Which of the following is not an inequality theorem for one triangle?
A. Triangle Inequality Theorem 1 (Ss→Aa)
B. Triangle Inequality Theorem 3 (S1 + S2 > S3)
C. Exterior Angle Inequality Theorem
D. Hinge Theorem
2. Which of the angles is an exterior angle of ∆?
A. ∠2 B. ∠3 C. ∠4 D. ∠7
3. Study the figure in no. 2. Notice that ∠5 > ∠3 and ∠5 > ∠1. Which theorem
justifies these observations?
A. Triangle Inequality Theorem 1 (Ss→Aa)
B. Triangle Inequality Theorem 2 (Aa→Ss)
C. Triangle Inequality Theorem 3 (S1 + S2 > S3)
D. Exterior Angle Inequality Theorem
4. Joshua forms triangles by bending a 16-inch wire. Which of the following sets of wire
lengths successfully form a triangle?
I. 4 in, 5 in, 6 in III. 4 in, 5 in, 7 in
II. 4 in, 4 in, 8 in IV. 3 in, 4 in, 9 in
A. I, II B. I, III C. II, IV D. III, IV
From the inequalities in the triangles shown below, Jarold concluded that
∠ > ∠. Which theorem on inequalities in triangle justifies his answer?
A. Triangle Inequality Theorem 3 (S1 + S2 > S3)
B. Triangle Inequality Theorem 1 (Ss→Aa)
C. Converse of Hinge Theorem
D. Hinge Theorem
6. Which side of the ∆ is the longest if ∠ = 46°, ∠ = 81° and ∠ = 53°?
a. MO B. MV C. OV D. cannot be determined
7. The measure of an exterior angle of a triangle is always ____________.
A. greater than its adjacent interior angle
B. less than its adjacent interior angle
C. greater than either its remote interior angles
D. less than either its remote interior angles
8. In ∆, = 12 , = 9 , and = 11 . List the angles in order from
smallest to largest measure.
A. ∠, ∠, ∠ C. ∠, ∠, ∠
B. ∠, ∠, ∠ D. ∠, ∠, ∠
9. List the sides of ∆ in order from longest to shortest measure.
A. SA, AN, SN C. AN, SN, SA
B. SA, SN, AN D. SN, SA, AN
10.Which of the statements must be true?
A. ED >
B. ED <
C. ED = UM
D. FE = GM
11. Which is not true about the figure shown on the right?
A. ∠4 > ∠5
B. ∠4 < ∠7
C. ∠4 > ∠7
D. ∠4 = ∠5 + ∠7
12. What are the possible values for in the figure?
A. > 15
B. < 16
C. > 17
D. < 17
13. What is the smallest integer possible measure of the smaller included angle in the figure in
item no.12?
A. 700 B. 710 C. 720 D. 730
14.Which is true about Triangle Inequality Theorem 3?
A.The sum of the lengths of any two sides of a triangle is greater than the length of the
third side
B.The sum of the lengths of any two sides of a triangle is lesser than the length of the
third side.
C. The sum of the lengths of any two sides of a triangle is equal to the length of the
third side.
D. The sum of the lengths of any two sides of a triangle is not equal to the length of the
third side.