Download Parallel Lines - Practice Test

Geometry/Trig I
Unit 2 Practice Test – Parallel Lines
Name:
Date:
Period:
______________________________________________________________________________
Section 1: Given: a//b, state whether the given angles must be “  ” or
supplementary. If no conclusion can be reached, write “NC.”
_________(1)
_________(2)
_________(3)
_________(4)
 9 and
 5 and
 3 and
 7 and
 10
 17
 13
 11
d
c
6 7
9 8
1 2
5 4 3
17 18
16 15
a
14
13
10
12 11
b
Section 2: Using the figure, write the letter of the choice that best completes each
d
c
statement.
(A)
(B)
(C)
(D)
a//b
c//d
a//b & c//d
No Conclusion
________(5) If
________(6) If
________(7) If
________(8) If
1 2
5 4 3
17 18
16 15
9
14
13
12
6 7
8
a
10
11
b
 4   14, then _______
 9   16, then _______
 2   7 and  7 and  15 are supplementary, then _____
 17   11, then _________
Section 3: Complete the following:
_______________ (9) m  1 = _____
_______________ (10) m  2 = _____
_______________ (11) m  3 = _____
3
2
1
Section 4: Use the diagram and the given information to find “x”
_______________(12) m  7 = 6x and m  9 = x + 12
_______________ (13) m  8 = 2.5x – 11 and m  7 = 2x + 15
_______________ (14) m  6 = 8x – 12 and m  7 = 9x
7
6
9
8
Section 5: Linear Equations and Systems
_______________ (15) Solve the system:
3x – 4y = 13
x – 5y = 8
_______________ (16) Write an equation of the line that is perpendicular to
y=
1
x – 3 and passes through (6,2)
3
Section 6: Write the converse and the contrapositive of the statement.
“If Mr. Marttila eats pizza, then he needs to go to the gym.”
(17)Converse:__________________________________________________________________
(18)Contrapositive:____________________________________________________________________
Section 7: Answer (A) Always true, (S) Sometimes true, (N) Never true
______(19) If 2 lines are cut by a transversal, then the corresponding angles
formed are equal.
______(20) If parallel lines are cut by a transversal, then the same side
interior angles are equal.
______(21) If 2 lines are parallel to a 3rd line, then they are parallel to each
other.
______(22) If 2 lines are skew, then they lie in the same plane.
______(23) If 2 lines are parallel, then they are coplanar.
Section 8: In Questions #24 - 26, OT is perpendicular to YS. Find the value of x.
________(24) m  1 = 3x and m  4 = -2x + 30
Y
________(25) m  3 = 2x + 15 and m  4 = x + 30
O
V
4
________(26) m  1 = 26x + 1 and m  VOS = 11x – 6
3
2
1
R
T
S
Section 9: Write the letter of the reason that justifies each statement.
(A) Definition of complementary
(B) Definition of supplementary
(C) Angle Addition Postulate
(D) If two lines are perpendicular, then they form congruent adjacent
angles
(E) If two lines form congruent adjacent angles, then the lines are
perpendicular
(F) Definition of angle bisector
(G) Definition of right angle
F
________(27) If BE bisects  FBD, then  7   6.
7
________(28) m  ABD + m  DBC = m  ABC
8
________(29) If m  8 = 900 , then  8 is a right angle.
A
E
6
D
5
C
B
________(30) If m  FBD + m  5 = 900 , then  FBD is complementary to  5.
________(31) If FB  AC , then  8   FBC.
Section 10: Write a two-column proof.
G
Given: KH bisects  GKJ
are a linear pair
are a linear pair
15
A
Prove:  11   15
(32)
Statements
Reasons
11 K
16
17
H
J