Free Printable The Relationship Between Sides and Angles in a Triangle

1.

Find the largest angle in Δ PRQ

a)

∠R

b)

∠P

c)

∠Q

d)

∠S

2.

The smallest angle would be located where in a triangle?

a)

Across from the smallest side.

b)

Across from the largest side

c)

Cannot tell

3.

Where would the largest side of a triangle be located?

a)

Across from the largest angle.

b)

Across from the smallest angle.

c)

Next to the smallest side.

d)

Across the smallest side.

4.

Name the sides from SMALLEST to LARGEST

a)

RS, ST, TR

b)

ST, RT, RS

c)

RT, ST, RS

d)

RT, RS, ST

5.

True or False
The angle opposite the shortest side is the smallest angle.

a)

True

b)

False

6.

a)

A) Angle P is the smallest

b)

B) Angle N is the smallest

c)

C) Angle O is the smallest

d)

D) All of the angles are equal

7.

Quinn made a statement about the triangle shown. Determine whether his statement is true or false.

Choose from the below words

True

False

8.

Quinn made a statement about the triangle shown. Determine whether his statement is true or false.

Choose from the below words

True

False

9.

Name the angles from LARGEST to SMALLEST

a)

R, S, T

b)

S, T, R

c)

S, R, T

d)

T, S, R

10.

Find the largest side in Δ BCD

a)

Segment BC

b)

Segment DB

c)

Segment DC

d)

Segment AB

11.

Use the figure to determine which of the following angles has the greatest measure: $\angle\ 1,\ \angle\ 3,\ \angle4$

a)

$\angle1$

b)

$\angle3$

c)

$\angle4$

d)

Not enough information

12.

Use the figure to determine which of the following angles has the greatest measure: $\angle\ 4,\ \angle\ 8,\ \angle9$

a)

$\angle4$

b)

$\angle8$

c)

$\angle9$

d)

Not enough information

13.

SPORTS The figure shows the position of three trees on one part of a disc golf course. At which tree position is the angle between the trees the greatest?

a)

Tree 1

b)

Tree 2

c)

Tree 3

14.

Use the Exterior Angle Inequality Theorem to list all angles that satisfy the stated condition: measures are less than $\angle1$

a)

$\angle3,\ \angle4,\ \angle5,\ \angle7,\ \angle8$

b)

$\angle3,\ \angle4,\ \angle5,\ \angle6,\ \angle8$

c)

$\angle2,\ \angle6,\ \angle7,\ \angle8$

d)

$\angle2,\ \angle6,\ \angle8,\ \angle9$

15.

Use the Exterior Angle Inequality Theorem to list all angles that satisfy the stated condition: measures are less than $\angle3$

a)

$\angle2,\ \angle6,\ \angle8,\ \angle9$

b)

$\angle1,\ \angle6,\ \angle8$

c)

$\angle5,\ \angle7,\ \angle8$

d)

$\angle2,\ \angle4,\ \angle7,\ \angle8$

16.

Which of the following segments represents an altitude?

a)

BX

b)

AZ

c)

AC

d)

BZ

17.

Name the sides from LARGEST to SMALLEST

a)

KJ, KH, JH

b)

JH, KH, KJ

c)

KH, KJ, JH

d)

KH, JH, KJ

18.

Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

19.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

20.

Solve for x.

a)

16

b)

11

c)

50

d)

6

The Relationship Between Sides and Angles in a Triangle

Total questions: 20

Worksheet time: 20mins

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