QUIZ 1: ILLUSTRATING THEOREMS ON TRIANGLE INEQUALITIES

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.

The sum of the lengths of any two sides of a triangle is always _________.

• half of the length of the third side
• equal to the length of the third side
• less than the length of the third side
• greater than the length of the third side

The measure of an exterior angle of a triangle is always _________.

• equal to its adjacent interior angle
• less than its adjacent interior angle
• less than either remote interior angle
• greater than either remote interior angle

4. If two sides of one triangle are congruent to two sides of another triangle, but the included angle of the first triangle is greater than the included angle of the second, then the third side of the first triangle is ________________.

• equal to the third side of the second triangle.
• less than the third side of the second triangle.
• longer than the third side of the second triangle.
• greater than or equal to the third side of the second triangle.

Which of the following inequalities theorem is applicable in two triangles?

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

Which side of Δ SET is the longest?

• SE
• ET
• ST
• Cannot be determined

Which side is the shortest?

• SE
• ET
• ST
• Cannot be determined

What theorem is applied?

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

Which of the following angles is an exterior angle of Δ EAR?

• ∠1
• ∠2
• ∠3
• ∠4

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

• 4, 4, 4
• 11, 12, 13
• 8, 14, 10
• 6, 5, 12