Q4M1: Geometry (Triangle Inequality)

Quiz by Richard Mamis

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### Measures 1 skill fromGrade 8MathematicsPhilippines Curriculum: Grades K-10 (MELC)

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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.

89° is the measure of a remote interior angle.

89

^{0}is measure of the exterior angle.31° is the measure of the exterior angle of the triangle.

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?

33

^{0}> ∠T∠T > 33

^{o}∠T < 33

^{0}∠T= 33

^{0}30sM8GE-IVa-1 - Q3
If ∠X and 27

^{0}are two remote interior angles of a triangle. Which inequality statement is TRUE?∠X<27°

∠X>105°

∠X=105°

∠X <105°

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

1, 2, 3

2, 3, 5

3, 1, 1

5, 4, 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

Triangle Inequality

Exterior Angle Inequality Theorem

Interior Angle 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?

∠C

∠D

∠A

∠B

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

x > AB

x > AD

x > AC

x > BC

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

∠S > ∠A

∠D > ∠U

∠U > ∠D

∠A > ∠S

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

∠R > ∠U

∠U > ∠R

∠E < ∠B

∠U < ∠E

30sM8GE-IVa-1