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Name_______________________ Period _____
Geometry
Chapter 3 Practice Test
TARGET 2.1
1. 2x  25  6x  2  15
TARGET 3.1
*Solve for x. Justify each step.
Identify each angle pair listed below. Be sure to
select all correct answers there may be more than
one.
2. XT  3x  22, TZ  5 x  17, XZ  77
*Solve for x. Justify each step.
a)
a)
TARGET 2.2
3. Prove the Vertical Angles Theorem
Given: 1 and 2 are vertical angles
Prove: 1  2
Statements
Reasons
4.
Which angles are corresponding angles?
A
B
C
13 and 15
6 and 8
2 and 3
5.
Which angles are consecutive interior angles?
A
B
C
2 and 13
6 and 7
6 and 11
6.
Which angles are alternate interior angles?
A
B
C
1 and 8
2 and 7
6 and 12
7.
Which angles are alternate exterior angles?
1 and 14
16 and 12
4 and 5
D
E
F
D
E
F
D
E
F
D
E
F
12 and 9
1 and 12
6 and 8
2 and 3
8 and 5
14 and 2
3 and 6
15 and 11
10 and 14
3 and 15
13 and 9
10 and 11
a.
b.
c.
d.
A
B
C
e.
f.
8.
Which angles are vertical angles?
g.
h.
i.
j.
A
B
C
1 and 6
16 and 9
4 and 5
D
E
F
3 and 16
11 and 13
10 and 16
If mll , m4  5 x  3, and m5  7 x  21 , choose
the theorem that you would use to solve for x.
9. A Corresponding theorem.
B Consecutive interior theorem.
C Alternate exterior theorem.
D Alternate interior theorem.
For questions 13 & 14, find the value of x and
justify each step.
13.
*Given:
llm
m4  8x  51
m6  5x 10
Statements
Reasons
given
llm
10. *Find the value of x
If m4  7 x and m1  110 ,choose the theorem
that you would use to for p to be parallel to q.
14.
*Given:
llm
m2  5x  7
m6  112
11. A Converse Corresponding theorem.
B Converse Consecutive interior theorem.
C Converse Alternate exterior theorem.
D Converse Alternate interior theorem.
Statements
llm
Reasons
given
12. *Find the value of x.
TARGET 3.2
Complete the following proofs. Choose the
reasons from the word bank below.
A)
B)
C)
D)
E)
F)
G)
H)
I)
J)
K)
L)
M)
N)
O)
Addition Property
Division Property
Subtraction Property
Simplify
Multiplication Property
Substitution
Transitive
Distribution
Symmetric
Reflexive
Same-Side Interior Angles Supplementary
Same-Side Exterior Angles Supplementary
Alternate Interior Angles Congruent
Alternate Exterior Angles Congruent
Corresponding Angles Congruent
TARGET 3.3
If c  b and a ll c,
b
1 2
3 4
a
5 6
7 8
c
15. Choose the correct
reason that you
would use to find m3 .
A 6& 3 are corresponding angles.
B 5& 3 are consecutive interior angles.
C 6& 3 are alternate exterior angles.
D 3& 7 are alternate interior angles.
16. What is m3?
17. *Find the distance from point B to line AD.
A(0,8) B(-2,-2) C (-6,4) D(-9,2).
20. *Write an equation of the line passing
through the point (2,3) that is perpendicular
to the line y  2 x  2 . Graph both lines and
label them appropriately.
TARGET 3.4
18. a)*Determine if Line 1: (-4,4), (-2,-2)
Line 2: (5,7), (7,1) are
parallel, perpendicular, skew or neither.
b)*Determine if Line 1: (-3,1), (6,4)
Line 2: (-2,-2), (-4,4) are
parallel, perpendicular, skew or neither.
19. *Write an equation of the line passing
through the point (-1,1) that is parallel to the
line y  2 x  3 . Graph both lines and label
them appropriately.
BONUS:
Calculate the distance from point A(6,4) to the line
y  x4.