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Classifying Triangles

Total questions: 101

Worksheet time: 3hrs 22mins

Name
Class
Date
1.

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

a)

any length

b)

equal to 10

c)

greater than 10

d)

less than 10

2.
Which set of numbers may represent the lengths of the sides of a triangle?
a)
{2,5,9}
b)
{6,6,7}
c)
{6,4,2}           
d)
{7,8,1}
3.

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

a)

6

b)

7

c)

5

d)

4

4.

Can the sides of a triangle have lengths 3, 4, and 9?

a)

Yes

b)

No

c)

I don't know

d)

Cannot be determined

5.

Does a triangle with these side lengths exist?

15, 12, 9

a)

Yes

b)

No

c)

I don't know.

d)

Cannot be determined

6.

How many triangles can be created when you know two angles and one non-included side?

a)

Only 1 unique triangle

b)

multiple triangles

c)

no triangles

7.

In this triangle, if angle A is 45 degrees, angle C is 45 degrees, and line AB is 5 cm, how many triangles can you create?

a)

one unique triangle

b)

multiple triangles

c)

no triangles

8.
Two angles of a triangle measure 30° and 108°. What is the measure of the third angle of the triangle?
a)
42
b)
45
c)
62
9.

How many triangles can be created when you know two sides and one non-included angle?

a)

Only 1 unique triangle

b)

multiple triangles

c)

no triangles

10.

How many triangles exist with the following angle measures?

100°, 100°, 50°

a)

No triangle exists with the given angle measures.

b)

More than one triangle exists with the given angle measures.

c)

Exactly one unique triangle exists with the given angle measures.

11.

How many triangles can be created when you know two angles and 1 included side?

a)

Only 1 unique triangle

b)

multiple triangles

c)

no triangles

12.

How many triangles can be created with the side lengths of 3 cm, 4cm, and 5 cm?

a)

Only 1 unique triangle

b)

multiple triangles

c)

no triangles

13.

Given three angle measures, how many triangles can you create?

a)

One unique triangle

b)

Multiple triangles

c)

No triangles

14.
A triangle has angle measurements of 26°, 59°, and 95°. What kind of triangle is it?
a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
15.

A triangle has side lengths of 19 centimetres, 19 centimetres, and 20 centimetres. What type of triangle is this?

a)

equilateral triangle

b)

isosceles triangle

c)

scalene triangle

d)

none of the above

16.

When classifying a triangle by its sides, what type of triangle has exactly two equal sides?

a)

equilateral triangle

b)

isosceles triangle

c)

scalene triangle

d)

none of the above

17.

In a triangle, what is the sum of the interior angles?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

18.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
19.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
20.
Find the missing angle.
a)
29° 
b)
39° 
c)
49° 
d)
59° 
21.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
22.
Which would be the best classification for the triangle shown?
a)
right isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
right scalene
23.
What is the value of x?
a)
60
b)
5
c)
10
d)
-3
24.

What is the measure of angle A?

a)

30

b)

45

c)

47

d)

50

25.

Triangle DEF has a missing angle measure. If the m∠E is 93 degrees and the m∠F is 24 degrees. What is the measure of angle D?

a)

63

b)

36

c)

90

d)

76

26.

Triangle DEF. If the m∠E is 60 degrees and the m∠F is 60 degrees. What type of triangle is this?

a)

acute, isosceles

b)

obtuse, isosceles

c)

acute, equilateral

d)

acute, scalene

27.
a)

acute

b)

obtuse

c)

right

28.
a)

acute

b)

obtuse

c)

right

29.
a)

acute

b)

obtuse

c)

right

30.
a)

acute

b)

obtuse

c)

right

31.
a)

acute

b)

obtuse

c)

right

32.
a)

equilateral

b)

isosceles

c)

scalene

33.
a)

equilateral

b)

isosceles

c)

scalene

34.
a)

equilateral

b)

isosceles

c)

scalene

35.
a)

equilateral

b)

isosceles

c)

scalene

36.

A triangle has side lengths of 15 centimeters, 11 centimeters, and 9 centimeters. What kind of triangle is it?

a)

equilateral

b)

isosceles

c)

scalene

37.

Based on the side lengths of this triangle, what classification would it belong to?

a)

Scalene

b)

Isosceles

c)

Equilateral

d)

Neither

38.

Based on the side lengths of this triangle, what classification would it belong to?

a)

Scalene

b)

Isosceles

c)

Equilateral

d)

Neither

39.

Based on the side lengths of this triangle, what classification would it belong to?

a)

Scalene

b)

Isosceles

c)

Equilateral

d)

Neither

40.

Based on the angle measures of this triangle, what classification would it belong to?

a)

Acute

b)

Right

c)

Obtuse

d)

Equilateral

41.

Based on the angle measures of this triangle, what classification would it belong to?

a)

Acute

b)

Right

c)

Obtuse

d)

Equilateral

42.

Based on the angle measures of this triangle, what classification would it belong to?

a)

Acute

b)

Right

c)

Obtuse

d)

Equilateral

43.

Based on the angle measures of this triangle, what classification would it belong to?

a)

Acute

b)

Right

c)

Obtuse

d)

Equilateral

44.

Classify the triangle buy it's angle measures and it's side lengths.

a)

Right Isosceles triangle

b)

Acute Scalene triangle

c)

Obtuse Isosceles triangle

d)

Equilateral triangle

45.

Classify the triangle buy it's angle measures and it's side lengths.

a)

Right Isosceles triangle

b)

Acute Scalene triangle

c)

Obtuse scalene triangle

d)

Equilateral triangle

46.

Classify the triangle buy it's angle measures and it's side lengths.

a)

Right Isosceles triangle

b)

Acute Scalene triangle

c)

Obtuse scalene triangle

d)

Equilateral triangle

47.

Find the measure of the missing angle in the triangle.

a)

90°90\degree

b)

45°45\degree

c)

135°135\degree

d)

180°180\degree

48.

Find the measure of the missing angle in the triangle.

a)

90°90\degree

b)

45°45\degree

c)

130°130\degree

d)

50°50\degree

49.

Find the measure of the missing angle in the triangle.

a)

90°90\degree

b)

58°58\degree

c)

122°122\degree

d)

180°180\degree

50.

Find b.

a)

36°36\degree

b)

45°45\degree

c)

90°90\degree

d)

144°144\degree

51.

Find the measure of the missing angle in the triangle.

a)

90°90\degree

b)

45°45\degree

c)

135°135\degree

d)

180°180\degree

52.

What does congruent mean?

a)

Opposite

b)

Symmetry

c)

Same

d)

Smaller

53.

An isosceles triangle has two congruent sides. Which triangle is an isosceles?

a)
b)
c)
54.

A scalene triangle has no congruent sides. Which triangle is scalene?

a)
b)
c)
55.

An equilateral triangle has all congruent sides. Which triangle is equilateral?

a)
b)
c)
56.

What does acute mean?

a)

90 degree angle

b)

less than a 90 degree angle

c)

greater than a 90 degree angle

57.

What does obtuse mean?

a)

90 degree angle

b)

less than a 90 degree angle

c)

greater than a 90 degree angle

58.

A polygon is a 2-D shape with closed sides. It can have an unlimited number of sides. Which of these shapes are polygons?

a)
b)
c)
d)
59.

Which one of these is a right triangle?

a)
b)
c)
60.

How could you classify this triangle?

a)

It has a right angle

b)

It is scalene

c)

It is a polygon

d)

It has an obtuse angle

61.

How could you classify this triangle?

a)

It is an isosceles triangle

b)

It has a right angle

c)

It is a polygon

d)

It has an obtuse angle

62.

Which triangle has all acute angles?

a)
b)
c)
63.

Mark ALL triangles that have an acute angle.

a)
b)
c)
64.

Mark ALL triangles that have an obtuse angle.

a)
b)
c)
65.

A triangle with 3 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

66.

A triangle can be classified as an isosceles triangle if there are two equal sides.

a)

True

b)

False

67.

If all of the triangle side are different lengths, the triangle is an isosceles triangle.

a)

True

b)

False

68.

Mrs. Adams ordered a giant slice of pizza. Her pizza slice had the following measurements:

6 inches, 6 inches, and 4 inches.

How would she classify her pizza slice?

a)

Equilateral triangle

b)

Isosceles triangle

c)

Scalene triangle

69.

Classify this triangle by its sides and angles.

a)

acute & scalene

b)

right & scalene

c)

right & equilateral

d)

acute & equilateral

70.

Classify this triangle by its sides and angles.

a)

obtuse & equilateral

b)

obtuse & isosceles

c)

right & isosceles

d)

right & equilateral

71.

Classify this triangle by its sides and angles.

a)

obtuse & isosceles

b)

right & scalene

c)

right & isosceles

d)

obtuse & scalene

72.

Classify this triangle by its sides and angles.

a)

right & scalene

b)

acute & isosceles

c)

right & isosceles

d)

acute & scalene

73.

Classify this triangle by its sides and angles.

a)

obtuse & isosceles

b)

obtuse & equilateral

c)

right & isosceles

d)

right & equilateral

74.

Classify this triangle by its sides and angles.

a)

right

b)

obtuse

c)

isosceles

d)

scalene

75.

Classify this triangle by its sides and angles.

a)

right

b)

obtuse

c)

isosceles

d)

scalene

76.

Classify this triangle by its sides and angles.

a)

acute

b)

obtuse

c)

isosceles

d)

equilateral

77.

Classify this triangle by its sides and angles.

a)

acute

b)

obtuse

c)

isosceles

d)

equilateral

78.

Classify this triangle by its sides and angles.

A triangle has angle measurements of 20°, 140°, and 20°

a)

acute

b)

obtuse

c)

isosceles

d)

equilateral

79.

Correct the error in classifying this triangle

a)

It is acute and isosceles

b)

It is obtuse and isosceles

c)

It is right and scalene

d)

It is obtuse and scalene

80.

A mosaic is pattern or picture made of small pieces of colored material. Classify the yellow triangle used in the mosaic.

a)

Equilateral Acute Triangle

b)

Isosceles Acute Triangle

c)

Scalene Acute Triangle

d)

Isosceles Obtuse Triangle

81.

Based on the information given in the picture, what is the measure of angle x?

a)

25 degrees

b)

130 degrees

c)

45 degrees

d)

Not Here

82.

Identify the triangle by its sides and angles.

a)

Obtuse Equilateral

b)

Obtuse Isosceles

c)

Isosceles

d)

Acute Scalene

83.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Right Equilateral

84.

Identify the triangle by its sides and angles

a)

Equilateral

b)

Obtuse Equilateral

c)

Acute Equilateral

d)

Acute Isosceles

85.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Obtuse Isosceles

d)

Obtuse Scalene

86.

Identify the triangle by its sides and angles

a)

Obtuse Isosceles

b)

Obtuse Equilateral

c)

Obtuse Scalene

87.

Identify the triangle by its sides and angles

a)

Acute Equilateral

b)

Right Equilateral

c)

Acute Isosceles

d)

Obtuse Isosceles

88.

Identify the triangle by its sides and angles

a)

Obtuse

b)

Acute Isosceles

c)

Obtuse Scalene

d)

Obtuse Isosceles

89.

In a triangle, how many total degrees are there?

a)

100 °\degree

b)

180 °\degree

c)

360 °\degree

d)

It varies on the type of triangle

90.

What is the name of this kind of triangle?

a)

Isosceles

b)

Scalene

c)

Equilateral

91.

Identify this triangle by its sides

a)

Right

b)

Scalene

c)

Isosceles

d)

Equilateral

92.

Identify the triangle by its sides

a)

acute isosceles

b)

obtuse scalene

c)

obtuse isosceles

d)

acute scalene

93.

What kind of angle does this triangle have

a)

Right

b)

Obtuse

c)

Acute

94.

An isosceles triangle has how many congruent sides?

a)

1

b)

2

c)

3

95.

An acute triangle is a triangle in which ______ angles are acute angles (less than 90 degrees)

a)

1

b)

2

c)

3

96.

An obtuse triangle has at least one angle that is bigger than ______ degrees.

a)

90

b)

45

c)

180

97.
Classify the triangle by angles and sides.
a)
Right Scalene
b)
Acute Isosceles
c)
Obtuse Isosceles
d)
Equiangular Equilateral
98.
Classify the triangle by angles and sides.
a)
Right Scalene
b)
Right Isosceles
c)
Acute Isosceles
d)
Right Obtuse
99.
Classify the triangle by angles and sides.
a)
Equiangular Equilateral
b)
Right Isosceles
c)
Right Scalene
d)
Acute Isosceles
100.
Classify the triangle by angles and sides.
a)
Right Scalene
b)
Equiangular Equilateral
c)
Obtuse Isosceles
d)
None of the above
101.

Triangles can be classified by what two things?

a)

Side length

b)

Number of Vertices

c)

Angles

d)

Congruent Sides

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