# Q4-M1: ILLUSTRATE THEOREMS ON TRIANGLE INEQUALITIES

## Quiz by JOCELYN O. HULIP

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- Q1
Which of the following shows the correct statement about of angles of a triangle 31° and 89°?

Any of the given angles can be the exterior angle of the triangle.

31° is the measure of the exterior angle of the triangle.

89$\backslash degree$ is measure of the exterior angle.

89° is the measure of a remote interior angle.

30sM8GE-IVa-1 - Q2
A triangle has a remote interior angle 33° and an exterior angle, ∠T. What inequality statement represents the relationship between the two angles?

∠T > $33\backslash degree$

$33\backslash degree$> ∠T

∠T= $33\backslash degree$

∠T < $33\backslash degree$

30sM8GE-IVa-1 - Q330sM8GE-IVa-1
- Q4
Which of the following given set of measures in ft. can be the length of sides of a triangle?

3, 1, 1

5, 4, 3

2, 3, 5

1, 2, 3

30sM8GE-IVa-1 - Q5
Which of the following theorems states that; “The sum of the lengths of any two sides of a triangle is greater than the length of the third side”?

Hinge Theorem

Interior Angle Theorem

Triangle Inequality Theorem

Exterior Angle Inequality Theorem

30sM8GE-IVa-1 - Q6
Triangle ABC has the following sides, AB = 7.7, BC = 7.8 and AC = 7.9. Which is the smallest angle in the triangle?

∠B

∠A

∠C

∠D

30sM8GE-IVa-1 - Q730sM8GE-IVa-1
- Q8
In the triangles below, which correctly describes the value of X?

x > BC

x > AD

x > AC

x > AB

30sM8GE-IVa-1 - Q9
Given the figure, Which is true?

∠D > ∠U

∠A > ∠S

∠U > ∠D

∠S > ∠A

30sM8GE-IVa-1 - Q10
Given the triangles RED and BLU. Which of the following inequality statements is true?

∠E < ∠B

∠U > ∠R

∠R > ∠U

∠U < ∠E

30sM8GE-IVa-1