Free Printable Triangle Angle Relationships and Types

Worksheets

Triangle Angle Relationships and Types

Total questions: 46

Worksheet time: 2hrs 11mins

Name

Class

Date

Two angles in a triangle measure 30° and 105°. What is the measure of the third angle in the triangle?

45°

65°

75°

105°

Two angles in a triangle measure 18° and 60°. What is the measure of the third angle in the triangle?

222°

22°

122°

102°

Which words best describe this triangle?

Right

Acute

Obtuse

Isosceles

Scalene

Leah drew a triangle on a piece of paper. She made one side 5 inches long, another side 4 inches long, and the final side 3 inches long. What kind of triangle did she create?

Equilateral

Scalene

Straight

Isosceles

Why is the triangle classified as isosceles?

All angles are acute

At least two sides are congruent

At least one angle is acute

All angles are congruent

Which is a true statement?

An acute triangle has three acute angles.

An obtuse triangle has two obtuse angles.

A right triangle has two right angles.

A right triangle has 3 congruent angles.

Bella has a window in her bedroom shaped like a triangle. Each angle of the triangle measures less than 90 degrees. What kind of triangle is her window?

Straight

Acute

Obtuse

Right

Choose the triangle that has the correct interior angle measurements.

What is the sum of the measures of the angles of any triangle?

90°

360°

180°

45°

10.

Which triangle can best be described as an equilateral triangle?

11.

The measure of each angle of an acute triangle must be —

equal 90°

less than 90°

total 360°

more than 90°

12.

This is a right triangle because —

it is facing the right way

it has 3 acute angles

it has one 90 degree angle

it does not have one obtuse angle

13.

Stuart drew a triangle. ∠ABC had a measure of 60 degrees. ∠BAC also had a measure of 60 degrees. ∠ACB also had a measure of 60 degrees. What kind of triangle is ΔABC?

Right

Acute

Obtuse

Straight

14.

.
.
.
.
What is the name of this kind of triangle?

Right

Isosceles

Scalene

Equilateral

15.

Classify the triangle by angles and sides.

Right Scalene

Acute Isosceles

Obtuse Isosceles

Equiangular Equilateral

16.

Classify the triangle by angles and sides.

Equiangular Equilateral

Right Isosceles

Right Scalene

Acute Isosceles

17.

What type of triangle is this?

Equilateral

Isosceles

Scalene

18.

What type of triangle is this?

Scalene

Isosceles

Equilateral

19.

Which type of triangle is pictured?

Equilateral

Isosceles

Scalene

20.

Equilateral

Isosceles

Scalene

21.

Equilateral

Isosceles

Scalene

22.

Classify the following Triangle

Scalene

Isosceles

Equilateral

23.

Look at the triangle pictured.
What do the lines (sticks) mean on a shape?

The lines (sticks) show sides that are equal

The lines (sticks) show sides that are not equal

24.

Match the following triangles with their correct definition.

all sides are the same length.

Has at least 2 equal sides.

Has no equal sides.

Has one right angle

Has 3 acute angles

25.

An obtuse triangle has (a)

Choose from the below words

one obtuse angle

three obtuse angles

one acute angle

26.

Use the angles to classify the triangles

all angles less than 90° - acute triangle

1 angle is equal to 90° - right triangle

1 angle is greater than 90° - obtuse triangle

(a)

27.

Use the sides to identify the triangle

0 sides the same - scalene triangle

2 sides the same - isosceles triangle

3 sides the same - equilateral triangle

(a)

28.

Use the sides to identify the triangle

0 sides the same - scalene triangle

2 sides the same - isosceles triangle

3 sides the same - equilateral triangle

(a)

29.

Use the sides to identify the triangle

0 sides the same - scalene triangle

2 sides the same - isosceles triangle

3 sides the same - equilateral triangle

(a)

30.

Use the sides to identify the triangle

0 sides the same - scalene triangle

2 sides the same - isosceles triangle

3 sides the same - equilateral triangle

(a)

31.

Use the sides to identify the triangle

0 sides the same - scalene triangle

2 sides the same - isosceles triangle

3 sides the same - equilateral triangle

(a)

32.

Use the sides to identify the triangle

0 sides the same - scalene triangle

2 sides the same - isosceles triangle

3 sides the same - equilateral triangle

(a)

33.

Use the sides to identify the triangle

0 sides the same - scalene triangle

2 sides the same - isosceles triangle

3 sides the same - equilateral triangle

(a)

34.

Use the angles to classify the triangles

all angles less than 90° - acute triangle

1 angle is equal to 90° - right triangle

1 angle is greater than 90° - obtuse triangle

(a)

35.

Use the angles to classify the triangles

all angles less than 90° - acute triangle

1 angle is equal to 90° - right triangle

1 angle is greater than 90° - obtuse triangle

(a)

36.

Use the angles to classify the triangles

all angles less than 90° - acute triangle

1 angle is equal to 90° - right triangle

1 angle is greater than 90° - obtuse triangle

(a)

37.

Use the angles to classify the triangles

all angles less than 90° - acute triangle

1 angle is equal to 90° - right triangle

1 angle is greater than 90° - obtuse triangle

(a)

38.

Use the angles to classify the triangles

all angles less than 90° - acute triangle

1 angle is equal to 90° - right triangle

1 angle is greater than 90° - obtuse triangle

(a)

39.

Use the angles to classify the triangles

all angles less than 90° - acute triangle

1 angle is equal to 90° - right triangle

1 angle is greater than 90° - obtuse triangle

(a)

40.

Use the angles to classify the triangles

all angles less than 90° - acute triangle

1 angle is equal to 90° - right triangle

1 angle is greater than 90° - obtuse triangle

(a)

41.

Find the measure of the missing angle in the triangle.

$90\degree$

$58\degree$

$122\degree$

$180\degree$

42.

Find b.

$36\degree$

$45\degree$

$90\degree$

$144\degree$

43.

Find the measure of the missing angle in the triangle.

$90\degree$

$45\degree$

$135\degree$

$180\degree$

44.

Find the measure of the missing angle in the triangle.

$90\degree$

$45\degree$

$130\degree$

$50\degree$

45.

Find the measure of the missing angle in the triangle.

$90\degree$

$45\degree$

$135\degree$

$180\degree$

46.

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

Right Isosceles triangle

Acute Scalene triangle

Obtuse scalene triangle

Equilateral triangle

100 %

Triangle Angle Relationships and Types

Total questions: 46

Worksheet time: 2hrs 11mins

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