Name: 
 

Ch 5 Gateway



 1. 

Three towns form a triangle on a map.
The angle formed at the point designating Altoona is 56°, at Boston 46°, and at Columbus 78°



Which lists the distances between towns in order, least to greatest?
mc001-1.jpg
A)
Altoona to Boston, Boston to Columbus, Altoona to Columbus
B)
Altoona to Boston, Altoona to Columbus, Boston to Columbus
C)
Altoona to Columbus, Altoona to Boston, Boston to Columbus
D)
Altoona to Columbus, Columbus to Boston, Altoona to Boston
 

 2. 

Three boats are anchored in a bay.


Given the information in the diagram, which of the following statements concerning the distances between the boats is true?
mc002-1.jpg
A)
UV < UW
B)
VW < UV
C)
UV < UW
D)
VW < UW
 

 3. 

On the shores of a river, surveyors
marked locations, L, M, and N.
The measure of ÐLNM = 71°, and
the measure of ÐLMN = 65°.

Which lists the distances between these locations in order, greatest to least?
mc003-1.jpg
A)
L to M, M to N, L to N
C)
L to M, L to N, M to N
B)
M to N, L to M, L to N
D)
L to N, L to M, M to N
 

 4. 

Which of the following could be the lengths of the sides of DSTU?
A)
ST = 12, TU = 17, SU = 4
C)
ST = 136, TU = 83, US = 53
B)
ST = 8, TU = 15, US = 5
D)
ST = 12, TU = 28, SU = 26
 

 5. 

From longest to shortest,  
the sides of mc005-1.jpg are mc005-2.jpg
A)
mc005-4.jpg
B)
mc005-5.jpg
C)
mc005-6.jpg
D)
mc005-7.jpg
 

 6. 

On a map, Manatu Springs, Pueblo, and Salem form a triangle. Pueblo is 69 miles from Manatu Springs and Salem is 93 miles from Manatu Springs. Which is a possible distance between Pueblo and Salem?
A)
12 miles
B)
23 miles
C)
91 miles
D)
181 miles
 

 7. 

In the drawing,
the measure of ÐK = 130°
and the measure of ÐJ = 36°.



Which is the shortest side of the triangle?
mc007-1.jpg
A)
mc007-4.jpg
B)
mc007-5.jpg
C)
mc007-6.jpg
D)
mc007-7.jpg
 

 8. 

In triangle VWX, VX = 18, VW = 20, and WX = 17. Which is true?
A)
The measure of ÐX is the least of the three angles.
B)
The measure of ÐX is the greatest of the three angles.
C)
The measure of ÐW is the greatest of the three angles.
D)
The measure of ÐW is the least of the three angles.
 

 9. 

Jules made these
measurements on DJKL.


KL must be ___
mc009-1.jpg
A)
less than 12 feet
C)
between 20 and 30 feet
B)
between 12 and 20 feet
D)
greater than 30 feet
 

 10. 

In any DRST, which statement is always true?
A)
mÐR + mÐS = 90°
C)
RS + ST > RT
B)
mÐR + mÐS < 90°
D)
RS + ST < RT
 

 11. 

From smallest to largest
the angles of DJKL are: mc011-1.jpg
A)
ÐL, ÐK, ÐJ
B)
ÐK, ÐJ, ÐL
C)
ÐK, ÐL, ÐJ
D)
ÐJ, ÐK, ÐL
 

 12. 

Which of the following could not be the lengths of the sides of a triangle?
A)
7 ft, 18 ft, 14 ft
C)
3 m, 4 m, 5 m
B)
9 yd, 2 yd, 11 yd
D)
9 km, 7 km, 8 km
 

 13. 

Which of the following could not be the lengths of the sides of a triangle?
A)
46 cm, 57 cm, 53 cm
C)
42 ft, 43 ft, 44 ft
B)
25 in, 41 in, 67 in
D)
48 yd, 46 yd, 47 yd
 

 14. 

In the drawing of triangle 
DJKL, which angle has the greatest measure?mc014-1.jpg
A)
All angles have the same measure.
C)
ÐLJK
B)
ÐJLK
D)
ÐJKL
 

 15. 

Using the information in the drawing,
which angle has the least measure?mc015-1.jpg
                      
A)
ÐDBY
B)
ÐDYB
C)
ÐBDY
D)
ÐYBD
 

 16. 

If mÐC = 55°, mÐD = 30°, mÐE = 95°, which lists the sides of the triangle in order from shortest to longest?
A)
mc016-2.jpg
B)
mc016-3.jpg
C)
mc016-4.jpg
D)
mc016-5.jpg
 

 17. 

Which of the following could not be the lengths of the sides of a triangle?
A)
37 in, 48 in, 44 in
C)
33 yd, 34 yd, 35 yd
B)
9 ft, 32 ft, 41 ft
D)
39 m, 37 m, 38 m
 

 18. 

In DXYZ, mmc018-1.jpg mm, mmc018-2.jpg mm, and mmc018-3.jpg mm.

Which lists the angles in order from largest to smallest?
A)
ÐX, ÐY, ÐZ
B)
ÐZ, ÐX, ÐY
C)
ÐY, ÐZ, ÐX
D)
ÐX, ÐZ, ÐY
 

 19. 

In DGHJ, if mÐJ > mÐH > mÐG, then:
A)
GH > GJ > HJ
B)
GJ > GH > HJ
C)
GH > HJ > JG
D)
HJ > GH > JG
 

 20. 

Which pipe lengths could be joined to form a triangle?
A)
9 ft, 6 ft, 2 ft
B)
20 ft, 10 ft, 7 ft
C)
15 ft, 12 ft, 9 ft
D)
21 ft, 13 ft, 6 ft
 

 21. 

Which list has the sides of mc021-1.jpg
ordered from shortest to longest?mc021-2.jpg
A)
mc021-4.jpg
B)
mc021-5.jpg
C)
mc021-6.jpg
D)
mc021-7.jpg
 

 22. 

Jill wants to make a triangular garden. Which of the following are possible dimensions?
A)
5 ft by 6 ft by 12 ft
C)
9 ft by 12 ft by 15 ft
B)
6 ft by 6 ft by 12 ft
D)
17 ft by 7 ft by 24 ft
 

 23. 

Three survey markers are located on a map at points P, Q, and R. A triangle is formed by connecting these markers by string so that mc023-1.jpg feet, mc023-2.jpg feet, and mc023-3.jpg feet.

Which statement is true about the measures of the angles of mc023-4.jpg
?
A)
mc023-5.jpg is the largest
C)
mc023-7.jpg is the smallest
B)
mc023-6.jpg is the smallest
D)
mc023-8.jpg is the largest
 

 24. 

Two sides of a triangle measure 9 centimeters and 8 centimeters.
Which cannot be the length of the remaining side?
A)
1 cm
B)
9 cm
C)
8 cm
D)
16 cm
 

 25. 

Which of the following lists
the sides of DGHJ from
shortest to longest length?
mc025-1.jpg
A)
mc025-3.jpg
B)
mc025-4.jpg
C)
mc025-5.jpg
D)
mc025-6.jpg
 



 
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