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Worksheets

Triangles

Total questions: 21

Worksheet time: 25mins

Name
Class
Date
1.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
2.
What is the value of x?
a)
75
b)
80
c)
63
d)
60
3.
Which angle is the vertex angle?
a)
<C
b)
<A
c)
<B
4.
a)
60
b)
120
c)
15
d)
30
5.
Use the picture to answer the question.
a)
76
b)
28
c)
152
d)
56
6.
Find the measure of the indicated angle. 
a)
145 degrees
b)
24 degrees
c)
20 degrees 
d)
21 degrees
7.
If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.
a)
sides
b)
vertices
c)
angles
d)
measures
8.
Find x
a)
60
b)
48
c)
30
d)
28
9.
Isosceles triangles always have EXACTLY two congruent angles.
a)
True
b)
False
10.

What is the length of DF?

a)

8

b)

4

c)

25

d)

71

11.

What is the value of x?

a)

107

b)

34

c)

112

d)

73

12.

Find the value of m and n. [Ans: m, n]

a)

30,60

b)

60, 30

c)

60, 45

d)

90, 60

13.

Find the length of LM.

a)

4

b)

5

c)

3

d)

6

14.
What is statement #2?
a)
∠ABC≅∠EDC
b)
∠BCA≅∠DCE
c)
BC≅CD
d)
∠E≅∠A
15.

What is reason #2?

a)

Definition of segment bisector

b)

Definition of Perpendicular

c)

Definition of angle bisector

d)

Reflexive Property

16.

Identify any common angles or sides

a)

JK

b)

<MJK

c)

LK

d)

<MKJ

17.

Name the side or angle that is overlapping.

a)

UX

b)

UV

c)

VW

d)

XW

18.
Name a pair of overlapping congruent triangles and state how.  (Hint: they have to be overlapping)
a)
∆AQT ≅ ∆SQT by SAS
b)
∆TAR ≅ ∆TSP by AAS
c)
∆TAR ≅ ∆TSP by ASA
d)
∆AQT ≅ ∆SQT by SSA
19.

What is the reason for Step 4?

a)

Substitution Property

b)

Angle Addition Postulate

c)

Segment Addition Postulate

d)

Triangle Angle Sum Theorem

20.

According to the diagram at the right, which statement is true?

a)

ΔDEHΔGFH\Delta DEH\cong\Delta GFH by AAS

b)

ΔDEHΔGFH\Delta DEH\cong\Delta GFH by SAS

c)

ΔDEFΔGFE\Delta DEF\cong\Delta GFE by AAS

d)

ΔDEFΔGFE\Delta DEF\cong\Delta GFE by S

21.
What does CPCTC stand for?
a)
Corresponding Parts of Congruent Triangles are Congruent
b)
Congruent Parts of Congruent Triangles are Corresponding
c)
Colorful Pieces of Corresponding Triangles are Congruent
d)
Congruent Pieces of Congruent Triangles are Congruent