What I Know

 

  In 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

• less than or equal to

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 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.

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 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

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

• SAS Inequality Theorem

• SSS Inequality Theorem

• Angle-Side Relationship Theorem

• Exterior Angle Inequality Theorem

• Cannot be determined

Which side is the shortest?

• Cannot be determined

What theorem of triangle inequalities is applied?

• SSS Inequality Theorem

• Triangle Inequality Theorem

• Angle-Side Relationship Theorem

• Exterior Angle Inequality Theorem

 

1Ruel, 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

• Sheila

• Reymond