Ch. 3 Quiz Review
Name:
Multiple Choice
Identify the choice that best completes the statement or answers the question.
K
L
M
J
Q
P
N
R
____
1. What four segments are parallel to plane MRQL?
a. segments JK, JN, NP, and KP
c. segments NP, KP, PQ, and JN
b. segments JM, KL, NR, and PQ
d. segments JK, KL, JM, and ML
____
2. What four segments are parallel to plane JKPN?
a. segments MR, LQ, NR, and PQ
c. segments ML, RQ, JM, and NR
b. segments JM, KL, PQ, and NR
d. segments ML, LQ, RQ, and MR
____
3. What four segments are parallel to plane JNRM?
a. segments JK, ML, RQ, and NP
c. segments KL, KP, PQ, and LQ
b. segments JK, ML, LQ and RQ
d. segments KP, LQ, KL, and NP
____
4. Which angles are alternate interior angles?
a.
b.
____
c.
d. none of these
5. Which angles are corresponding angles?
a.
b.
c.
d. none of these
____
6. Which statement is true?
a.
b.
c.
d.
____
are alternate angles.
are same-side interior angles.
are alternate angles.
are same-side interior angles.
7. Which statement is true?
a.
b.
c.
d.
are same-side interior angles.
are same-side interior angles.
are alternate angles.
are alternate angles.
This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both
runways.
8.How are
and
related?
9.If 8 measures 122, what are the measures of 1 and 4?
____ 10. Which lines are parallel if
a.
b.
c.
d.
? Justify your answer.
, by the Converse of the Same-Side Interior Angles Theorem
, by the Converse of the Alternate Interior Angles Theorem
, by the Converse of the Alternate Interior Angles Theorem
, by the Converse of the Same-Side Interior Angles Theorem
g
1
j
2
k
h
____ 11. Which lines are parallel if
1 2
3 4
5 6
l
7
8
? Justify your answer.
r
s
m
a.
b.
c.
d.
, by the Converse of the Same-Side Interior Angles Theorem
, by the Converse of the Alternate Interior Angles Theorem
, by the Converse of the Alternate Interior Angles Theorem
, by the Converse of the Same-Side Interior Angles Theorem
12. Find the value of x for which p is parallel to q, if
3 4
5
p
.The diagram is not to scale.
1 2
6
q
13. Give the missing reasons in this proof of the Alternate Interior Angles Theorem.
Given:
Prove:
14. State the missing reasons in this proof.
Given:
Prove:
q
1 2
3 4
p
5 6
8
7
r
15. What is the relationship between angles 1 and 5? Angles 2 and 7?
1
2
m
3
4
5
6
n
7
8
16. Find x and assume that p is parallel to r. The diagram is not to scale.
2x - 6
p
r
34°
The diagram is not to scale.
g
>>
>
P
>
17. Find
>>
j
130°
k
h
18. Find the value of x. The diagram is not to scale.
f
6x
9 x + 30
g
19. Find the value of x. The diagram is not to scale.
2x
l
x+7
m
20. Find the value of x for which l is parallel to m. The diagram is not to scale.
133°
( 3 x - 43 )º
l
m
Use the diagram to find the following.
21. Identify a pair of alternate exterior angles.
h
a
1
2
8
3
22. Identify a pair of corresponding angles.
23. Identify a pair of alternate interior angles.
24. Identify a pair of same-side interior angles.
b
7
4
6
25. What are three pairs of corresponding angles?
5
26. Line r is parallel to line t. Find m 1 and m 4 . The diagram is not to scale.
r
7
135°
1
3
t
4
2
5
6
27. Line r is parallel to line t. Find m 3. The diagram is not to scale.
r
7
132°
1
t
3
4
2
5
6
Ch. 3 Quiz Review
Answer Section
MULTIPLE CHOICE
1. ANS:
OBJ:
STA:
TOP:
KEY:
2. ANS:
OBJ:
STA:
TOP:
KEY:
3. ANS:
OBJ:
STA:
TOP:
KEY:
4. ANS:
OBJ:
NAT:
TOP:
KEY:
5. ANS:
OBJ:
NAT:
TOP:
KEY:
6. ANS:
OBJ:
NAT:
TOP:
KEY:
7. ANS:
OBJ:
NAT:
TOP:
KEY:
8. ANS:
OBJ:
NAT:
TOP:
DOK:
9. ANS:
OBJ:
NAT:
TOP:
A
PTS: 1
DIF: L3
REF:
3-1.1 Identify relationships between figures in space
NAT:
G.1.3| G.1.4| G.1.5| P.3
3-1 Problem 1 Identifying Nonintersecting Lines and Planes
parallel | planes
DOK: DOK 2
D
PTS: 1
DIF: L3
REF:
3-1.1 Identify relationships between figures in space
NAT:
G.1.3| G.1.4| G.1.5| P.3
3-1 Problem 1 Identifying Nonintersecting Lines and Planes
parallel | planes
DOK: DOK 2
C
PTS: 1
DIF: L3
REF:
3-1.1 Identify relationships between figures in space
NAT:
G.1.3| G.1.4| G.1.5| P.3
3-1 Problem 1 Identifying Nonintersecting Lines and Planes
parallel | planes
DOK: DOK 2
B
PTS: 1
DIF: L2
REF:
3-1.2 Identify angles formed by two lines and a transversal
M.1.d| G.3.g STA: G.1.3| G.1.4| G.1.5| P.3
3-1 Problem 2 Identifying an Angle Pair
corresponding angles | transversal | parallel lines
DOK:
C
PTS: 1
DIF: L2
REF:
3-1.2 Identify angles formed by two lines and a transversal
M.1.d| G.3.g STA: G.1.3| G.1.4| G.1.5| P.3
3-1 Problem 2 Identifying an Angle Pair
corresponding angles | transversal | parallel lines
DOK:
D
PTS: 1
DIF: L3
REF:
3-1.2 Identify angles formed by two lines and a transversal
M.1.d| G.3.g STA: G.1.3| G.1.4| G.1.5| P.3
3-1 Problem 3 Classifying an Angle Pair
same-side interior angles | alternate interior angles
DOK:
A
PTS: 1
DIF: L3
REF:
3-1.2 Identify angles formed by two lines and a transversal
M.1.d| G.3.g STA: G.1.3| G.1.4| G.1.5| P.3
3-1 Problem 3 Classifying an Angle Pair
same-side interior angles | alternate interior angles
DOK:
A
PTS: 1
DIF: L2
REF:
3-1.2 Identify angles formed by two lines and a transversal
M.1.d| G.3.g STA: G.1.3| G.1.4| G.1.5| P.3
3-1 Problem 3 Classifying an Angle Pair
KEY:
DOK 1
D
PTS: 1
DIF: L3
REF:
3-2.2 Use properties of parallel lines to find angle measures
M.1.d| G.3.g STA: G.1.3| G.1.4| G.5.4| P.3| RP.3
3-2 Problem 3 Finding Measures of Angles
KEY:
3-1 Lines and Angles
M.1.d| G.3.g
3-1 Lines and Angles
M.1.d| G.3.g
3-1 Lines and Angles
M.1.d| G.3.g
3-1 Lines and Angles
DOK 1
3-1 Lines and Angles
DOK 1
3-1 Lines and Angles
DOK 1
3-1 Lines and Angles
DOK 1
3-1 Lines and Angles
parallel lines | transversal | angle
3-2 Properties of Parallel Lines
parallel lines | transversal
DOK:
10. ANS:
OBJ:
STA:
KEY:
11. ANS:
OBJ:
STA:
KEY:
12. ANS:
OBJ:
STA:
KEY:
DOK 2
A
PTS: 1
DIF: L2
REF: 3-3 Proving Lines Parallel
3-3.1 Determine whether two lines are parallel
NAT: G.3.b| G.3.g
G.1.4| G.5.4| P.3| RP.3
TOP: 3-3 Problem 1 Identifying Parallel Lines
parallel lines | reasoning
DOK: DOK 2
B
PTS: 1
DIF: L2
REF: 3-3 Proving Lines Parallel
3-3.1 Determine whether two lines are parallel
NAT: G.3.b| G.3.g
G.1.4| G.5.4| P.3| RP.3
TOP: 3-3 Problem 1 Identifying Parallel Lines
parallel lines | reasoning
DOK: DOK 2
C
PTS: 1
DIF: L4
REF: 3-3 Proving Lines Parallel
3-3.1 Determine whether two lines are parallel
NAT: G.3.b| G.3.g
G.1.4| G.5.4| P.3| RP.3
TOP: 3-3 Problem 4 Using Algebra
parallel lines | angle pairs
DOK: DOK 2
SHORT ANSWER
13. ANS:
a. Corresponding angles
b. Vertical angles
c. Transitive Property
PTS: 1
DIF: L3
REF: 3-2 Properties of Parallel Lines
OBJ: 3-2.1 Prove theorems about parallel lines
NAT: M.1.d| G.3.g
STA: G.1.3| G.1.4| G.5.4| P.3| RP.3
TOP: 3-2 Problem 2 Proving an Angle Relationship
KEY: alternate interior angles | Alternate Interior Angles Theorem | proof | reasoning | two-column proof |
multi-part question DOK: DOK 2
14. ANS:
a. Vertical angles.
b. Transitive Property.
c. Alternate Interior Angles Converse.
PTS: 1
DIF: L3
REF: 3-3 Proving Lines Parallel
OBJ: 3-3.1 Determine whether two lines are parallel
NAT: G.3.b| G.3.g
STA: G.1.4| G.5.4| P.3| RP.3
TOP: 3-3 Problem 2 Writing a Flow Proof of Theorem 3-6
KEY: two-column proof | proof | reasoning | corresponding angles | multi-part question
DOK: DOK 2
15. ANS:
alternate interior angles
PTS:
OBJ:
NAT:
TOP:
DOK:
16. ANS:
34º
1
DIF: L3
REF: 3-1 Lines and Angles
3-1.2 Identify angles formed by two lines and a transversal
M.1.d| G.3.g STA: G.1.3| G.1.4| G.1.5| P.3
3-1 Problem 3 Classifying an Angle Pair
KEY: angle pair | transversal
DOK 1
PTS: 1
DIF: L3
REF: 3-2 Properties of Parallel Lines
OBJ: 3-2.2 Use properties of parallel lines to find angle measures
NAT: M.1.d| G.3.g STA: G.1.3| G.1.4| G.5.4| P.3| RP.3
TOP: 3-2 Problem 3 Finding Measures of Angles
DOK: DOK 2
17. ANS:
50º
KEY: angle | parallel lines | transversal
PTS:
OBJ:
NAT:
TOP:
DOK:
18. ANS:
11
1
DIF: L3
REF: 3-2 Properties of Parallel Lines
3-2.2 Use properties of parallel lines to find angle measures
M.1.d| G.3.g STA: G.1.3| G.1.4| G.5.4| P.3| RP.3
3-2 Problem 3 Finding Measures of Angles
KEY: angle | parallel lines | transversal
DOK 2
PTS:
OBJ:
NAT:
TOP:
KEY:
19. ANS:
20
1
DIF: L4
REF: 3-2 Properties of Parallel Lines
3-2.2 Use properties of parallel lines to find angle measures
M.1.d| G.3.g STA: G.1.3| G.1.4| G.5.4| P.3| RP.3
3-2 Problem 4 Using Algebra to Find an Angle Measure
corresponding angles | parallel lines | angle pairs
DOK: DOK 2
PTS:
OBJ:
NAT:
TOP:
KEY:
20. ANS:
41
1
DIF: L3
REF: 3-2 Properties of Parallel Lines
3-2.2 Use properties of parallel lines to find angle measures
M.1.d| G.3.g STA: G.1.3| G.1.4| G.5.4| P.3| RP.3
3-2 Problem 4 Using Algebra to Find an Angle Measure
corresponding angles | parallel lines | angle pairs
DOK: DOK 2
PTS:
OBJ:
STA:
KEY:
21. ANS:
1
DIF: L3
REF: 3-3 Proving Lines Parallel
3-3.1 Determine whether two lines are parallel
NAT: G.3.b| G.3.g
G.1.4| G.5.4| P.3| RP.3
TOP: 3-3 Problem 4 Using Algebra
parallel lines | transversal
DOK: DOK 2
PTS:
OBJ:
NAT:
TOP:
DOK:
22. ANS:
1
DIF: L3
REF: 3-1 Lines and Angles
3-1.2 Identify angles formed by two lines and a transversal
M.1.d| G.3.g STA: G.1.3| G.1.4| G.1.5| P.3
3-1 Problem 2 Identifying an Angle Pair
KEY: transversal | angle pair
DOK 1
PTS:
OBJ:
NAT:
TOP:
DOK:
23. ANS:
1
DIF: L3
REF: 3-1 Lines and Angles
3-1.2 Identify angles formed by two lines and a transversal
M.1.d| G.3.g STA: G.1.3| G.1.4| G.1.5| P.3
3-1 Problem 2 Identifying an Angle Pair
KEY: transversal | angle pair
DOK 1
PTS:
OBJ:
NAT:
TOP:
DOK:
24. ANS:
1
DIF: L3
REF: 3-1 Lines and Angles
3-1.2 Identify angles formed by two lines and a transversal
M.1.d| G.3.g STA: G.1.3| G.1.4| G.1.5| P.3
3-1 Problem 2 Identifying an Angle Pair
KEY: transversal | angle pair
DOK 1
PTS: 1
DIF: L3
REF: 3-1 Lines and Angles
OBJ: 3-1.2 Identify angles formed by two lines and a transversal
NAT: M.1.d| G.3.g STA: G.1.3| G.1.4| G.1.5| P.3
TOP: 3-1 Problem 2 Identifying an Angle Pair
KEY: transversal | angle pair
DOK: DOK 1
25. ANS:
angles 1 & 7, 8 & 6, and 2 & 4
PTS:
OBJ:
NAT:
TOP:
DOK:
26. ANS:
135
1
DIF: L3
REF: 3-1 Lines and Angles
3-1.2 Identify angles formed by two lines and a transversal
M.1.d| G.3.g STA: G.1.3| G.1.4| G.1.5| P.3
3-1 Problem 2 Identifying an Angle Pair
KEY: angle pair | transversal
DOK 1
PTS:
OBJ:
NAT:
TOP:
KEY:
27. ANS:
48
1
DIF: L3
REF: 3-2 Properties of Parallel Lines
3-2.2 Use properties of parallel lines to find angle measures
M.1.d| G.3.g STA: G.1.3| G.1.4| G.5.4| P.3| RP.3
3-2 Problem 1 Identifying Congruent Angles
parallel lines | alternate interior angles
DOK: DOK 2
PTS:
OBJ:
NAT:
TOP:
KEY:
1
DIF: L3
REF: 3-2 Properties of Parallel Lines
3-2.2 Use properties of parallel lines to find angle measures
M.1.d| G.3.g STA: G.1.3| G.1.4| G.5.4| P.3| RP.3
3-2 Problem 1 Identifying Congruent Angles
parallel lines | alternate interior angles
DOK: DOK 2