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Ch 3 Gateway

 1. 

The slope of the line joining the coordinate points  (–9, 7) and (4, –4) is
A)
mc001-3.jpg
B)
mc001-4.jpg
C)
mc001-5.jpg
D)
mc001-6.jpg
 

 2. 

Lines d and e contain the points shown.









Which of the following points must lie on line e in order for lines d and e to be parallel?
mc002-1.jpg
A)
(0, –4)
B)
(0, –3)
C)
(1, –3)
D)
(4, –3)
 

 3. 

Line m contains points (1, -3) and (2, 2). Which of the following pairs of points define a line parallel to line m?
A)
(0, 0) and (-1, 1)
C)
(1, 1) and (6, 2)
B)
(0, 0) and (1, 5)
D)
(-4, 0) and (5, 5)
 

 4. 

In the figure shown, parallel lines j and k
are cut by transversal m.











What is mÐ1?
mc004-1.jpg
A)
38°
B)
52°
C)
128°
D)
142°
 

 5. 

Use this figure to answer the following.




mc005-1.jpg
is parallel to mc005-2.jpg if
mc005-3.jpg
A)
mc005-4.jpg
C)
mc005-6.jpg
B)
mc005-5.jpg
D)
mc005-7.jpg
 

 6. 

Hector used a decorative fencing
to enclose his deck.

Using the information on the diagram and assuming the top and bottom are parallel, the measure of mc006-1.jpg is
mc006-2.jpg
A)
49°
B)
82°
C)
98°
D)
131°
 

 7. 

Given :  F(7, 4) and M(3, 7)                      What is the slope of mc007-1.jpg?
A)
mc007-4.jpg
B)
mc007-5.jpg
C)
mc007-6.jpg
D)
mc007-7.jpg
 

 8. 

Which is most likely the 
slope of the line graphed?mc008-1.jpg
A)
mc008-4.jpg
B)
mc008-5.jpg
C)
mc008-6.jpg
D)
mc008-7.jpg
 

 9. 

If lines a and b are parallel,
what is the value of x ?mc009-1.jpg
A)
115
B)
110
C)
70
D)
65
 

 10. 

Given: mc010-1.jpg






Which must be true if y || z?
mc010-2.jpg
A)
mc010-4.jpg
B)
mc010-5.jpg
C)
mc010-6.jpg
D)
mc010-7.jpg
 

 11. 

Line r intersects lines a, t, w, and f,
forming angles with measures as indicated on the drawing.








Which two lines are parallel?
mc011-1.jpg
A)
a and t
B)
t and f
C)
w and f
D)
a and w
 

 12. 

The diagram shows a table
being constructed.


If the leg piece forms a 75° angle with the top of the table, what must be the value of x so that the top of the table is parallel to the floor?
mc012-1.jpg
A)
30°
B)
75°
C)
150°
D)
105°
 

 13. 

For what value of x is
line t parallel to line u
in this figure?
mc013-1.jpg
A)
40
B)
50
C)
130
D)
140
 

 14. 

In each of the following figures, transversal m cuts lines k and l.
In which figure are mc014-1.jpg alternate exterior angles?
A)
mc014-3.jpg
C)
mc014-5.jpg
B)
mc014-4.jpg
D)
mc014-6.jpg
 

 15. 

What value for x will show
that lines n and f are parallel?



mc015-1.jpg
A)
16
B)
15
C)
25
D)
26
 

 16. 

In this figure,
transversal p intersects lines k, l, m, and n.



Which lines must be parallel?
mc016-1.jpg
A)
k and m
B)
l and m
C)
l and n
D)
k and n
 

 17. 

Transversal y intersects lines
w and x as shown.






Which of the following relationships makes w // x?
mc017-1.jpg
A)
2 and 3 are the same
C)
1 and 3 are supplementary
B)
1 and 3 are the same
D)
1 and 4 are the same
 

 18. 

This diagram shows how a periscope works.
If the two mirrors are parallel and
mc018-1.jpg, what is mc018-2.jpg when mc018-3.jpg?
mc018-4.jpg
A)
30°
B)
45°
C)
50°
D)
60°
 

 19. 

In the figure below



mc019-1.jpg
and mc019-2.jpg are a pair of:
mc019-3.jpg
A)
Alternate exterior angles
C)
Consecutive interior angles
B)
Vertical angles
D)
Alternate interior angles
 

 20. 

Lines t and u are cut by transversal v.








Which statement would prove t // u?
mc020-1.jpg
A)
mc020-3.jpg
C)
mc020-5.jpg
B)
mc020-4.jpg
D)
mc020-6.jpg
 

 21. 

What is most likely the slope
of the line graphed to the right?mc021-1.jpg
A)
mc021-3.jpg
B)
mc021-4.jpg
C)
mc021-5.jpg
D)
mc021-6.jpg
 

 22. 

The figure represents a ramp
with handrails. 
Segments KL and NP are parallel to RS. 
Segments LM and PQ are parallel to ST. 
Segments KR and LS are parallel to MT.

                     
If mc022-1.jpg, what is mc022-2.jpg ?
mc022-3.jpg
A)
60º
B)
90º
C)
120º
D)
150º
 

 23. 

In the figure, lines g and h are
cut by the transversal i forming the angles shown.





mc023-1.jpg
and mc023-2.jpg are
mc023-3.jpg
A)
Vertical angles
C)
Alternate interior angles
B)
Corresponding angles
D)
Alternate exterior angles
 

 24. 

What is most likely the
slope of the line graphed?mc024-1.jpg
A)
mc024-4.jpg
B)
mc024-5.jpg
C)
mc024-6.jpg
D)
mc024-7.jpg
 

 25. 

Using the information on the diagram,
which is true?mc025-1.jpg
A)
mc025-5.jpg
B)
mc025-6.jpg
C)
mc025-7.jpg
D)
mc025-8.jpg
 



 
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