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Triangle Properties

Total questions: 40

Worksheet time: 48mins

Name
Class
Date
1.

Which set of side lengths would make a triangle?

a)

5 in, 9 in, 3 in

b)

2 ft, 5 ft, 8 ft

c)

4 cm, 3 cm, 6 cm

d)

2 ft, 3 ft, 5 ft

2.

Which set of side lengths can form a triangle?

a)

8.1 yd, 6.3 yd, 3.7 yd

b)

9.2 yd, 5.0 yd, 15.3 yd

c)

3.3 ft, 2.2 ft, 1.1 ft

d)

5.3 in, 8.2 in, 2.4 in

3.

Two sides of a triangle have lengths of 6 feet and 4 feet.

Choose ALL possible lengths that would make a triangle.

a)

2 ft

b)

4 ft

c)

6 ft

d)

8 ft

e)

10 ft

4.

Choose ALL possible side lengths of the third side of a triangle whose other two side lengths are 10 in. and 5 in.

a)

5 in.

b)

8 in.

c)

10 in.

d)

13 in.

e)

19 in.

5.

If two sides of a triangle are 10in and 15in long, which option represents the range the third side can be?

a)

10in < x < 15in

b)

5in < x < 15in

c)

10in < x < 25in

d)

5in < x < 25in

6.

Which side is the longest in ΔEFG

a)

EF‾\overline{EF}  

b)

FG‾\overline{FG}  

c)

GE‾\overline{GE}  

7.

Which side is the shortest in ΔEFG

a)

EF‾\overline{EF}  

b)

FG‾\overline{FG}  

c)

GE‾\overline{GE}  

8.

List the angles in order from BIGGEST to SMALLEST.

a)

∠J, ∠K, ∠L\angle J,\ \angle K,\ \angle L  

b)

∠K, ∠L, ∠J\angle K,\ \angle L,\ \angle J  

c)

∠J, ∠L, ∠K\angle J,\ \angle L,\ \angle K  

d)

∠L, ∠J, ∠K\angle L,\ \angle J,\ \angle K  

e)

∠L, ∠K, ∠J\angle L,\ \angle K,\ \angle J  

9.

Arrange the angles in order from SMALLEST to LARGEST.

a)

∠A, ∠B, ∠C\angle A,\ \angle B,\ \angle C  

b)

∠C, ∠B, ∠A\angle C,\ \angle B,\ \angle A  

c)

∠B, ∠C, ∠A\angle B,\ \angle C,\ \angle A  

d)

∠C, ∠A, ∠B\angle C,\ \angle A,\ \angle B  

e)

∠B, ∠A, ∠C\angle B,\ \angle A,\ \angle C  

10.

Determine the type of triangle shown.

a)

Isosceles Right

b)

Isosceles Acute

c)

Isosceles Obtuse

d)

Scalene Obtuse

11.

Determine the type of triangle shown.

a)

Isosceles Acute

b)

Isosceles Right

c)

Scalene Acute

d)

Scalene Right

12.

Determine the type of triangle shown.

a)

Scalene Acute

b)

Scalene Right

c)

Isosceles Acute

d)

Isosceles Right

13.

Determine the type of triangle shown.

a)

Scalene Acute

b)

Isosceles Acute

c)

Equilateral

d)

Equilateral Right

14.

In triangle CDE: DE=20, EC=3, and CD=18.

What is the largest angle?

a)

Angle C

b)

Angle D

c)

Angle E

15.

In triangle CDE: DE=20, EC=3, and CD=18.

What is the smallest angle?

a)

Angle C

b)

Angle D

c)

Angle E

16.

In triangle NOP:   ∠N=50°\angle N=50\degree  , ∠O=30°\angle O=30\degree   , and ∠P=100°\angle P=100\degree  .

Which side is the longest?

a)

NO

b)

OP

c)

NP

17.

In triangle NOP:   ∠N=50°\angle N=50\degree  , ∠O=30°\angle O=30\degree   , and ∠P=100°\angle P=100\degree  .

Which side is the shortest?

a)

NO

b)

OP

c)

NP

18.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
19.

Find angle x in the following figure

a)

40°

b)

50°

c)

45°

d)

60°

20.
Which segment is the base?
a)
Segment AB
b)
Segment BC
c)
Segment AC
21.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
22.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
23.
Which side lengths would NOT form a triangle?
a)
{3,4,5}
b)
{2,5,9}
c)
{5,10,12}
d)
{7,9,11}
24.
Find the largest angle in Δ PRQ
a)
∠R
b)
∠P
c)
∠Q
d)
∠S
25.
Order the sides from least to greatest. 
a)
DE, VE, DV
b)
VE, DE, DV
c)
DV, VE, DE
d)
DE, DV, VE
26.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)
Cannot tell.
d)
Adjacent to the smallest side.
27.
Name the angles from LARGEST to SMALLEST
a)
R, S, T
b)
S, T, R
c)
S, R, T
d)
T, S, R
28.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
29.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
30.
Which angle is the vertex angle?
a)
<C
b)
<A
c)
<B
31.
What is the value of x?
a)
51
b)
49
c)
78
32.
What is the measure of angle 2?
a)
50
b)
65
c)
115
33.

The congruent sides of an isosceles triangle are called what?

a)

sides

b)

bases

c)

legs

d)

arms

34.

The base of an isosceles triangle is which part of the triangle?

a)

The non-congruent angle

b)

One of the congruent sides

c)

The non-congruent side

d)

One of the congruent angles

35.

Find the measure of the indicated angle.

a)

135°135\degree  

b)

55°55\degree  

c)

45°45\degree  

d)

60°60\degree  

36.

The angles inside an equilateral triangle are all ...

a)

20 degrees

b)

50 degrees

c)

60 degrees

d)

45 degrees

37.

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

a)

45°, 65°, 70°

b)

150°, 110°, 100°

c)

50°, 50°, 50°

d)

90°, 90°, 90°

38.
Solve for the missing angle with the question mark. 
a)
A
b)
B
c)
C
d)
D
39.

What is the measure of BC?

a)

12

b)

6

c)

9

d)

10

40.
Use the picture to answer the question.
a)
76
b)
28
c)
152
d)
56