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Cumulative Ch 6 Gateway

 1. 

Three lookout towers are located at
points F, G, and H on the section of a national forest shown in the drawing.





Which of the following statements is true concerning mc001-1.jpg formed by the towers?
mc001-2.jpg
A)
mc001-4.jpgG is greatest.
B)
mc001-5.jpgG is least.
C)
mc001-6.jpgH is greatest.
D)
mc001-7.jpgH is least.
 

 2. 

Which of the following is the measure
of the supplement of mc002-1.jpg?mc002-2.jpg
A)
90°
B)
136°
C)
134°
D)
46°
 

 3. 

Two parallel sections of pipe are joined
with a connecting pipe as shown.




What is the value of x?
mc003-1.jpg
A)
115°
B)
125°
C)
55°
D)
105°
 

 4. 

In which group of statements is the conclusion not justified by the previous pair of statements?
A)
All mechanics work in the garage.
Mary is a mechanic.
Mary works in the garage.
C)
All squares are rhombi.
All rhombi are parallelograms.
All squares are parallelograms.
B)
All fish live in the water.
Some snakes live in the water.
Some snakes are fish.
D)
All dinosaurs are extinct.
A triceratop is a dinosaur.
All triceratops are extinct.
 

 5. 

Which of the following could not be the lengths of the sides of a triangle?
A)
21 in., 19 in., 20 in.
C)
15 in., 16 in., 17 in.
B)
25 in., 14 in., 39 in.
D)
19 in., 30 in., 26 in.
 

 6. 

In mc006-1.jpg, mmc006-2.jpg feet, mmc006-3.jpg feet, and mmc006-4.jpg feet.

Which lists the angles in order from smallest to largest?
A)
mc006-8.jpg
B)
mc006-9.jpg
C)
mc006-10.jpg
D)
mc006-11.jpg
 

 7. 

In any mc007-1.jpg, which statement is always true?
A)
MN + NP > MP
C)
MN + NP < MP
B)
mc007-2.jpgM + mc007-3.jpgN < 90°
D)
mc007-4.jpgM + mc007-5.jpgN = 90°
 

 8. 

Jules made these
measurements on DMNP.


NP must be ___
mc008-1.jpg
A)
between 21 and 19 feet
C)
less than 8 feet
B)
between 8 and 21 feet
D)
greater than 19 feet
 

 9. 

Which list has the sides of mc009-1.jpg
ordered from shortest to longest?mc009-2.jpg
A)
mc009-8.jpg
B)
mc009-9.jpg
C)
mc009-10.jpg
D)
mc009-11.jpg
 

 10. 

On a map, Durango, Leadville, and Limon form a triangle. Leadville is 75 miles from Durango and Limon is 91 miles from Durango. Which is a possible distance between Leadville and Limon?
A)
15 miles
B)
177 miles
C)
8 miles
D)
164 miles
 

 11. 

A line segment has an endpoint at (1, 3).  If the midpoint of the line segment is (5, –1), what are the coordinates of the point at the other end of the line segment?
A)
(3, 1)
B)
(9, –5)
C)
(9, 4)
D)
(–3, 7)
 

 12. 

Which list has the sides of mc012-1.jpg
ordered from longest to shortest?mc012-2.jpg
A)
mc012-7.jpg
B)
mc012-8.jpg
C)
mc012-9.jpg
D)
mc012-10.jpg
 

 13. 

Which of the following letters has both vertical and horizontal line symmetry?
                                                  I    G    R    K
A)
G
B)
K
C)
I
D)
R
 

 14. 

Which of the following could not be the lengths of the sides of a triangle?
A)
18 cm, 16 cm, 17 cm
C)
16 m, 27 m, 23 m
B)
16 km, 11 km, 27 km
D)
12 mi, 13 mi, 14 mi
 

 15. 

In mc015-1.jpg, if mc015-2.jpgD > mc015-3.jpgC > mc015-4.jpgB, then:
A)
CD > BC > DB
B)
BC > BD > CD
C)
BD > BC > CD
D)
BC > CD > DB
 

 16. 

Three towns form a triangle on a map.
The angle formed at the point designating Antonio is 62°, at Boston 47°, and at Casper 71°



Which lists the distances between towns in order, least to greatest?
mc016-1.jpg
A)
Antonio to Boston, Boston to Casper, Antonio to Casper
B)
Antonio to Boston, Antonio to Casper, Boston to Casper
C)
Antonio to Casper, Antonio to Boston, Boston to Casper
D)
Antonio to Casper, Casper to Boston, Antonio to Boston
 

 17. 

In the design, a hexagon is
inscribed in a circle.



Which point shows the location of Point Q after a 120° clockwise rotation around the center?
mc017-1.jpg
A)
V
B)
U
C)
T
D)
S
 

 18. 

Elizabeth plotted the 3 towns closest   
to her house on a graph with town R at (9, 11), town Q at (9, 6) and town P at (2, 2).

She drew the triangle joining the 3 points.





Which lists the angles formed in size, smallest to largest?
mc018-1.jpg
A)
mc018-4.jpg
B)
mc018-5.jpg
C)
mc018-6.jpg
D)
mc018-7.jpg
 

 19. 

From largest to smallest
the angles of mc019-1.jpg are: mc019-2.jpg
A)
mc019-7.jpg
B)
mc019-8.jpg
C)
mc019-9.jpg
D)
mc019-10.jpg
 

 20. 

Which of the following could be the lengths of the sides of DTUV?
A)
TU = 12, UV = 20, VT = 6
C)
TU = 137, UV = 81, VT = 56
B)
TU = 6, UV = 31, TV = 26
D)
TU = 13, UV = 19, TV = 5
 

 21. 

On the shores of a river, surveyors
marked locations, N, P, and Q.
The measure of mc021-1.jpg , and
the measure of mc021-2.jpg .

Which lists the distances between these locations in order, least to greatest?
mc021-3.jpg
A)
P to Q, N to Q, N to P
C)
N to Q, N to P, P to Q
B)
N to P, P to Q, N to Q
D)
P to Q, N to P, N to Q
 

 22. 

Three boys are in a field flying kites.
Viewed from above, the angle at Kyle, K, measures 54°, and the angle at Jake, J, measures 59°.



Which shows the distances between the boys in order from greatest to least?
mc022-1.jpg
A)
JL, LK, JK
B)
KL, KJ, LJ
C)
JK, LK, JL
D)
LJ, JK, KL
 

 23. 

John wants to make a triangular garden. Which of the following are possible dimensions?
A)
7 ft by 15 ft by 22 ft
C)
15 ft by 20 ft by 25 ft
B)
8 ft by 3 ft by 12 ft
D)
6 ft by 6 ft by 12 ft
 

 24. 

Given: ABCD is a parallelogram.
Prove: mc024-1.jpgmc024-2.jpg
Statements
Reasons
  mc024-3.jpg
Reflexive (shared side)
mc024-4.jpg
Opposite sides of a parallelogram are congruent
mc024-5.jpg
Opposite sides of a parallelogram are congruent
Therefore, mc024-6.jpg by which postulate/theorem?
A)
SSS
B)
ASA
C)
AAS
D)
SSA
 

 25. 

If mc025-1.jpgM = 46°, mc025-2.jpgN = 30°, mc025-3.jpgP = 104°, which lists the sides of the triangle in order from shortest to longest?
A)
mc025-8.jpg
B)
mc025-9.jpg
C)
mc025-10.jpg
D)
mc025-11.jpg
 



 
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