Skills Practice Workbook - Glencoe

9–7
Skills Practice
Find the value of each variable for each pair of similar triangles.
1. A
2. A
3.
18
15
C 12 B
T
R
z y
x
S
Perimeter of �RST � 30 Perimeter of �ADE � 24 Perimeter of �OPS � 9
x � 8, y � 10, z � 12 x � 6, y � 8, z � 10 x � 3, y � 3, z � 3
4. 5. 6.
Perimeter of �MNO � 11 Perimeter of �DEF � 51 Perimeter of �QPZ � 168
x � 5, y � 3, z � 3 x � 16, y � 12, z � 23 x � 49, y � 49, z � 70
Determine the scale factor for each pair of similar triangles.
Z
18
C
15
15
X
A
B
38
25
30
NAME DATE PERIOD
Perimeters and Similarity
M
x N
O
y
z
A
M
9
Y
19
15
B
2
3
7. �XYZ to �MBA � 8. �ADX to �MYB � 9. �FHA to �BLN
1
1
1
1
10. �MBA to �XYZ � 11. �MYB to �ADX � 12. �BLN to �FHA
2
3
13. The perimeter of �BDE is 72 feet. If �BDE � �FMR and the scale factor of
4
�BDE to �FMR is , find the perimeter of �FMR. 90 ft
� 5
A
A
M
3
N
18
5
4
32
46
27
x
P
© Glencoe/McGraw-Hill 53 Geometry: Concepts and Applications
E
X
C
15
24
z
y
B
D x
D
M
z
D
Y
9
5
6 B
F
y
E
A
H
14
R
10
20
T 14 S
28
24
N
F
10
F
x
Z
Q
12
H
10
42
36
G
y
z
O
x y
S z P
L
B
2
� 3
3
� 2
P
18