Name:    SOL Topic #7: Triangle Inequalities

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1. 2. a. AC < AB b. BC < AB c. AB < AC d. AC < BC

3. a. A, B, C b. B, C, A c. C, A, B d. B, A, C

4.

Which of the following could be the lengths of the sides of ABC?
 a. AB = 12, BC = 15, AC = 2 b. AB = 9, BC = 15, AC = 4 c. AB = 150, BC = 100, AC = 50 d. AB = 10, BC = 8, AC = 12

5. a. m A is greatest b. m C is greatest c. m A is least d. m C is least

6. a. A to B, B to C, A to C b. B to C, A to B, A to C c. B to C, A to C, A to B d. A to C, A to B, B to C

7. a. , , b. , , c. , , d. , , 8. a. b. c. d. 9.

On a map, Tannersville, Chadwick, and Barkersville form a triangle.  Chadwick is 70 miles from Tannersville and Barkersville is 90 miles from Tannersville.  Which is a possible distance between Chadwick and Barkersville?
 a. 5 miles b. 10 miles c. 150 miles d. 200 miles

10. a. The measure of C is the least of the three angles. b. The measure of C is the greatest of the three angles. c. The measure of B is the greatest of the three angles. d. The measure of B is the least of the three angles.

11. a. m A + m B = 90° b. m A + m B < 90° c. AB + BE > AC d. AB + BC < AC

12. a. , , b. , , c. , , d. , , 13. a. ÐR, ÐQ, ÐP b. ÐR, ÐP, ÐQ c. ÐQ, ÐR, ÐP d. ÐP, ÐR, ÐQ

14.

Which set of lengths could not be the lengths of the sides of a triangle?
 a. 7 in., 24 in., 30 in. b. 8 ft., 10 ft., 12 ft. c. 4cm, 5 cm, 9 cm d. 2 m, 3 m, 4 m

15. The locations of three water pumping stations form a triangle on a map of the area. The distance  from station A to station B is 650 meters. The distance from station B to station C is 558 meters. The distance from station A to station C is -
 a. less than 92 m b. exactly 92 m c. between 92 m and 1,208 m d. greater than 1,208 m

16.

Which list could not be the measures of lengths of the three sides of a given triangle?
 a. 5 cm, 12 cm, 15 cm b. 2 ft, 6 ft, 5 ft c. 11 mi, 4 mi, 12 mi d. 12 yd, 35 yd, 20 yd

17.

In the drawing of triangle XYZ, which angle has the least measure? a. All angles have the same measure. b. ÐXYZ c. ÐZXY d. ÐXZY

18.

If m ÐA = 65°, m ÐB = 15°, m ÐC = 100°, which lists the sides of the triangle in order from shortest to longest?
 a. AC, AB, BC b. BA, BC, AC c. BA, AC, BC d. AC, BC, BA