Practice 7-8: Creating and Exploring Similar Figures

Name _________________________________________________
Practice
7-8
Creating and Exploring
Similar Figures
Tell if the figures are similar. If they are, write a similarity statement
using , and give the scale factor. If they’re not, explain why not.
Similar; RSUT , WXYV; 2
1. ________________________________
R
Not similar; Different angles
2. ____________________________________
10
S
5
T
1208
V
12
1208
608
U
608
1158
W
658
6
658
Y
X
Similar; nABC , nFDE; }34}
3. ________________________________
A
538
C
4. ____________________________________
30
40
D
I
2.3
J
M
3.3
N
E
378
24
4.}
3Þ}
3.}
3
Not similar; }
3.3
2.3
B
32
1158
378
24
538 18
F
3.3
L
4.3
K
Q
P
5. Draw two rhombuses that are similar and two that are not similar.
Similar:
Not Similar:
1138
m/E 5 ______
868
m/F 5 ______
718
m/G 5 _____
908
m/H 5 _____
7. The One Liberty Place building in Philadelphia, Pennsylvania, is
945 feet tall. A model of this building used in a movie set is 18
inches tall. Find the scale factor of the model to the real building.
1 : 630 or 1 in. : 52.5 ft
__________________________________________________________________________
8. Fine Arts Leonardo da Vinci’s famous painting, the Mona Lisa,
measures 53 cm 3 77.5 cm. Suppose a postcard reproduction of
the painting measures 12 cm 3 17 cm. Is the postcard similar to
the original? Explain.
17}
No. Possible explanation: }152}3 Þ }
77.5
__________________________________________________________________________
Use with pages 360–364.
77
© Scott Foresman • Addison Wesley 7
6. Suppose ABCD , FEHG. If m/A 5 868, m/B 5 1138, m/C 5 908,
and m/D 5 718, find the measures of /E, /F, /G, and /H.

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