduce
b) Enlarge or Reduce
_____ : _____
_____ : _____
c) Enlarge or Reduce
_____ : _____
B
B'
12 cm
C
3 cm
C'
H'
A'
2 cm
16.5 cm
B
C
_____ : _____
B'
B
1 cm
d) Enlarge or Reduce
B'
C'
1 cm
O
A
H
15 cm
5.5 cm
C
C'
5. Use the given diagram to answer the following questions about the dilation (centered at O with k = ¼).
OA = 6 cm, OB = 7 cm, and AB = 8 cm
A
6 cm
A'
a) A’B’ =
b) OB’ =
O
8 cm
c) OA’ =
d) AA’ =
B'
7 cm
e) BB’ =
f) What is the ratio of OA’ : AA’?
B
6. Tiffany sees this given dilation and claims that the scale factor is 2 because 4 is twice as big as 2. Is this
a scale factor of 2? Explain.
O
2
C
A
4
B
A'
C'
B'
7. Determine the missing point.
D
a)
G
H
DH ,4 ( B)  (______)
B
b)
O
F
DH ,3 ( H )  (______)
C
E
c)
D
C,
1
2
(______)  ( F )
8. Using a compass and straightedge dilate the given figure with a scale factor of 1.75.
A
B
C
D
Using a compass and a straightedge, dilate each figure with the given scale factor and center.
9. k = 2; Center: D
D
B
A
C