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Cumulative Ch 7 Gateway

 1. 

What is the midpoint of the segment joining (10, 4) and mc001-1.jpg?
A)
(6.5, 4)
B)
(8, 13)
C)
mc001-3.jpg
D)
mc001-4.jpg
 

 2. 

Figure ABCDEF is a regular hexagon. 


What is the measure of mc002-1.jpg?
mc002-2.jpg
A)
45°
B)
60°
C)
90°
D)
120°
 

 3. 

In mc003-1.jpg, mmc003-2.jpg mm, mmc003-3.jpg mm, and mmc003-4.jpg mm.

Which lists the angles in order from smallest to largest?
A)
mc003-8.jpg
B)
mc003-9.jpg
C)
mc003-10.jpg
D)
mc003-11.jpg
 

 4. 

In the figure, line q is a
transversal for lines x and u.



Which of the following best describes the relationship between mc004-1.jpg and mc004-2.jpg?
mc004-3.jpg
A)
Alternate interior angles
C)
Alternate exterior angles
B)
Consecutive interior angles
D)
Corresponding angles
 

 5. 

A diagonal of parallelogram  PQRS 
forms angles with measures as shown.



What is the measure of ÐPQR?
mc005-1.jpg
A)
80°
B)
52°
C)
100°
D)
48°
 

 6. 

Each exterior angle of a certain regular polygon measures mc006-1.jpg. How many sides does the polygon have?
A)
6
B)
8
C)
10
D)
9
 

 7. 

The quadrilateral KLMN is a parallelogram.


Which of the following pieces of information would suffice to prove that KLMN  is a rectangle?
mc007-1.jpg
A)
mc007-2.jpg and mc007-3.jpg are supplementary
C)
KM = LN
B)
KL = KN
D)
mc007-4.jpg
 

 8. 

Which of the following is not true about a parallelogram?
A)
Any two opposite angles are congruent
B)
The diagonals bisect each other.
C)
Any two opposite sides are parallel
D)
Any two consecutive angles are congruent
 

 9. 

In the figure shown,






what is mc009-1.jpg?
mc009-2.jpg
A)
mc009-4.jpg
B)
mc009-5.jpg
C)
mc009-6.jpg
D)
mc009-7.jpg
 

 10. 

What is the value of x
in trapezoid TUVW?

mc010-1.jpg
A)
9.5
B)
10
C)
14.5
D)
4.5
 

 11. 

In the rectangle ABCD,
mc011-1.jpg.


What is mc011-2.jpg?
mc011-3.jpg
A)
44°
B)
46°
C)
68°
D)
136°
 

 12. 

Given: ABCD is a parallelogram.
Prove: mc012-1.jpgmc012-2.jpg
Statements
Reasons
mc012-3.jpg
Opposite angles of a parallelogram are congruent
mc012-4.jpg
Opposite sides of a parallelogram are congruent
mc012-5.jpg
Opposite sides of a parallelogram are congruent
Therefore, mc012-6.jpg by which postulate/theorem?
A)
ASA
B)
SSA
C)
AAS
D)
SAS
 

 13. 

The two adjacent figures
are a regular hexagon and a regular octagon.







What is the measure of mc013-1.jpg?
mc013-2.jpg
A)
87.5°
B)
105°
C)
120°
D)
90°
 

 14. 

TUVW and WXVY are both squares.
If mc014-1.jpg meters, what is the perimeter of WXVY ?mc014-2.jpg
A)
18 m
B)
54 m
C)
36 m
D)
72 m
 

 15. 

What is the apparent slope of mc015-1.jpg?
 mc015-2.jpg
A)
mc015-5.jpg
B)
mc015-6.jpg
C)
mc015-7.jpg
D)
mc015-8.jpg
 

 16. 

JKLM is a rhombus.
What is the measure of ÐLMK?mc016-1.jpg
A)
48°
B)
69°
C)
64°
D)
79°
 

 17. 

The polygon shown is convex.






The sum of its interior angle measures is:
mc017-1.jpg
A)
720°
B)
900°
C)
1080°
D)
1260°
 

 18. 

In rectangle PQRS, the slope of  mc018-1.jpg is mc018-2.jpg.  What is the slope of mc018-3.jpg?
A)
mc018-5.jpg
B)
mc018-6.jpg
C)
mc018-7.jpg
D)
mc018-8.jpg
 

 19. 

Given quadrilateral AVUE,
what is the value of x?

mc019-1.jpg
A)
37.75
B)
40.25
C)
53.67
D)
42.75
 

 20. 

Which is most likely a
line of symmetry for triangle TUV ?mc020-1.jpg


A)
j
B)
m
C)
k
D)
l
 

 21. 

Which set of statements represents an invalid argument?
A)
If it is your birthday, then you will get ice cream.
If you will get ice cream, then you will get cake.
If it is your birthday, then you will get cake.
B)
If I sleep in, then I will miss school.
If I miss school, then I will get grounded.
If I sleep in, then I will get grounded.
C)
If John goes to his grandparents, then he will go go 4-wheeling.
If John goes go 4-wheeling, then he will buy gas.
If John does not buy gas, then he will go to his grandparents.
D)
If we clean up our room, then we will go to the mall.
If we go to the mall, then we will get some new clothes.
If we do not get some new clothes, then we did not clean up our room.
 

 22. 

Which of the following lists
the sides of mc022-1.jpg from
shortest to longest length?
mc022-2.jpg
A)
mc022-8.jpg
B)
mc022-9.jpg
C)
mc022-10.jpg
D)
mc022-11.jpg
 

 23. 

If each interior angle of a regular polygon measures 120°, how many sides does the polygon have?
A)
7
B)
5
C)
8
D)
6
 

 24. 

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

 25. 

One exterior angle of a regular polygon measures 60°. What is the measure of one interior angle?
A)
360°
B)
120°
C)
140°
D)
30°
 



 
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