Triangle Inequalities

What is the other term used for SAS Inequality Theorem?

• Converse of Hinge Theorem

• Hinge Theorem

• Exterior Angle Inequality Theorem

• Triangle Inequality Theorem

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

• 3, 10, 12

• 7, 6, 10

• 8, 2, 8

• 4, 7, 2

Which of the following statements is true?

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

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

  interior angles.

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

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

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

• LY, YK, KL

• YK, LK, LY

• YK, YL, LK

• LY, LK, KY

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

greatest to least measure.

• ∠R, ∠T, ∠U

• ∠U, ∠R, ∠T

• ∠T, ∠R, ∠U

• ∠U, ∠T, ∠R

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

of the third side?

• 3

• 4

• 1

• 2

Which of the following does NOT belong to the group?

• Exterior Angle Inequality Theorem

• Triangle Inequality Theorem

• Vertical Angles Theorem

• Hinge Theorem

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"?

• Triangle Inequality Theorem 1

• Triangle Inequality Theorem 2

• Triangle Inequality Theorem 3

• Exterior Angle Inequality Theorem

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

• 4, 11, 9

• 4, 7, 2

• 8, 5, 8

• 9, 5, 10

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

• m∠OQP < m∠OQR

• m∠OQP ≤ m∠OQR

• m∠OQP > m∠OQR

• m∠OQP ≥ m∠OQR