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Where can you find the longest side of a triangle?

• Opposite side of the largest angle.

• Adjacent to the largest angle.

• Opposite side of the smallest angle.

• Adjacent to the smallest angle.

Which of the following three lengths can be the sides of a triangle?

• 6 cm, 9 cm, 15 cm

• 2 cm, 14 cm, 18 cm

• 9 cm, 7 cm, 15 cm

• 14 cm, 3 cm, 18 cm

If △PAL, ∠A = 56⁰ and ∠L = 72⁰. Which is the longest side of the triangle?

• side PL

• side PA

• side AL

• side LA

According to the triangle inequality theorem, the sum of any two sides of a triangle is ____ the measure of the third side of a triangle.

• less than

• greater than

• equal to

• none of these

Which of the following is a correct description of Exterior Angle Inequality Theorem?

• The measure of an exterior angle of a triangle is greater than either of its remote interior angles.

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

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

• The measure of an exterior angle of a triangle plus its remote interior angles equals to 180 degrees.

Which of the following is the converse of the hinge theorem?

• If two triangles have congruent sides, then two triangles must be congruent.

• If two triangles have two congruent sides, then the triangle with the shorter third side will have the larger angle opposite of that third side.

• If two triangles have two congruent sides, then the triangle with the longer third side will have the larger angle opposite of that third side.

• If two triangles have no congruent sides, then they must have a one set of congruent angles.

Given △CRY. If side CR = 6, side RY = 9, and side CY = 4. Which statement is true?

• m∠R >m∠Y

• m∠C >m∠Y

• m∠Y >m∠C

• m∠R >m∠C

Which three lengths can NOT be the measure if the sides if a triangle?

• 17cm, 8cam, 10 cm

• 15 cm, 4cm, 20 cm

• 2cm, 5cm, 6cm

• 22cm, 20cm, 5cm

In △GVQ, ∠Q = 64⁰ and ∠V = 62⁰. Which is the longest side of the triangle?

• side GQ

• side VQ

• side QV

• side GV

Which of the following statement is true?

• The Hinge Theorem states that if two triangles have two congruent sides, then the triangle with the smaller included angle between those sides have the longer side.

• The Hinge Theorem states that if two triangles have two congruent sides but the third side have different length, then the two triangles are congruent.

• The Hinge Theorem states that if two triangles have two congruent sides, then the triangle with larger included angle between those sides will have the longer side.

• The Hinge Theorem states that if the two triangles have no congruent sides, then two triangles are congruent.