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Name _______________________________________ Date ___________________ Class __________________
Practice A
Similarity and Transformations
Apply the dilation D to the polygon with the given vertices. Name the
coordinates of the image points. Identify and describe the
transformation.
1
1 
1. D (x, y)   x, y 
2 2 
A(4, 10), B(–6, 4), and C(4, –4)
3. D (x, y)  ( 1.5 x,1.5 y )
G(1, –2), H(1, –4), J(5, –2)
2. D (x, y)  (3x, 3y)
P(1, –1), Q(2, 1), R(–2, 1)
1
1 
4. D (x, y)   x, y 
3 3 
L(–3, 3), M(3, 6), N(3, –3)
Determine whether the polygons with the given vertices are similar.
Support your answer by describing a transformation.
5. A(–6, 3), B(–3, 9), C(3, 6)
G(–2, 1), H(–1, 3), J(1, 2)
6. P(2, 2), Q(2, 4), R(4, 6), S(6, 6)
T(1, –1), U(1, –2), V(2, –3), W(3, –3)
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Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
1
;
3
5. 2 cm
4.yes;
4. L'(–1, 1), M'(1, 2), N'(1, –1); dilation with
X QRST  X UVWX
7. 24
9. 16.8 m
center (0, 0) and scale factor
6. 320
1
3
5. Yes; it is a dilation with center (0, 0) and
8. 8.1
scale factor
10. 57.5
Challenge
1
.
3
6. Yes; PQRS can be mapped to P'Q'R'S'
by a reflection (x, y). Then P'Q'R'S' can
be mapped to TUVW by a dilation: (x,
1
1 
y)   x, y 
2 2 
Practice B
1.
Problem Solving
1. 6
2. 7 ft 10.5 in.
3. 50 m
4. yes;
5. C
6. G
7. C
8. J
8 5
or
5 8
; dilation with
center (0, 0) and scale factor 2
Reading Strategies
1. D  S; E  P; F  Q; G 
R
2.
2. DE and SP; EF and PQ; FG and QR;
DG and SR
3.
EF FG DG
;
;
PQ QR SR
4.
9 6 3 9
; ; ;
6 4 2 6
3
.
2
6. The side lengths are proportional.
5. All the ratios simplify to
; dilation with
1
center (0, 0) and scale factor
2
7. The ratio would simplify to 1 : 1.
3.
SIMILARITY AND
TRANSFORMATIONS
Practice A
1. A'(2, 5), B'(–3, 2), C'(2, –2); dilation
about (0, 0) with a scale factor of
1
2
2. A'(3, –3), B'(6, 3), C'(–6, 3); dilation
about (0, 0) with a scale factor of 3;
3. A'(1.5, –3), B'(1.5, –6), C'(7.5, –3);
dilation about (0, 0) with a scale factor
of 1.5
; dilation with
center (0, 0) and scale factor 1.5
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Holt McDougal Geometry