Geometry
A
Quiz 3.1 – 3.3
100
Name:__________________________
B
Date: _______
D
Period:___________
C
Circle your answers! Work carefully!
For questions 1 – 3, use
the picture of the cube.
E
H
1 point each question.
G
1. HD and FB are ______.
A) Corresponding
C) Parallel
F
In exercises 5 – 8, use the diagram below.
B) Skew
D) Perpendicular
a
1 2
3 4
5 6
7 8
b
c
2. Which line is skew to GF ?
A) GC
B) CB
5. Which angles are corresponding angles?
C) DA
D) AE
A) 1 and 5
B) 4 and 5
C) 2 and 6
D) A and B both true
E) A and C both true
3. Which line is perpendicular to GC ?
A) CB
B) DA
C) AE
D) BF
6. Which angles are alternate exterior angles?
A) 2 and 8
B) 2 and 7
C) 3 and 8
D) A and B both true
E) A and C both true
4. Which of the following is not true when
a b ? (Use the picture below.)
A) 1  5 and 4  8
A) 3 and 5
B) 4 and 6
C) 3 and 7
D) A and B both true
E) A and C both true
B) m2  m6
C) m1  m5  180
8. What type of angles are 4 and 5 ?
D) m4  m6  180
1 2
3 4
5 6
7 8
7. Which angles are consecutive interior
angles?
a
b
A)
B)
C)
D)
E)
Corresponding angles
Alternate exterior angles
Alternate interior angles
Consecutive exterior angles
Consecutive interior angles
t
1
In exercises 9 – 12 , use the diagram below.
t
1 2
3 4
5 6
7 8
a
b
9. Choose the reason the statement
“If the m1  85 , then m5  85 ”
is true.
A)
B)
C)
D)
E)
Alternate Interior Angles Theorem
Alternate Exterior Angles Therorem
Consecutive Interior Angles Theorem
Vertical Angles Theorem
Corresponding Angles Postulate
13. What value of x would make lines
w and v parallel?
A)
B)
C)
D)
E)
30
20
60
40
50
120
w
3x+60
v
14. Which postulate or theorem would
prove x y ? (Use picture below)
A) Consecutive Interior Angles Converse
B) Corresponding Angles Converse
C) Alternate Interior Angles Converse
D) Alternate Exterior Angles Converse
E) Cannot prove x y
t
x
10. Choose the reason the statement
“If the m3  55 , then m5  135 ”
is true.
A)
B)
C)
D)
E)
Alternate Interior Angles Theorem
Alternate Exterior Angles Theorem
Consecutive Interior Angles Theorem
Corresponding Angles Postulate
Cannot prove x y
y
15. Which postulate or theorem would
prove x y ? (Use picture below)
A) Consecutive Interior Angles Converse
B)
C)
D)
E)
Corresponding Angles Converse
Alternate Interior Angles Converse
Alternate Exterior Angles Converse
Cannot prove x y
t
x
11. Choose the reason the statement
“If the m2  110 , then m7  110 ”
is true.
A) Alternate Interior Angles Theorem
B) Alternate Exterior Angles Theorem
C) Consecutive Interior Angles Theorem
D) Vertical Angles Theorem
E) Corresponding Angles Postulate
12. If
A)
C)
E)
the m6  120 , then m3  ?
60 
B) 120 
180 
D) 90 
cannot be determined
y
16. Which postulate or theorem would
prove x y ? (Use picture below)
A)
B)
C)
D)
C)
Consecutive Interior Angles Converse
Corresponding Angles Postulate Converse
Alternate Interior Angles Converse
Alternate Exterior Angles Converse
t
Cannot prove x y
x
142
38
y
2
For each pair of congruent angles given, tell which lines you can conclude are parallel.
Then justify your answer by stating the postulate or theorem you used.
17.
18.
19.
20.
1  3
1  9
12  13
12  7
________
________
________
________
_________
_________
_________
_________
c
1
5
9
13
d
3
2
7
6
11
10
a
12
b
16
15
14
4
8
For 21-26, is it possible that lines p and q are parallel? (Circle yes or no.) If yes, justify your answer
by stating the postulate or theorem you used.
21.
22.
p
23.
q
120
110
70
p
p
q
120
q
Yes or No _____
x
Yes or No _____
Yes or No _____
p
p
x
q
24.
x
Yes or No ______
25.
q
x
Yes or No ______
165
p
25
q
26.
Yes or No _____
Choose the word(s) that best completes the statement. (Circle your answers – there may be more
than one correct answer.)
27. If the lines are cut by a transversal so that (alternate interior, alternate exterior, corresponding)
angles are congruent, then the lines are parallel
27. If two lines are cut by a transversal so that consecutive exterior angles are (congruent,
supplementary, perpendicular), then the lines are parallel.
28. If two lines are cut by a transversal so that corresponding angles are (congruent, supplementary,
perpendicular), then the lines are parallel.
3
29) Find each measure given that m4  67 .
a) m1  __________
b) m2  __________
c) m3  __________
d) m5  __________
e) m6  __________
f) m7  __________
use for #30
t
g) m8  __________
1 2
3 4
5 6
7 8
30) Find x. ____________
t
a
b
31) Find x. ____________
t
55
x
x
140
2x+4
y
y
x-8
32) Find x. ____________
33 ) Find x. ____________
t
t
x
x
2x+25
53
5x+2
y
3x+5
y
4
Complete the proofs.
34. Complete the proof.
1.
Statements
2  1
2.
1  3
3.
2  3
4.
l m
Given: 2  1
Prove: l m
Reasons
l
1
3
m
2
36. Complete the flow proof.
l m
Given: l m
2 and 3 are vertical
Prove: 1  2
1  3
a. given
2 and 3 are vertical
b. ________________
3  2
c. given
d. ______________
1
L
3
2
37. Complete the proof.
1.
2.
3.
4.
5.
6.
Statements
r s
1  2
s t
2  3
1  3
r t
1  2
m
e. _______________________________
Given: r s
s t
Prove: r t
Reasons
r
1
s
2
4
3
t
Bonus: Show your work on the back:
#1) (+2 points) Write an equation of the line that passes through the given point (-8, 6) and is
perpendicular to 4x + 7y = 13.
________________________
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