Geometry Practice Test – Unit 3
Parallel and Perpendicular Lines
☺Name: ___________________☺
Date: ___________ Pd: ____
Definitions (1-2)
1)
Skew lines
2)
Slope
3)
Fill in the blanks.
4)
Name three ways to show lines are parallel.
Perpendicular lines have _______________
______________ slopes.
Use the diagram at right for Questions 5 – 9.
5) Two pairs of corresponding angles.
6) Two pairs of alternate interior angles.
1
2
3 4
7) Identify the special angle pair name for ∠3 and ∠5 .
5
7
6
8
8) Identify the special angle pair name for ∠1 and ∠8 .
9) Identify the special angle pair name for ∠6 and ∠7 .
Unit 3: Practice Test
Parallel and Perpendicular Lines (Revised 2010)
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10)
Find the value of x if l║m.
x°
110°
m
l
11)
Find the value of x if l║m.
l
(4x - 8)°
(3x + 1)°
m
12)
Find the value of x if l║m.
l
m
2x°
50°
13)
What value of x guarantees that j and
k
will be parallel?
k
j
Unit 3: Practice Test
Parallel and Perpendicular Lines (Revised 2010)
(4x + 10)°
(x + 20)°
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14)
If AB ⊥ CD find the value of x.
C
3x°
A
(x + 10)°
D
B
15)
Find the slope of the line that passes through (5, 7) and (2, –9).
16)
Find an equation of a line that passes through (2, 3) and has slope 5.
17)
Find an equation of a line that passes through (1, –2) and is parallel to y = 2x +3.
18)
Find an equation of a line that passes through (5, 3) and is perpendicular to
3
=
y
x +4.
5
Unit 3: Practice Test
Parallel and Perpendicular Lines (Revised 2010)
Page 3 of 7
G
Use the figure at right for questions 19 and 20.

  
Given: AG BJ , DH bisects ∠BDC , DC bisects
F
1
∠HDJ
Prove: ∠1 ≅ ∠4
19)
4
Statements
1)
B
C
H
Reasons
∠2 ≅ ∠3
2)
3)
3) Def. of Angle Bisector
4)
4) Transitive Prop. of Cong.
6)
3
1) Given
 
5) AG BJ
20)
D 2
E
A
2)
J
5)
∠1 ≅ ∠2
6)


Given: DH bisects ∠BDC , DC bisects ∠HDJ , ∠1 ≅ ∠4
 
Prove: AG BJ
(All rows may not be used.)
Statements
Reasons
1)
1)
2)
2)
3)
3)
4)
4)
5)
5)
6)
6)
7)
7)
Unit 3: Practice Test
Parallel and Perpendicular Lines (Revised 2010)
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Semester Exam Review
21. In the figure below line m is a transversal.
1
2
m
Which best describes the pair of angles ∠1 and ∠ 2 ?
A. alternate exterior
B. alternate interior
C. corresponding
D. vertical
22. In the figure below, n  m and l is a transversal.
m
63°
n
( 3 x − 15 ) °
l
What is the value of x?
A. 14
B. 16
C. 26
D. 44
Unit 3: Practice Test
Parallel and Perpendicular Lines (Revised 2010)
Page 5 of 7
23. In the figure below, n  m and l is a transversal.
114°
n
x°
m
l
What is the value of x?
A. 24
B. 66
C. 86
D. 114
24. In the figure below, m∠FGH =°
85 .
H
85°
F
l
m
G
( x − 5) °
What value of x would make line l parallel to line m?
A. 85
B. 90
C. 95
D. 100
Unit 3: Practice Test
Parallel and Perpendicular Lines (Revised 2010)
Page 6 of 7
25. In the figure below, lines l and m are parallel.
5
1
6
2
l
3
4
7
8
m
Which statement is true?
A. ∠2 and ∠3 are supplementary
B. ∠1 and ∠3 are supplementary
C. ∠1 and ∠4 are congruent
D. ∠4 and ∠3 are congruent
SAT Review
26. In the figure below, .l || m . Which of the following must equal 180o?
a°
b°
l
c°
d°
e°
f°
m
A. ao+bo+co
B. bo+co+do
C. co+do+eo
D. do+eo+fo
Unit 3: Practice Test
Parallel and Perpendicular Lines (Revised 2010)
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proof packet - Mary Star of the Sea High School

Assignment