Name———————————————————————— Date —————————————
Practice C
Lesson
6.1
For use with the lesson “Use Similar Polygons”
List all pairs of congruent angles for the polygons. Then write the ratios of
the corresponding sides in a statement of proportionality.
1. n STU , n CDE
2. n LMN , n GHI
3. quadrilateral CDEF , quadrilateral MNKL
Determine whether the polygons are similar. If they are, write a similarity
statement and find the scale factor of Figure A to Figure B.
4. L
O
4.5
12
9
5.
B
C
A
6
A
12.8
F
G
8
B
8
E
D
5
H
A
M
Lesson 6.1
B
8
P
T
6
N
In the diagram at the right, quadrilateral BCDE , quadrilateral WXYZ.
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
6. Find the scale factor of quadrilateral BCDE to B
quadrilateral WXYZ.
C
3
7. Find the scale factor of quadrilateral WXYZ to
E
quadrilateral BCDE.
8. Find XY.
4
6
D
Y
Z
9. Find m∠ C.
10. Find the perimeter of quadrilateral WXYZ.
117
X
6
W
Use the given information to find the indicated value.
11. GIVEN: n CDX , n GNZ, the perimeter of n CDX is 48 feet, CX 5 14 feet, and
GZ 5 58.8 feet.
Find the perimeter of n GNZ.
12. GIVEN: n ABC , n DEF, n ABC is isosceles, n ABC has a perimeter of 18 inches
and a leg of length 5 inches, and the base of n DEF is 34.4 inches long.
Find the perimeter of n DEF.
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Practice C continued
Lesson
6.1
For use with the lesson “Use Similar Polygons”
Quadrilateral KLMN , quadrilateral WXYZ. Find the indicated length in terms of
r, s, t, u, and v.
À
13. WX
Õ
Ã
8
Ì
9
14. XY
Û
7
15. YZ
<
Find all possible values of x in the similar triangles.
16. n FGH , n JKL
G
Lesson 6.1
5x
3x 2
17. n PQR , n STU
P
H
13 x
F
K
S
7x
T
Q
7x
x2
L
5x 2
20
x2 5
J
U
R
19. n LMK , n KMN
G
D
N
M
7x
8x 2 1
C
9x
14x 1 6
10x 1 1
L
E
F
H
9x
17x 1 5
K
27x 1 11
20. Shuffleboard The game of outdoor shuffleboard is played on a hard, smooth surface such as concrete.
From a distance, players slide large, 6-inch pucks
toward a triangular scoring region, as shown in the
figure at the right. At the end of each round, any puck
lying entirely within the lines of a scoring region scores
the number of points indicated (7, 8, or 10).
The scoring region contains two similar triangles.
The scale factor of the large triangle (containing all
five regions) to the small triangle (the 10-point region)
is 3 : 1. How many times greater is the total area of the
7- and 8-point regions than the area of the 10-point region?
6-10
10
8
7
8
7
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
18. n CDE , n FGH
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