Download Geometry B 3-1 Parallel Lines and Naming Angles

cgrb-0303.qxd
11/12/01
8:58 AM
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LESSON
Name:_________________
Geometry B
3-1 Parallel Lines and Naming Angles
Match the key word with its definition.
1. transversal
A. two angles that lie between the two lines on the same
2. corresponding angles
3. same-side interior angles
4. alternate exterior angles
5. alternate interior angles
B.
C.
D.
E.
side of the transversal
two angles that occupy corresponding positions
two angles that lie between the two lines on the
opposite sides of the transversal
a line that intersects two or more coplanar lines at
different points
two angles that lie outside the two lines on the opposite
sides of the transversal
Describe the relationship between a1 and a2.
6.
7.
t
t
1
1
2
2
8.
9.
t
1
t
1
2
2
Use the diagram shown at the right to name a pair of angles
that fits the description. There is more than one correct answer.
10. corresponding
11. alternate interior
12. alternate exterior
13. same-side interior
t
1 2
3 4
5 6
7 8
Use the diagram at the right to complete the statement using
corresponding, alternate interior, alternate exterior, or
same-side interior.
t
1 8
2 7
14. a6 and a8 are ____
? angles. 15. a1 and a5 are ____
? angles.
3 6
4 5
16. a2 and a6 are ____
? angles. 17. a4 and a8 are ____
? angles.
18. a6 and a7 are ____
? angles. 19. a1 and a3 are ____
? angles.
A picnic table is shown in the sketch at the right. Describe the
relationship between the angles.
20. a3 and a7
21. a2 and a7
22. a4 and a6
23. a3 and a6
1
2
3
4
5
6
7
8
cgrb-0303.qxd
11/12/01
8:58 AM
Page 29
Complete the statement.
1. A ____
? is a line that intersects two or more coplanar lines at different points.
2. Two angles are ____
? if they occupy corresponding positions.
3. Two angles are ____
? if they lie between the two lines on the opposite
sides of the transversal.
4. Two angles are ____
? if they lie outside the two lines on the opposite sides
of the transversal.
5. Two angles are ____
? if they lie between the two lines on the same side of
the transversal.
Describe the relationship between the angles.
6. a1 and a4
t
1 2
3 4
7. a2 and a7
8. a1 and a3
t
1 2
3 4
t
1 2
5 6
7 8
3 4
Use the diagram shown at the right to list all pairs of angles that
fit the description.
9. corresponding
11. alternate exterior
10. alternate interior
12. same-side interior
1 2
8 7
3 4 t
6 5
Use the diagram at the right to describe the relationship between
the pairs of angles.
13. a CDH and a DEI
14. a KHI and a HIE
15. a ADC and a FEI
16. a EDH and a DHI
17. a KHI and a LIJ
18. a HDE and a BED
A
B
C
E
D
G
H
I
K
A utility pole is shown in the sketch at the right. List all
pairs of numbered angles that fit the description.
19. corresponding
20. alternate exterior
21. alternate interior
22. same-side interior
5
6
7
8
F
J
L
1
2
3
4