FOURTH QUARTER EXAM - REVIEWER

The measure of an exterior angles of a triangle is always ____________.

• Less than its adjacent interior angle

• Less than either remote interior angle

• Greater than its adjacent interior angle

• Greater than either remote interior angle

If one side of a triangle is longer than a second side, then an angle opposite the first angle is ____________.

• Not equal than the angle opposite the second side

• Equal than the angle opposite the second side

• Larger than the angle opposite the second side

• Smaller than the angle opposite the second side

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

• equal to the length of the third side

• Not equal to the length of the third side

• Less than the length of the third side

• Greater than the length of the third side

Which theorem states that “if two triangles have two congruent sides, then the triangle with the longer third side will have a larger angle opposite that third side”?

• Exterior Angle Theorem

• Converse of Hinge Theorem

• Hinge Theorem

• Triangle Inequality Theorem

Which theorem states that “if two triangles have two congruent sides, then the triangle with the larger angle between those sides will have a longer third side”?

• Exterior Angle Theorem

• Converse of Hinge Theorem

• Hinge Theorem

• Triangle Inequality Theorem

Which of the following set of lengths can form a triangle?

I. 4,5,6                        II. 4,4,8                       III. 4,5,7                      IV. 3,4,9

• I and II

• III and IV

• II and IV

• I and III

How will you identify the smallest angle in the triangle?

• It is the opposite angle of the shortest side.

• It is the opposite angle of the longest side.

• It is the adjacent angle of the shortest side.

• It is the adjacent angle if the longest side.

In ΔTRY, if TR = 3, RY = 4, and TY = 2, which statement is true?

• m∠R > m∠Y

• m∠R > m∠T

• m∠Y > m∠T

• m∠T > m∠R

If the measure of the two remote interior angles of a triangle is 72° and 54° respectively, what is the measure of the exterior angle?

• 100°

• 126°

• 142°

• 180°

If 𝑚∠1 = 𝑚∠5, which of the following is the correct reason for this statement?

• corresponding angles are congruent

• alternate interior angles are congruent

• alternate exterior angles are congruent

• Same side interior angles are congruent