Name: 
 

Ch 3 Gateway



 1. 

What is most likely the
slope of the line graphed?mc001-1.jpg
A)
1/3
B)
2/3
C)
2
D)
3
 

 2. 

What is the apparent slope of mc002-1.jpg?
mc002-2.jpg
A)
-2
B)
-1/2
C)
1/2
D)
2
 

 3. 

Which condition will guarantee that line l is parallel to line m?
mc003-1.jpg
A)
Ð1 @ Ð3
B)
Ð1 @ Ð6
C)
Ð6 @ Ð5
D)
Ð3 @ Ð5
 

 4. 

Line n intersects lines p, q, r, and s,
forming the indicated angles.











Which two lines are parallel?
mc004-1.jpg
A)
p and q
B)
p and r
C)
q and r
D)
r and s
 

 5. 

Which will prove
that line l is parallel to line m?
mc005-1.jpg
A)
Ð8 @ Ð5
B)
Ð7 @ Ð6
C)
Ð3 @ Ð8
D)
Ð5 @ Ð1
 

 6. 

Which two points determine a line
parallel to line mc006-1.jpg?mc006-2.jpg
A)
(1,1) and (2,-1)
C)
(1,4) and (5,2)
B)
(-1,-1) and (-2,-3)
D)
(2,1) and (-2,-1)
 

 7. 

Given: mÐ1 = 107°






Which must be true if y || z?
mc007-1.jpg
A)
mÐ8 = 97°
B)
mÐ7 = 107°
C)
mÐ6 = 83°
D)
mÐ5 = 107°
 

 8. 

What is most likely the slope
of the line graphed to the right?mc008-1.jpg
A)
mc008-3.jpg
B)
mc008-4.jpg
C)
mc008-5.jpg
D)
mc008-6.jpg
 

 9. 

Which two segments in the drawing
are most likely parallel?mc009-1.jpg
A)
mc009-4.jpg and mc009-5.jpg
B)
mc009-6.jpg and mc009-7.jpg
C)
mc009-8.jpg and mc009-9.jpg
D)
mc009-10.jpg and mc009-11.jpg
 

 10. 

In this figure, two lines are cut by a transversal. Which type of angles are Ð1 and Ð2?
mc010-1.jpg
A)
Vertical Angles
C)
Alternate Interior Angles
B)
Corresponding Angles
D)
Same-Side Interior Angles
 

 11. 

In this figure,
transversal e intersects lines a, b, c, and d.



Which lines must be parallel?
mc011-1.jpg
A)
a and c
B)
b and c
C)
b and d
D)
a and d
 

 12. 

Lines m and r are cut by a transversal.





What value of x will show that line m is parallel to line r ?
mc012-1.jpg
A)
8°
B)
4°
C)
9°
D)
17°
 

 13. 

For what value of x is
line l parallel to line m in this figure?mc013-1.jpg
A)
42
B)
48
C)
132
D)
138
 

 14. 

This figure represents line segments painted on a parking lot to create parking spaces.

               
Which equation can be used to show that these line segments are parallel?
mc014-1.jpg
A)
122 - w = x
C)
x + 122 = 180
B)
122 - x = w
D)
w + 122 = 180
 

 15. 

Victor 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 Ðx is
mc015-1.jpg
A)
53°
B)
74°
C)
106°
D)
127°
 

 16. 

Use this figure to answer the following.




mc016-1.jpg
is parallel to mc016-2.jpg if
mc016-3.jpg
A)
mÐ1 = mÐ2
C)
mÐ1 + mÐ2 = 90°
B)
mÐ3 = mÐ4
D)
mÐ1 + mÐ2 = mÐ3 + mÐ4
 

 17. 

In the figure, lines c and d are
cut by the transversal i forming the angles shown.





Ð
6 and Ð8 are
mc017-1.jpg
A)
Consecutive interior angles
C)
Vertical angles
B)
Alternate interior angles
D)
Corresponding angles
 

 18. 

Line t intersects lines p, q, r, and s.









Which two lines are parallel?
mc018-1.jpg
A)
Line p and line q
B)
Line p and line r
C)
Line q and line s
D)
Line r and line s
 

 19. 

The measure of ÐYZV is 42° and
the measure of ÐXYZ is 61°.



Which of these angles must measure 61° in order for mc019-1.jpg to be parallel to mc019-2.jpg?
mc019-3.jpg
A)
ÐYVZ
B)
ÐXVR
C)
ÐZYV
D)
ÐVRX
 

 20. 

The figure shows line t
intersecting lines q and r.



In the figure, Ð1 and Ð2 are
mc020-1.jpg
A)
consecutive interior angles
C)
alternate exterior angles
B)
alternate interior angles
D)
corresponding angles
 

 21. 

Lines l and m contain the points shown.









Which of the following points must lie on line m in order for lines l and m to be parallel?
mc021-1.jpg
A)
(0, –4)
B)
(0, –3)
C)
(1, –3)
D)
(4, –3)
 

 22. 

Which statement would be sufficient
to prove that line m is parallel to line n?mc022-1.jpg
A)
mc022-3.jpg
B)
mc022-4.jpg
C)
mc022-5.jpg
D)
mc022-6.jpg
 

 23. 

In this diagram, line d cuts three lines
to form the angles shown.





Which two lines are parallel?
mc023-1.jpg
A)
a and b
C)
b and c
B)
a and c
D)
No lines are parallel.
 

 24. 

Which condition will guarantee
that line a is parallel to line b?mc024-1.jpg
A)
Ð 3 @ Ð 1
B)
Ð 5 @ Ð 2
C)
Ð 1 @ Ð 2
D)
Ð 2 @ Ð 8
 

 25. 

Which is most likely the 
slope of the line graphed?mc025-1.jpg
A)
mc025-4.jpg
B)
mc025-5.jpg
C)
mc025-6.jpg
D)
mc025-7.jpg
 



 
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