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Worksheets

PROVING INEQUALITIES IN A TRIANGLE

Total questions: 10

Worksheet time: 3mins

Name
Class
Date
1.

Which of the following is the correct ascending arrangement of the measures of the angles of ∆CEA?

a)

∠𝐸, ∠𝐴, ∠𝐶

b)

∠𝐴, ∠𝐶, ∠𝐸

c)

∠𝐸, ∠𝐶, ∠𝐴

d)

cannot be determined

2.

What is the answer in number 1?

a)

𝑀𝑂 ≅ 𝑂𝐸̅

b)

|𝐸𝑅| + |𝑅𝑂| > |𝑀𝑂|

c)

|𝐸𝑅| + |𝑅𝑂| > |𝑂𝐸|

d)

Cannot be determined

3.

What is the answer in number 2?

a)

MO ≅ OE

b)

MO ≅ OR

c)

OR ≅ OE

d)

Cannot be determined

4.

What is the answer in number 3?

a)

Hinge Theorem

b)

Triangle Inequality Theorem

c)

Substitution Property

d)

Converse of Hinge Theorem

5.

What is the answer in number 4?

a)

Hinge Theorem

b)

Triangle Inequality Theorem

c)

Substitution Property

d)

Converse of Hinge Theorem

6.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
7.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
8.
side lengths of 4,4,4 form a triangle
a)
True
b)
False
9.

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

a)

Exterior Angle Inequality Theorem

b)

Triangle Inequality Theorem

c)

HInge Theorem

d)

Converge of the HInge Theorem

10.

The measure of an exterior angle of a triangle is greater than the measure of either of the two remote interior angles.

a)

Exterior Angle Inequality Theorem

b)

Interior Angle Inequality Theorem

c)

Vertical Angle Inequality Theorem

d)

Horizontal Angle Inequality Theorem