Directions: Choose the letter that corresponds to your answer. Write your answer on a
separate sheet of paper.
1. 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 ARPY?
A. 22
B. 23
C. 24
D. 27
4
R
3. Study the figure in no. 2. Notice that m25 > m23 and ni25 > m21. 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, 11 B. I, III C. II, IV D. III, IV
5. From the inequalities in the triangles shown below, Jaroid concluded that
mZOHM > MLEHM. 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
8
10
H
M M
10
E
6. Which side of the AMOV is the longest if m_M = 46°, M20 = 81° and MZV = 53°?
a. MO B. MV
C. OV D. cannot be determined​