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Subskill # 51
Geometry: Congruency and Similarity I
For problems 1 through 4, select the two congruent figures in each of the
following groups.
1.
#1
A.
B.
C.
D.
2
1
2
1
and
and
and
and
2.
#3
#2
#4
3
3
4
4
#1
#2
#3
#4
14”
14”
18”
16”
18”
15”
2
1
1
2
16”
16”
16”
14”
A.
B.
C.
D.
14”
16”
and
and
and
and
3
3
4
4
3.
#1
#2
#3
#4
50°
60°
45°
X
A.
B.
C.
D.
2
2
3
1
and
and
and
and
40°
16”
55°
45°
X
X
X
60°
40°
3
4
4
3
Vocational Preparatory Instruction
Mathematics
Subskill # 51
Geometry: Congruency and Similarity I
#2
#1
4.
50°
45°
45°
A.
B.
C.
D.
5.
1
1
2
1
and
and
and
and
#3
#4
60°
45°
45°
45°
40°
2
4
3
3
Two triangles are congruent, if, in both triangles,
A.
B.
C.
D.
Three angles are equal
Two angles are equal
Two angles and the side between them are equal
Two sides are equal
Select the two similar figures in the following groups.
6.
#1
A.
B.
C.
D.
3
1
2
1
#2
and
and
and
and
#3
#4
4
4
3
3
Vocational Preparatory Instruction
Mathematics
Subskill # 51
Geometry: Congruency and Similarity I
7.
#1
A.
B.
C.
D.
3
1
1
2
and
and
and
and
#3
#2
#4
4
3
4
3
8.
#1
#2
#3
#4
15
20
12
18
15
28
10
A.
B.
C.
D.
1
3
2
1
and
and
and
and
2
4
3
3
Vocational Preparatory Instruction
21
Mathematics
Subskill # 51
Geometry: Congruency and Similarity I
For problems 9 and 10, compare the two sets of congruent triangles below.
What is the measure of the missing side?
9.
13
?
35°
35°
10
5
A.
B.
C.
D.
10
5
15
13
10.
8
50°
10
A.
B.
C.
D.
50°
12
?
12
10
18
8
In the following figure, triangles ABC and CXY are similar. Using this
information, answer questions 11 through 13.
A
B
60
m
70
C m
14
m
12
m
X
11.
Y
17
m
Which side corresponds to side
XC?
A.
B.
C.
D.
AC
AB
CB
XY
Vocational Preparatory Instruction
12.
Which side corresponds to side
YC?
A.
B.
C.
D.
AC
AB
CB
XY
Mathematics
Subskill # 51
13.
What is the length of AB?
A.
B.
C.
D.
14.
Geometry: Congruency and Similarity I
65
32
20
85
A picture printed on a letter size
(8½” by 11”) paper needs to be
enlarged. The longer size of the
enlargement measures 16½”.
What is the length of the shorter
side?
A.
B.
C.
D.
21
33
12¾”
18
15. The two rectangles below are
similar. What is the area of the
smaller rectangle?
16”
8”
4”
A.
B.
C.
D.
64 sq”
16 sq”
8 sq”
32 sq”
Vocational Preparatory Instruction
Mathematics
Subskill # 51
Geometry: Congruency and Similarity I
Vocational Preparatory Instruction
Mathematics
Subskill # 51
Geometry: Congruency and Similarity I
Answer Key
1.
D
2.
B
3.
C
4.
D
5.
C
6.
B
7.
B
8.
D
9.
D
10. B
11. C
12. A
13. D
14. C
15. C
Vocational Preparatory Instruction
Mathematics