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Triangle Inequalities

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What is the other term used for SAS Inequality Theorem?

a)

Converse of Hinge Theorem

b)

Hinge Theorem

c)

Exterior Angle Inequality Theorem

d)

Triangle Inequality Theorem

2.

Which of the following CANNOT be the measures of the sides of a triangle?

a)

3, 10, 12

b)

7, 6, 10

c)

8, 2, 8

d)

4, 7, 2

3.

Which of the following statements is true?

a)

The exterior angle of a triangle is less than any of its remote interior angles.

b)

The exterior angle of a triangle is greater than or equal to any of its remote

interior angles.

c)

The exterior angle of a triangle is equal to any of its remote interior angles.

d)

The exterior angle of a triangle is greater than any of its remote interior angles.

4.

List the sides of ∆𝐿𝑌𝐾 in order from greatest to least measure.

a)

LY, YK, KL

b)

YK, LK, LY

c)

YK, YL, LK

d)

LY, LK, KY

5.

In ∆𝑇𝑅𝑈, TR = 8cm, RU = 9cm, and TU = 10cm. List all the angles in order from

greatest to least measure.

a)

∠R, ∠T, ∠U

b)

∠U, ∠R, ∠T

c)

∠T, ∠R, ∠U

d)

∠U, ∠T, ∠R

6.

Two sides of a triangle measure 4cm and 7cm. What can be the possible measure

of the third side?

a)

3

b)

4

c)

1

d)

2

7.

Which of the following does NOT belong to the group?

a)

Exterior Angle Inequality Theorem

b)

Triangle Inequality Theorem

c)

Vertical Angles Theorem

d)

Hinge Theorem

8.

What theorem describes, “If one side of a triangle is longer than a second side, then

the angle opposite the first side is larger than the angle opposite the second side"?

a)

Triangle Inequality Theorem 1

b)

Triangle Inequality Theorem 2

c)

Triangle Inequality Theorem 3

d)

Exterior Angle Inequality Theorem

9.

Which of the following CANNOT be the measures of the sides of a triangle?

a)

4, 11, 9

b)

4, 7, 2

c)

8, 5, 8

d)

9, 5, 10

10.

Given the figure, what is the relationship between m∠OQP and m∠OQR?

a)

m∠OQP < m∠OQR

b)

m∠OQP ≤ m∠OQR

c)

m∠OQP > m∠OQR

d)

m∠OQP ≥ m∠OQR