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Worksheets

Triangles

Total questions: 45

Worksheet time: 2hrs 52mins

Name
Class
Date
1.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
2.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
3.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
4.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
5.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
6.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
7.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
8.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
9.
∆EHG≅∆KFC
Which is a true statement?
a)
EH≅FK
b)
HG≅KF
c)
EG≅KC
d)
∠E≅∠C
10.
 ∠A = ≅
a)
∠M
b)
∠N
c)
∠L
11.
If ∆PIG ≅ ∆COW, WO≅?
a)
GI
b)
PI
c)
PG
12.
All corresponding angles in congruent figures are congruent.  
a)
True
b)
False
13.
What does SSS prove?
a)
Nothing
b)
Triangles similar
c)
Triangles congruent
d)
Triangle angle sum
14.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
15.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
16.

Which pair of triangles can be proven congruent by the AAS Theorem?

a)
b)
c)
d)
17.

For the AAS Theorem to apply, which side of the triangle must be known?

a)

the included side

b)

the longest side

c)

the shortest side

d)

a non-included side

18.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
19.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
20.
a)
A
b)
B
c)
C
d)
D
21.
a)
72
b)
67
c)
65
d)
54
22.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
23.
What is the value of x?
a)
75
b)
80
c)
63
d)
60
24.
Name a midsegment of ⌂ABC
a)
segment AC
b)
segment DE
c)
segment AB
d)
segment BC
25.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
26.

Name the segment/line/ray shown.

a)

perpendicular bisector

b)

angle bisector

c)

median

d)

altitude

27.
Solve for X
a)
7.5
b)
4.8
c)
13.33
d)
5
28.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
29.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
30.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
31.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
32.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
33.

What can you use to prove triangles are congruent?

a)

SSS

b)

SAS

c)

SSA

d)

AAS

e)

CPCTC

34.

What can you use to prove triangles are congruent?

a)

AAS

b)

HL

c)

AAA

d)

ASA

e)

CPCTC

35.

For the ASA Theorem to apply, which side of the triangle must be known?

a)

the non-included side

b)

the included side

c)

the longest side

d)

the shortest side

36.
Find the value of x.
a)
6.92
b)
18.67
c)
2.625
d)
13.71
37.
What is sin(A)?
a)
5/13
b)
12/13
c)
5/12
d)
12/5
38.
What is cos(A)?
a)
5/13
b)
12/13
c)
5/12
d)
12/5
39.
What is tan(A)?
a)
5/13
b)
12/13
c)
5/12
d)
12/5
40.

What trig function would you use to solve for the side?

a)

Sine

b)

Cosine

c)

Tangent

41.

What trig function would you use to solve for the side?

a)

Sine

b)

Cosine

c)

Tangent

42.

What trig function would you use to solve for the side?

a)

Sine

b)

Cosine

c)

Tangent

43.
Find x.
a)
60
b)
48
c)
80
d)
100
44.

What is the correct value of x?

a)

6

b)

10.82

c)

7.2

d)

52

45.
Solve for x.
a)
-12
b)
-8
c)
-10
d)
-5