01_8TH GRADE - MATH 4Q [INEQUALITIES IN TRIANGLES]

Which theorem states that 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?

• Triangle Inequality Theorem
• Angle-Side Relationship Theorem
• Exterior Angle Inequality Theorem
• Hinge Theorem or SAS Inequality Theorem

In the Triangle Inequality Theorem

• which of the following describes the relationship of the sum of its two sides to its third length?
• greater than
• greater than or equal to
• less than

Which of the following theorems on triangle inequalities states that the measure of an exterior angle of a triangle is greater than the measure of either remote interior angle?

• Triangle Inequality Theorem
• Angle-Side Relationship Theorem
• Exterior Angle Inequality Theorem
• Hinge Theorem or SAS Inequality Theorem

Which of the following theorems deals with the two triangles whose two corresponding sides are congruent and whose included angles are unequal?

• SAS Inequality Theorem
• SSS Inequality Theorem
• Angle-Side Relationship Theorem
• Exterior Angle Inequality Theorem

Which of the following could NOT be used as the length of the sides of a triangle?

• 3,3,3
• 4,5,10
• 5,7,9
• 10,20,20

Which of the following statements is FALSE?

• Any lengths of the sides can be used to form a triangle.
• The largest angle of a triangle is opposite to the longest side.
• The smallest side of a triangle is opposite to the smallest angle.
• The sum of any two sides of a triangle is greater than the third side.

If two sides of one triangle are congruent to two sides of another triangle, but the third side of the first triangle is longer than the third side of the second, then the included angle of the first triangle is larger than the included angle of the second. Which of the following theorems pertains to two triangles whose two corresponding sides are congruent and whose third sides are unequal?

• Triangle Inequality Theorem
• Exterior Angle Inequality Theorem
• Hinge Theorem or SAS Inequality Theorem
• Converse of Hinge Theorem or SSS Inequality Theorem

In ∆ 𝑁𝐸𝑇, 𝑁𝐸̅̅̅̅ = 14 cm, 𝐸𝑇̅̅̅̅ = 15 cm, 𝑁𝑇̅̅̅̅ = 16 cm. What is the correct order of the angles when arranged from least to greatest?

• ∠E, ∠N, ∠T
• ∠E, ∠T, ∠N
• ∠T, ∠E, ∠N
• ∠T, ∠N, ∠E

Ruel, Geralyn, Reymond, and Shiela were given a 24-inch piece of stick each. They were instructed to create a triangle. Each cut the stick in their own chosen lengths as follows: Ruel—8 in, 8 in, 8 in; Geralyn—5 in, 7 in, 12 in; Reymond—9 in, 7 in, 8 in; and Shiela—6 in, 8 in, 10 in. Who among them could NOT be able to form a triangle?

• Ruel
• Geralyn
• Shiela
• Reymond

Which of the following statements is true based on Angle-Side Relationship Theorem?

• The largest side of a triangle is opposite with the smallest angle.
• The largest side of a triangle is adjacent with the smallest angle.
• The smallest side of a triangle is opposite with the smallest angle.
• The smallest side of a triangle is adjacent with the smallest angle.