Name:     ID: 
 
Email: 

Cumulative Ch 3 Gateway

 1. 

In the figure below



mc001-1.jpg
and mc001-2.jpg are a pair of:
mc001-3.jpg
A)
Alternate exterior angles
C)
Alternate interior angles
B)
Corresponding angles
D)
Vertical angles
 

 2. 

Which statement would not prove
line q parallel to line r ?mc002-1.jpg
A)
Ð4 @ Ð5
B)
Ð2 @ Ð7
C)
Ð4 @ Ð8
D)
Ð2 @ Ð3
 

 3. 

Lines x and y are cut by transversal z.








Which statement would prove x // y?
mc003-1.jpg
A)
mÐ3 = mÐ6
C)
mÐ1 = mÐ4
B)
mÐ6 + mÐ8 = 180°
D)
mÐ4 + mÐ6 = 90°
 

 4. 

The figure shows line s
intersecting lines q and r.



In the figure, Ð1 and Ð2 are
mc004-1.jpg
A)
consecutive interior angles
C)
corresponding angles
B)
alternate exterior angles
D)
alternate interior angles
 

 5. 

Which is most likely the 
slope of the line graphed?mc005-1.jpg
A)
mc005-4.jpg
B)
mc005-5.jpg
C)
mc005-6.jpg
D)
mc005-7.jpg
 

 6. 

Parallelogram ABCD is positioned
on a coordinate plane with the coordinates as shown. 

N is the midpoint of mc006-1.jpg


What are the coordinates of N?
mc006-2.jpg
A)
(8, 16)
B)
(8, 2)
C)
(14, 10)
D)
(16, 8)
 

 7. 

For what measure of ÐD
is mc007-1.jpg in this figure?mc007-2.jpg
A)
54
B)
26
C)
100
D)
74
 

 8. 

Which two segments in the
drawing are most likely parallel?mc008-1.jpg
A)
mc008-4.jpg and mc008-5.jpg
B)
mc008-6.jpg and mc008-7.jpg
C)
mc008-8.jpg and mc008-9.jpg
D)
mc008-10.jpg and mc008-11.jpg
 

 9. 

A construction engineer needs to
make sure a ceiling beam is parallel to its corresponding floor beam. Based on the drawing, which pair of measurements is sufficient to show the beams are parallel?mc009-1.jpg
A)
x = z
B)
y = z
C)
y = w
D)
x = y
 

 10. 

What is the contrapositive of the following statement?

If Joe goes fishing, then he needs bait.
A)
If Joe does not go fishing, then he does not need bait.
B)
If he needs bait, then Joe goes fishing.
C)
If he does not need bait, then Joe does not go fishing.
D)
If Joe goes fishing, then he does not need bait.
 

 11. 

The measure of ÐYZV is 44° and
the measure of ÐXYZ is 65°.



Which of these angles must measure 44° in order for mc011-1.jpg to be parallel to mc011-2.jpg?
mc011-3.jpg
A)
ÐVRX
B)
ÐZYV
C)
ÐYVZ
D)
ÐZVR
 

 12. 

In the drawing below, mc012-1.jpg and mc012-2.jpg are
mc012-3.jpg
A)
alternate interior angles
D)
a linear pair
B)
consecutive interior angles
E)
a vertical angle pair
C)
corresponding angles
F)
alternate exterior angles
 

 13. 

Line c is parallel to line r if
 mc013-1.jpg
A)
mc013-2.jpg
B)
mc013-3.jpg
C)
mc013-4.jpg
D)
mc013-5.jpg
 

 14. 

Which condition will guarantee
that line y is parallel to line z?mc014-1.jpg
A)
Ð 3 @ Ð 8
B)
Ð 4 @ Ð 8
C)
Ð 8 @ Ð 5
D)
Ð 6 @ Ð 8
 

 15. 

Line a passes through points with coordinates (-4, 5) and (2, -2).
What is the slope of a line perpendicular to line a
A)
mc015-3.jpg
B)
mc015-4.jpg
C)
mc015-5.jpg
D)
mc015-6.jpg
 

 16. 

The slope of the line joining the coordinate points  (6, –4) and (–9, 7) is
A)
mc016-3.jpg
B)
mc016-4.jpg
C)
mc016-5.jpg
D)
mc016-6.jpg
 

 17. 

In this drawing, s || t and h || j.



Which angle is not necessarily congruent to mc017-1.jpg?
mc017-2.jpg
A)
mc017-5.jpg
B)
mc017-6.jpg
C)
mc017-7.jpg
D)
mc017-8.jpg
 

 18. 

Which is a valid conclusion that can be drawn from these statements?

If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite sides are congruent.

A)
Opposite sides of a quadrilateral are congruent.
B)
Every quadrilateral is a rhombus.
C)
Every parallelogram is a rhombus.
D)
Opposite sides of a rhombus are congruent.
 

 19. 

Consider the following statements.

p: The sum of two angles is 90°.
q: The two angles are complements.

Which of the following is a symbolic representation of the statement:
       “If two angles are not complements, then the sum of two angles is 90°”?
A)
mc019-2.jpg
B)
mc019-3.jpg
C)
mc019-4.jpg
D)
mc019-5.jpg
 

 20. 

Lines m and r are cut by a transversal.





What value of x will show that line m is parallel to line r ?
mc020-1.jpg
A)
18°
B)
15°
C)
19°
D)
25°
 

 21. 

Which point is the greatest distance from the origin?
A)
(–3, –4)
B)
(–2, –1)
C)
(5, –5)
D)
(–2, 3)
 

 22. 

Line j is a transversal.
For lines k, l, m, and n, which is not parallel to the other three?
mc022-1.jpg
A)
k
B)
n
C)
l
D)
m
 

 23. 

Bill 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
mc023-1.jpg
A)
102°
B)
78°
C)
129°
D)
51°
 

 24. 

A line segment has an endpoint at (–4, 1).  If the midpoint of the line segment is (0, –1), what are the coordinates of the point at the other end of the line segment?
A)
(4, 2)
B)
(–2, 0)
C)
(–8, 3)
D)
(4, –3)
 

 25. 

What is the apparent slope of
a line perpendicular to mc025-1.jpg?mc025-2.jpg
A)
mc025-7.jpg
B)
mc025-8.jpg
C)
mc025-9.jpg
D)
mc025-10.jpg
 



 
         Start Over