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Geometry
Unit 3 Corrective 1
Revised Summer 08
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Competency 1: Lines and Angles Terminology
Competency 2: Angles Associated with
Transversals
For questions 1 and 2, refer to the following
diagram.
For questions 6 and 7, use the following
diagram. State the measure of the angle and
justify your answer.
a
b
K
G
H
J
D
C
1
2
c
E
F
126˚
B
d
A
1.
Name two lines that are skew to
2.
Name two lines that are perpendicular
to
.
Given: a || b and c || d
.
6.
For questions 3 – 5, classify each pair of angles
as alternate interior angles, consecutive (same
side) interior angles, alternate exterior angles,
corresponding angles, or vertical angles. Use
the following diagram for all 3 questions.
Statement: m1 
Reason: Angle 1 is ____ to 126°
7.
Statement: m2 
Reason: Angle 2 is ____ to angle 1.
For questions 8 - 10, use the following diagram.
If lines are parallel, state the theorem you need
to use to justify your answer.
3.
2 and 4
4.
4 and 5
5.
6 and 7
8.
Page 1 of 4
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If 6  7 , which lines, if any, must
be parallel?
Geometry
Unit 3 Corrective 1
If 6  3 , which lines, if any, must
be parallel?
9.
15.
Given that q || r and s  t, solve for x.
s
If 8 and 11 are supplementary, which
lines, if any, must be parallel?
10.
Revised Summer 08
(4x)°
q
Competency 3: Solve Problems Applying
Angle Properties
t
(6x - 40)°
11.
Given AB || CD, solve for x.
D
(4x - 40)°
r
C
Competency 4: Slope/ Equations of Lines
16.
Find the slope of the line passing through
( -5, -6 ) and ( -5, 4 ).
17.
Find the slope of the line passing through
( -2, -3 ) and ( -6, 1 ).
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 ( -1, 4 ) B (
2, 8 ) C ( -4, 1 )
D ( 0, -2 )
19.
Write an equation of a line that has a yintercept of 0 and is parallel to y = x + 4.
20.
The relationship cannot be determined
from the given information.
(2x - 20)°
A
12.
B
Given MP || NQ, solve for x.
L
M
N
(3x + 7)°
P
(7x - 5)°
Q
13.
Given that a || b, solve for x.
t
a
perpendicular to y  
(3x + 25)°
Write an equation of a line that has a yintercept of -6 and is Competency 5: Two
Column Proofs
b
(5x - 15)°
14.
Given that k || m, solve for x.
n
k
2
x  5.
3
(x + 80)°
m
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(3x - 10)°
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Geometry
Unit 3 Corrective 1
Use the diagram to complete the proof.
A
B
C
D
t
E
F
H
G
s
Revised Summer 08
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.
27. Two angles, 7 and 8 , are both
supplementary to 9 . If m7 =61°,
what is m8 ?
a. 29°
b. 61°
c. 90°
d. 119°
e. 180°
GIVEN: s//t and mA = 120°
PROVE: mH = 60°
STATEMENT
REASON
s//t
GIVEN
21.______________
GIVEN
22. m  D
23. Angle D is _____ to
angle A ( _____
Theorem)
= ___°
m  E = 120°
24. Angle E is _____ to
angle D (_____
Theorem)
m  H = 60°
25. Angle H is
______to angle E
(Definition of _____
Angles)
28. Two angles PQR and RQS form a
linear pair. If mPQR =73°, what is
mRQS ?
a. 73°
b. 107°
c. 17°
d. 90°
e. 180°
29. Let p be “there is lightning” and let q be
“we cannot go hiking.” What is ~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.
30. Consider the two quantities that are
described below.
Column A
Competency 6: Distributive Practice:
26. What is the inverse of “If it is Tuesday,
then Marie has soccer practice”?
a. If it is not Tuesday, then Marie
does not have soccer practice.
b. If Marie has soccer practice, then
it is Tuesday.
Page 3 of 4
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The sum of the
measure of two
complementary
angles.
Column B
The sum of the
measure of two
supplementary
angles.
Choose the statement that is true.
a. The quantity in Column A is
greater.
Geometry
Unit 3 Corrective 1
b. The quantity in Column B is
greater.
c. The two quantities are equal.
Page 4 of 4
© Mastery Mathematics
Revised Summer 08