Free Printable Theorems on Triangle Inequalities

1.

Choose all that applies to the inequality

If m∠e = 48 and m∠v = 22, then m∠l

a)

m∠l > m∠e

b)

m∠l > m∠v

c)

m∠l > 70⁰

d)

m∠l > 110⁰

e)

m∠l > 48

2.

Choose all that applies to the inequality

If m∠o = 40 and m∠e = 35, then m∠l

a)

m∠l > m∠e

b)

m∠l > m∠v

c)

m∠l > 105

d)

m∠l > 15⁰

e)

m∠l > 35⁰

3.

Choose all that applies to the inequality

If m∠o = 48 and m∠v = 25, then m∠l

a)

m∠l > m∠e

b)

m∠l > m∠v

c)

m∠l > 107⁰

d)

m∠l > 23⁰

e)

m∠l > 25⁰

4.

Choose all that applies to the inequality

If m∠o = 32 and m∠e = 16, then m∠l

a)

m∠l > m∠e

b)

m∠l > m∠v

c)

m∠l > 132⁰

d)

m∠l > 16⁰

e)

m∠l > 48⁰

5.

Choose all that applies to the inequality

If m∠o = 37 and m∠e = 34, then m∠l

a)

m∠l > m∠e

b)

m∠l > m∠v

c)

m∠l > 109⁰

d)

m∠l > 2⁰

e)

m∠l > 34⁰

6.

Determine if the set of segment having the following lengths can form a triangle:

4 m, 6 m, 9 m

a)

Triangle

b)

Not a Triangle

7.

Determine if the set of segment having the following lengths can form a triangle:

9 cm, 5 cm, 15 cm

a)

Triangle

b)

Not a Triangle

8.

Determine if the set of segment having the following lengths can form a triangle:

17 dm, 12 dm, 7 dm

a)

Triangle

b)

Not a Triangle

9.

Determine if the set of segment having the following lengths can form a triangle: $\frac{5}{2}ft,\ \frac{3}{2}ft,\ \frac{7}{2}ft$

a)

Triangle

b)

Not a Triangle

10.

Determine if the set of segment having the following lengths can form a triangle:

2.3 in, 5.2 in, 8.0 in

a)

Triangle

b)

Not a Triangle

11.

List the angles of the triangle in ascending order of size.

a)

∠B, ∠A, ∠C

b)

∠C, ∠A, ∠B

c)

∠A, ∠B, ∠C

d)

∠A, ∠C, ∠B

12.

List the angles of the triangle in ascending order of size.

a)

∠M, ∠L, ∠N

b)

∠L, ∠M, ∠N

c)

∠N, ∠L, ∠M

d)

∠L, ∠N, ∠M

13.

List the angles of the triangle in ascending order of size.

a)

∠X, ∠Z, ∠Y

b)

∠Z, ∠X, ∠Y

c)

∠Y, ∠Z, ∠X

d)

∠Z, ∠Y, ∠X

14.

List the sides in each triangle in ascending order of size.

a)

$\overline{FI},\ \overline{GI},\ \overline{GF}$

b)

$\overline{GI},\ \overline{FI},\ \overline{GF}$

c)

$\overline{FG},\ \overline{FI},\ \overline{GI}$

d)

$\overline{FI},\ \overline{GF},\ \overline{GI}$

15.

List the sides in each triangle in ascending order of size.

a)

$\overline{AT},\ \overline{CA},\ \overline{TC}$

b)

$\overline{CA},\ \overline{AT},\ \overline{TC}$

c)

$\overline{TC},\ \overline{CA},\ \overline{AT}$

d)

$\overline{CA},\ \overline{TC},\ \overline{AT}^{ }$

Theorems on Triangle Inequalities

Total questions: 15

Worksheet time: 8mins

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