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SOL Topic #7: Triangle Inequalities


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

 1. 

mc001-1.jpg
a.
Afton to Badenton, Badenton to Capeton, Afton to Capeton
b.
Afton to Badenton, Afton to Capeton, Badenton to Capeton
c.
Afton to Capeton, Afton to Badenton, Badenton to Capeton
d.
Badenton to Capeton, Afton to Badenton, Afton to Capeton
 

 2. 

mc002-1.jpg
a.
AC < AB
b.
BC < AB
c.
AB < AC
d.
AC < BC
 

 3. 

mc003-1.jpg
a.
mc003-2.jpgA, mc003-3.jpgB, mc003-4.jpgC
b.
mc003-5.jpgB, mc003-6.jpgC, mc003-7.jpgA
c.
mc003-8.jpgC, mc003-9.jpgA, mc003-10.jpgB
d.
mc003-11.jpgB, mc003-12.jpgA, mc003-13.jpgC
 

 4. 
Which of the following could be the lengths of the sides of mc004-1.jpgABC?
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. 

mc005-1.jpg
a.
mmc005-2.jpgA is greatest
b.
mmc005-3.jpgC is greatest
c.
mmc005-4.jpgA is least
d.
mmc005-5.jpgC is least
 

 6. 

mc006-1.jpg
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. 

mc007-1.jpg
a.
mc007-2.jpg, mc007-3.jpg, mc007-4.jpg
b.
mc007-5.jpg, mc007-6.jpg, mc007-7.jpg
c.
mc007-8.jpg, mc007-9.jpg, mc007-10.jpg
d.
mc007-11.jpg, mc007-12.jpg, mc007-13.jpg
 

 8. 

mc008-1.jpg
a.
mc008-2.jpg
b.
mc008-3.jpg
c.
mc008-4.jpg
d.
mc008-5.jpg
 

 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. 

mc010-1.jpg
a.
The measure of mc010-2.jpgC is the least of the three angles.
b.
The measure of mc010-3.jpgC is the greatest of the three angles.
c.
The measure of mc010-4.jpgB is the greatest of the three angles.
d.
The measure of mc010-5.jpgB is the least of the three angles.
 

 11. 

mc011-1.jpg
a.
mmc011-2.jpgA + mmc011-3.jpgB = 90°
b.
mmc011-4.jpgA + mmc011-5.jpgB < 90°
c.
AB + BE > AC
d.
AB + BC < AC
 

 12. 

mc012-1.jpg
a.
mc012-2.jpg, mc012-3.jpg, mc012-4.jpg
b.
mc012-5.jpg, mc012-6.jpg, mc012-7.jpg
c.
mc012-8.jpg, mc012-9.jpg, mc012-10.jpg
d.
mc012-11.jpg, mc012-12.jpg, mc012-13.jpg
 

 13. 
mc013-1.jpg
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. 

mc015-1.jpg

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?
                     mc017-1.jpg
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
 



 
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