Name: ________________________________________________ Period: ___________ Date: ___________
PRE-ALGEBRA: TRANSFORMATIONS – DILATIONS
1) Hexagon A’B’C’D’E’F’ is a dilation of Hexagon
ABCDEF. Find the scale factor. Classify the
dilation as a reduction or an enlargement.
2) Pentagon GHIJK is graphed below. Draw and label
Pentagon G’H’I’J’K after a dilation using the rule
x, y    1 x, 1 y  .
3 3 
y
y
10
10
9
C


8
8
7
C’

D
–10 –9
–8
–7
–6
–5

–4

4
–3
–2

E’
6
5
B’
4
3
3
2
2
1
D’
7
I
6
5

–1
–1
1
2
3
4
5

6
7
8
9
10
x
–10 –9
–8
–7
–6
–5
–4
–3
–2
–2
–3

2
3
4
5
6
7
8
9
10
x
–5
J
–6
–7
–7

–8
E
1
–4
F’
–6

–1
–1
–3
–5
G
1
A
A’
–2
–4
H

9
B
–8
F
–9
K
–9
–10
–10
3) Dilate hexagon LMNOPQ using the rule
x, y    3 x, 3 y  .
2 2 
4) Draw and label Triangle R’S’T after a dilation of
Triangle RST using the rule x, y   2x,2 y  and
1 1 
Triangle R”S”T” using the rule  x, y    x, y  .
y
2 2 
y
10
10
9
9
8
8
7
7
6
6
5
5
N

4
3
2
L
4
3
M
S

2
1
R
1
–10 –9
–10 –9
–8
–7
–6
–5
–4
O’
–3
–2
–1
–1
1
–3
–5
–6
–7
–8
–9
–10
3
4
5
6
7
8
9
10
–7
–6
–5
–4
–3
–2
x
P
–1
–1
–2
Q
–2
–4
2
–8
–3
T
–4
–5
–6
–7
–8
–9
–10
1
2
3
4
5
6
7
8
9
10
x
5) Dilate and graph Triangle UVW using the rule
x, y    1 x, 1 y  .
3 3 
6) Dilate and graph Triangle XYZ using the rule
x, y   2x,2 y  . What is the measure of Y ' Z ' ?
y
y
10
10
9
9
8
8
7
7
V
6
6
5
5
4
4
X
U
3
3
2
2
1
1
–10 –9
–8
–7
–6
–5
–4
–3
–2
–1
–1
1
2
3
4
5
6
7
8
9
10
–2
–3
–4
W
–5
–6
–7
–8
–9
–10
x
–10 –9
–8
–7
–6
–5
–4
–3
–2
–1
–1
1
2
3
4
5
6
7
8
9
10
–2
Y
–3
Z
–4
–5
–6
–7
–8
–9
–10
7) Triangle ABC has coordinates A (20, 15), B (–15,
5) and C (5, – 15). Write the coordinates of the
vertices of the image after a dilation by a scale
1
factor of .
5
8) Quadrilateral DEFG has coordinates D (24, 12),
E (–12, 12), F (–24, –12) and G (12, – 12). Write
the coordinates of the vertices of the image after it
1 1 
is dilated using the rule x, y    x, y  .
3 3 
9) Quadrilateral HIJK has coordinates H (24, 12),
I (–12, 12), J (–24, –12) and K (12, – 12). Write
the coordinates of the vertices of the image after it
5 5 
is dilated using the rule x, y    x, y  .
2 2 
10) Triangle L’M’N’ is the image of Triangle LMN
1 1 
after it is dilated using the rule x, y    x, y  .
2 2 
If the coordinates of M’ are (7, 15), what are the
coordinates of M?
x