Name
Date
Class
Practice A
LESSON
8-6 Congruent Polygons
Match each polygon in column A with a congruent polygon in
column B.
Column B
Column A
A.
1.
40°
2.
120°
60°
75°
65°
130°
120°
B.
130°
50°
60°
40°
65°
75°
50°
C.
3.
120°
60°
60°
30°
120°
60°
D.
4.
50°
50°
30°
130°
130°
60°
Write a congruence statement.
5. A
D
40°
50°
B
6. A
40°
65°
115°
D
50°
C F
115°
E
B
65°
M
C
T
115°
65°
65°
115°
N
R
A
Triangle ABC is congruent to triangle WXY.
7. Find d.
8. Find t.
10
C
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49
65°
60°
W
s°
15
55°
18
m
d
B
Y
r°
t°
n
X
Holt Mathematics
Practice B
8-6 Congruent Polygons
Practice A
8-6 Congruent Polygons
LESSON
LESSON
Write a congruence statement for each pair of polygons.
Match each polygon in column A with a congruent polygon in
column B.
1. J
Column B
Column A
1.
A.
B
75°
8 35°
120°
60°
40°
65°
2.
130°
120°
130°
50°
triangle JKL triangle TQP
3.
75°
J
8
72°
108°
12
5
B
120°
60°
C.
A
60°
108°
72°
T
8
L
30°
120°
D.
C
30°
50°
108°
P
72°
8
3
Y
F
40°
50°
50°
C F
triangle ABC 65°
115°
115°
D
65°
C
115°
115°
65°
T
N
65°
triangle DEF
7. Find c.
parallelogram ABCD 9. Find y.
parallelogram TRNM
R
A
Triangle ABC is congruent to triangle WXY.
10
8. Find t.
55°
60°
C
55°
r°
18
B
Y
t°
n
Holt Mathematics
87° 12
10
B
112°
4
D
71°
C
15
4
6. Find s.
7. Find t.
W
h7
2n °
m
r°
68°
11. Find c.
3k
12. Find d.
6
(180 s)
s°
15. Find k.
17. Find n.
(3x)°
18. Find r.
19. Find s.
21. Find w.
4
11°
152°
22. Find x.
23. Find y.
5
132°
90°
P
51
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All rights reserved.
K'
A Q
3x 90
x 30
Q
Use the markings in each diagram.
Complete to write each congruence statement.
148°
2
F
y° D
t° m
E
b5
T
d U
149° c°
1.
T
R
8
20. Find t.
2. X
Y
S O
R J
J
W
U
V
U M
, S O
T Y
,
RS
JO
,
W T
R
JY
,
TS O
Y
,
UV
X
W
H
T
,
JOY
128°
A
3. Look at the figure from Exercise 1. If
YJ 10, OJ 8, and RS 2x, find
the value of x.
298°
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All rights reserved.
97
M
T
H
, V A
T
, X H
,
A
M
,
VW
T
A
,
,X
U
M
H
quad. UVWX 24. Find z.
,
quad. MATH
4. Look at the figure from Exercise 2.
If mX 75°, mW 70°, and
mH 5y, find the value of y.
y 15
x4
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All rights reserved.
K J'
JKL JKL
ABC QPR
RST 32°
R
B
C
88° V
2a
5
s°
W
Z 128°
146°
h
( )
3 132°
X 4
k
Y
3
J
3x
90
3
3
(180 n)° S
16. Find m.
In a congruence statement, the vertices of
the second polygon are written in order of
correspondence with the first polygon.
L
L'
Congruence relations can be used to find unknown values.
4
2
3
12
4
Holt Mathematics
JK
JK
K
L
KL
L
J LJ
71°
14. Find h.
56°
50
Corresponding sides are congruent.
8. Find r.
6 z
( )°
G
13. Find g.
(z 20)°
(Read J as J prime.)
t°
Y
9w
A
B
3 x 8r °
152
3
(90 g)°
H 137°
C
8
137°
H
c
15°
J J K K L L
j1
Z
87°
10. Find b.
1
y°
J
10°
Corresponding angles are congruent.
X
Find the value of the variables if octagon ABCDEFGH is
congruent to octagon VWXYZSTU.
9. Find a.
b6
3a
35° 105°
R
10
T
4x °
F
10. Find z.
Congruent polygons have
the same size and shape.
A
45°
P
40°
4
12
15
8. Find x.
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quadrilateral YZWX.
4. Find k.
5. Find n.
135° 85°
10
Y
7
Review for Mastery
8-6 Congruent Polygons
22
9
W
LESSON
A
3. Find j.
5
145°
7
135°
D
V
140°
Z 125°
125° C
10
8
11
X
2. Find h.
4
P
m
d
Practice C
8-6 Congruent Polygons
1. Find m.
21
T
11
9
105°
LESSON
In the figure, quadrilateral ABCD
R
87°
s°
15
49
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5
85°
W
65°
10
L
B
6. Find b.
10
M
8
triangle FJH.
4
E
B
15
J
100°
88°
hexagon ABCDEF hexagon VTZYXW
5. Find a.
40°
8
A
140°
145°
85°
In the figure, triangle PRT
D
85°
21
5
130°
Write a congruence statement.
7. Find d.
4.
trapezoid BJLT trapezoid KDYP
50°
130°
B
D
8
K
72°
108°
12
5
E
60°
5. A
87°
H
quadrilateral BDLK quadrilateral JHRP
60°
4.
6. A
K
T
40°
65°
50°
3.
5
D
15
88°
100°
8
60°
B.
D
B
8 35° 10
10
55°
K
6
L
2.
6
Q
55°
P
52
Holt Mathematics
Holt Mathematics