Parallel Lines And Transversals
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1
2
3Parallel Lines and Transversals
Name ___________________ Period _____
M
I. Refer to the figure at right.
1) Name two more pairs of parallel segments.
N
O
2) Name two more segments skew to NM
R
3) Name two transversals for parallel lines NO and PQ
4) Name a segment that is parallel to plane MRQ.
P
Q
II. Identify the angles that go with the following types. (give all angles for each type)
5 6
5) Corresponding angles
6) Alternate exterior angles
3
4
7
8
1 2
7) Consecutive interior angles
8) Alternate interior angles
III. Using the figure below, state the transversal that forms each pair of angles. Then identify the special
name for the angle pair.
r
9) ∠1 and ∠12
transversal = ______ special name = _________________
t
1 2
10) ∠2 and ∠10
transversal = ______ special name = _________________
5
6
3
4
7
8
m
11) ∠4 and ∠9
transversal = ______ special name = _________________
9 10
13 14
12) ∠6 and ∠3
transversal = ______ special name = _________________
k
11 12
15 16
13) ∠14 and ∠10
transversal = ______ special name = _________________
14) ∠7 and ∠13
transversal = ______ special name = _________________
IV. The three-dimensional figure shown below is called a right pentagonal prism.
15)
Identify all segments in plane JIH that appear to be skew to EB.
B
16)
Which segments seem parallel to BG?
A
17)
Which segments seem parallel to GH?
G
F
E
18)
Identify all planes that appear parallel to plane FGH.
C
19)
Name four segments skew to CD.
H
J
D
20)
Name four segments skew to DI.
I
a
In figure below
ll
b
,
m
1
78
° , and
m
2
47
° .
∠ =
∠ =
a
b
Find measure of each angle.
9
7
8
21)
3
22)
4
∠
∠
6
2
23)
5
24)
6
∠
∠
3
1
10
25)
7
26)
8
∠
∠
4
5
27)
9
28)
10
∠
∠
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