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Ch 7 Gateway

 1. 
The polygon in the drawing
is a regular octogon with O
as its center.


What is the value of x?		mc001-1.jpg
A)
40°
B)
45°
C)
30°
D)
72°
 

 2. 
Figure EFGH is a rectangle.
mc002-1.jpg and mc002-2.jpg are diagonals.
                      
mc002-3.jpg = 39 yards and mc002-4.jpg = 23 yards.

What is the length of mc002-5.jpg?		mc002-6.jpg
A)
16 yd
B)
19.5 yd
C)
31.5 yd
D)
23 yd
 

 3. 
This figure is composed of
an isosceles trapezoid and a regular octagon.
        
What is the value of x ?		mc003-1.jpg
A)
97
B)
121
C)
104
D)
173
 

 4. 
In rhombus ABCD,
AC is 24 meters and BD is 32 meters.



What is the perimeter of the rhombus?		mc004-1.jpg
A)
20 m
B)
40 m
C)
80 m
D)
160 m
 

 5. 
Three vertices of parallelogram ABCD
have coordinates (-1, 4), (3, 8), and (5, 0).












What are the coordinates of the other first-quadrant vertex?		mc005-1.jpg
A)
(-3, 12)
B)
(-1, 4)
C)
(1, 4)
D)
(9, 4)
 

 6. 
The quadrilateral STUV is a parallelogram.


Which of the following pieces of information would suffice to prove that STUV  is a rectangle?		mc006-1.jpg
A)
SU = TV
C)
mc006-2.jpg
B)
ST = SV
D)
mc006-3.jpg and mc006-4.jpg are supplementary
 

 7. 
Figure ABCDEFGH is a regular octagon.






What is the measure of mc007-1.jpg?		mc007-2.jpg
A)
135°
B)
60°
C)
45°
D)
30°
 

 8. 
Which figure has all sides of equal measure but not necessarily all angles of equal measure?
A)
Square
B)
Rectangle
C)
Rhombus
D)
Trapezoid
 

 9. 
Each exterior angle of a certain regular polygon measures mc009-1.jpg. How many sides does the polygon have?
A)
18
B)
5
C)
15
D)
20
 

 10. 
What is the value of x
in the pentagon?mc010-1.jpg
A)
109°
B)
149°
C)
180°
D)
169°
 

 11. 
Quadrilateral STUV is a parallelogram.
The measure of ÐV is:mc011-1.jpg
A)
162°
B)
72°
C)
108°
D)
18°
 

 12. 
Which angle measure below is not a possible measure of an exterior angle of a regular polygon?
A)
24°
B)
20°
C)
30°
D)
27°
 

 13. 
In the rectangle FGHJ,
mc013-1.jpg.


What is mc013-2.jpg? 		mc013-3.jpg
A)
144°
B)
36°
C)
54°
D)
72°
 

 14. 
One exterior angle of a regular polygon measures 45°. What is the measure of one interior angle?
A)
45°
B)
135°
C)
360°
D)
155°
 

 15. 
In quadrilateral MNPQ,
what is the measure of ÐP ?mc015-1.jpg
                    
A)
41°
B)
51°
C)
88°
D)
98°
 

 16. 
In parallelogram WXYZ,
what are the coordinates of the point of intersection of mc016-1.jpg and mc016-2.jpg?mc016-3.jpg
A)
(2.5, 2.5)
B)
(7.5, 3.5)
C)
(5.5, 3.5)
D)
(3.5, 3.5)
 

 17. 
Each interior angle of a regular polygon measures 135.  How many sides does the polygon have?
A)
9
B)
8
C)
10
D)
7
 

 18. 
EFGH and HJGK are both squares.
If mc018-1.jpg meters, what is the perimeter of HJGK ?mc018-2.jpg
A)
18 m
B)
36 m
C)
54 m
D)
72 m
 

 19. 
Which of the following quadrilaterals is not a parallelogram?
A)
Rectangle
B)
Rhombus
C)
Square
D)
Kite
 

 20. 
HJKL is a rhombus with mc020-1.jpg.


What is mc020-2.jpg ?		mc020-3.jpg
A)
mc020-4.jpg
B)
mc020-5.jpg
C)
mc020-6.jpg
D)
mc020-7.jpg
 

 21. 
Given the polygon shown,
the sum of the interior angles ismc021-1.jpg
A)
1260°
B)
720°
C)
900°
D)
1080°
 

 22. 
In parallelogram NKHQ,
the measure mc022-1.jpg of is --mc022-2.jpg
             
A)
106°
B)
118°
C)
112°
D)
328°
 

 23. 
A rectangular rug is 16 feet long and 12 feet wide. A rhombus design is formed inside the rug by joining the midpoints of each side of the rectangle. What is the length of each side of the rhombus?
A)
10 ft
B)
20 ft
C)
4 ft
D)
28 ft
 

 24. 
The design for a quilt piece
is made up of 6 congruent parallelograms.







What is the measure of Ð1?		mc024-1.jpg
A)
30°
B)
60°
C)
120°
D)
150°
 

 25. 
Which of the following quadrilaterals could have diagonals that are congruent but do not bisect each other?
A)
A rhombus
B)
A square
C)
A parallelogram
D)
A trapezoid
 



 
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