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Geometry
Unit 3 Review Assignment
Revised Summer 08
www.salliemaeShow all work on a separate sheet of work paper. Remember to follow the criteria for
credit.
Competency 1: Lines and Angles Terminology
Competency 2: Angles Associated with
Transversals
For questions 1 and 2, refer to the following
diagram.
G
F
For questions 6 and 7, use the following diagram.
State the measure of the angle and justify your
answer.
s
t
A
D
H
B
E
70°
a
C
1.
Name two lines that are parallel to
2.
Name two lines that are skew to
.
7
8
b
.
For questions 3 – 5, classify each pair of angles
as either alternate interior angles, consecutive
(same side) interior angles, alternate exterior
angles, corresponding angles, or vertical angles.
Use the following diagram for all 3 questions.
Given: a || b and s || t
6.
Statement: m7 
Reason: Angle 7 is ____ to 70°
7.
Statement: m8 
Reason: Angle 8 is ____ to angle 7
For questions 8 - 10, use the following diagram.
If lines are parallel, state the theorem you need to
use to justify your answer.
3.
4 and 5
4.
2 and 8
5.
4 and 6
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8.
If 5 and 3 are supplementary, which
lines, if any, must be parallel?
9.
If 9  12 , which lines, if any, must
be parallel?
Geometry
10.
Unit 3 Review Assignment
If 8  9 , which lines, if any, must be
parallel?
Competency 3: Solve Problems Applying
Angle Properties
11.
Revised Summer 08
15.
Given that c || d and k  t, solve for x.
Given AB || CD, solve for x.
A
B
t
(4x + 45)°
(3x + 44)°
(8x + 42)°
c
(3x + 50)°
D
12.
C
d
k
Given MN || WY, solve for x.
Competency 4: Slope/ Equations of Lines
Z
(8x - 8)°
M
(5x + 10)°
Y
13.
N
W
16.
Find the slope of the line passing through
( 2, -1 ) and ( 5, 4 ).
17.
Find the slope of the line passing through
( -6, 6 ) and ( 3, 0 ).
18.
Given the coordinates of points A, B, C,
and D, use the slope of lines to determine
if AB and CD are parallel, perpendicular,
or neither. A ( 0, 0 ) B ( 3, 1 )
C ( 4, 3 )
D ( 2, 2 )
19.
Write an equation of a line that has a yintercept of 1 and is parallel to y = 3x - 2.
20.
Write an equation of a line that has a yintercept of 1 and is perpendicular to
y = 3x - 2.
Given that k || m, solve for x.
t
k
(4x + 14)°
(6x - 32)°
m
14.
Given that a || b, solve for x.
t
a
(30x + 25)°
b
(18x + 61)°
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Geometry
Unit 3 Review Assignment
Competency 5: Two Column Proofs
Revised Summer 08
Competency 6: Distributive Practice:
26. What is the contrapostive of “If it is Tuesday,
then Marie has soccer practice”?
Use the diagram to complete the proof.
A
B
C
D
t
E
F
H
G
a. If it is not Tuesday, then Marie
does not have soccer practice.
b. If Marie has soccer practice, then it
is Tuesday.
c. If Marie does not have soccer
practice, then it is not Tuesday.
d. Mare has soccer practice if and
only if it is Tuesday.
e. None of the above.
s
27. Two angles, 7 and 8 , are both
complementary to 9 . If m7 =61°, what is
m8 ?
a. 29°
b. 61°
c. 90°
d. 119°
e. 180°
GIVEN: s//t
m  A = 80°
PROVE: m  G = 80° (Without using the
Alternate Exterior Angle Theorem)
STATEMENT
REASON
s//t
GIVEN
m  A = 80°
21.
22. m  D
=
_____________
23.
___°
m  E = 80°
24. If lines are parallel, then
___________________________
25. Vertical Angles are
Congruent
Page 3 of 4
28. Two angles PQR and RQS form a linear
pair. If mPQR =48°, what is mRQS ?
a. 42°
b. 48°
c. 90°
d. 132°
e. 180°
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29. Let p be “there is lightning” and let q be “we
cannot go hiking.” What is the converse of p
 q?
a. If there is lightning, then we cannot go
hiking.
b. If we can go hiking, then there is no
lightning.
c. If we cannot go hiking, then there is
lightning.
d. If there is no lightning, then we can go
hiking.
e. None of the above.
Geometry
Unit 3 Review Assignment
30. Consider the two quantities that are
described below.
Column A
The number of lines
that can be drawn
passing through two
points.
Column B
The number of planes
that can be drawn
through three
noncollinear points.
Choose the statement that is true.
a. The quantity in Column A is greater.
b. The quantity in Column B is greater.
c. The two quantities are equal.
d. The relationship cannot be determined
from the given information.
Page 4 of 4
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Revised Summer 08