In ΔABC ≅ ΔXYZ, if m∠A = 63 and m∠B = 85, what is the measure of ∠Z?
A. 28®
B. 30®
C. 32®
D. 46®
9. If ΔTEN ≅ ΔSIX, m∠T = 40, m∠E = 60, and m∠X = 2x + 32, what is the value of x?
A. 24®
B. 30®
C. 35®
D. 49®
10. The measure of an exterior angle of a triangle is always _______________. Which of the following will complete the statement?
A. equal to its adjacent interior angle
B. less than its adjacent interior angle
C. greater than either remote interior angle
D. less than either remote interior angle
11. Each of Amanda, Betty, Cindy, and Diane was given an 18-cm piece of stick. They were instructed to create a triangle. Each cut the stick in their own chosen lengths as follows: Amanda – 3 cm, 7 cm, 5 cm Betty – 4 cm, 5 cm, 9 cm Cindy – 6 cm, 6 cm, 6 cm Diane – 7 cm, 5 cm, 6 cm Who among them was not able to make a triangle? *
1 point
A. Amanda
B. Betty
C. Cindy
D. Diane
12. From the inequalities shown in given figure, a conclusion can be reached using the converse of hinge theorem. Which of the following is true? *
1 point
A. m∠OHM = m∠EHM
B. m∠EHM = m∠OHM
C. . m∠OHM > m∠EHM
D. m∠EHM > m∠OHM
13. In ΔDEF, DE = 2.8 in., DF = 3.1 in., and EF = 2.3 in., what is its largest angle? *
1 point
A. ∠D
B. ∠E
C. ∠F
D. DEF is not a triangle
14. Which of the following statements is correct? *
1 point
The exterior angle of a triangle is less than the sum of its two remote interior angles.
B. The exterior angle of a triangle is always equal to its adjacent angle.
C. The exterior angle of a triangle is greater than the sum of its two remote interior angles.
D. The exterior angle of a triangle is equal to the sum of its two remote interior angles.
8.C 9.A 10.A 11. D 12.B 13. A 14.A