Free Printable Ordering Angles/Sides & Triangle Inequalities

1.

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.

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.

Find the largest angle in Δ PRQ

a)

∠R

b)

∠P

c)

∠Q

d)

∠S

4.

Find the largest side in Δ BCD

a)

Segment BC

b)

Segment DB

c)

Segment DC

d)

Segment AB

5.

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

6.

In ∆XYZ, the angles have the following measures:

m∠x = 40°; m∠y = 60°; m∠z = 80°

Which list shows the sides in order from longest to shortest?

a)

$\overline{XY},\ \overline{XZ},\ \overline{YZ}$

b)

$\overline{XY},\ \overline{YZ},\ \overline{XZ}$

c)

$\overline{YZ},\ \overline{XZ},\ \overline{XY}$

d)

$\overline{ZY},\ \overline{XY},\ \overline{ZX}$

7.

a)

∠R, ∠P, ∠Q

b)

∠R, ∠Q, ∠P

c)

∠Q, ∠R, ∠P

d)

∠P, ∠R, ∠Q

8.

a)

Pine, Taylor, Rector

b)

Taylor, Pine, Rector

c)

Rector, Taylor, Pine

d)

Rector, Pine, Taylor

9.

a)

$\overline{WN},\ \overline{NP},\ \overline{WP}$

b)

$\overline{NP},\ \overline{WN},\ \overline{WP}$

c)

$\overline{WP},\ \overline{NP},\ \overline{WN}$

d)

$\overline{WP},\ \overline{WN},\ \overline{NP}$

10.

a)

$\overline{XZ}$

b)

$\overline{XY}$

c)

$\overline{ZX}$

d)

$\overline{ZY}$

11.

a)

∠N, ∠K, ∠Q

b)

∠K, ∠N, ∠Q

c)

∠Q, ∠K, ∠N

d)

∠K, ∠Q, ∠N

12.

a)

∠XYZ

b)

∠XZY

c)

∠ZXY

d)

All angles are the same

13.

a)

m∠C < m∠E

b)

m∠E > m∠D

c)

m∠D < m∠C

d)

m∠E > m ∠C

14.

Order the angles of the triangle from largest to smallest

a)

$\angle$ B, $\angle$ C, $\angle$ A

b)

$\angle$ A, $\angle$ B, $\angle$ C

c)

$\angle$ C, $\angle$ A, $\angle$ B

15.

Order the angles of the triangle from smallest to largest

a)

$\angle$ V, $\angle$ X, $\angle$ Y

b)

$\angle$ V, $\angle$ Y, $\angle$ X

c)

$\angle$ X, $\angle$ Y, $\angle$ V

16.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

17.

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

a)

Yes

b)

No

18.

What is a possible third side to a triangle with side lengths of 13 and 4?

a)

9

b)

12

c)

8

d)

5

19.

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

20.

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}

21.

Which of the following does not represent the lengths of the sides of a triangle?

a)

2 cm, 6 cm, 7 cm

b)

5 cm, 2 cm, 5 cm

c)

5 cm, 5 cm, 8 cm

d)

3 cm, 10 cm, 15 cm

22.

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

a)

12 < x < 17

b)

12 < x < 29

c)

5 < x < 17

d)

5 < x < 29

23.

What is the range of values the third side of the triangle could be?

a)

A

b)

B

c)

C

d)

D

24.

For triangle ABC, M<A=25 and m<B=105. Which of the following statements is true?

a)

AB is the longest side

b)

AB is the shortest side

c)

BC is the longest side

d)

BC is the shortest side

25.

For triangle ABC, AB=10, BC=12 and AC=20. Order the angles from least to greatest.

a)

<A, <B, <C

b)

<C, <A, <B

c)

<C, <B, <A

d)

<B, <A, <C

Ordering Angles/Sides & Triangle Inequalities

Total questions: 25

Worksheet time: 32mins

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