Download Special pairs of angles Part 2

Vertical Angles are two angles that are opposite each
other when two lines intersect.
a
b
d
c
In this example, the vertical angles are:
Vertical angles have the same measurement.
So:
Using what you know about vertical angles, find
the measure of the missing angles.
b
c
a
By Vertical Angles:
By Supplementary Angles:
30 Are angles 2 and 4 vertical angles?
A
B
Yes
No
2
1
3
4
31 Are angles 2 and 3 vertical angles?
A
Yes
B
No
2
3
1
4
32
If angle 1 is 60 degrees, what is the
measure of angle 3? You must be able to
explain why.
2
1
3
4
33 If angle 1 is 60 degrees, what is the
measure of angle 2? You must be able to
explain why.
1
2
3
4
Adjacent Angles are two angles that are next to
each other and have a common ray between them.
This means that they are on the same plane and
they share no internal points.
ABC is adjacent to CBD
A
C
B
How do you know?
·They have a common side (ray CB)
·They have a common vertex (point B)
D
Adjacent or Not Adjacent?
You Decide!
a
b
a
a
b
Adjacent
click to reveal
Not
clickAdjacent
to reveal
b
Not
Adjacent
click
to reveal
34 Which two angles are adjacent to each
other?
A
1 and 4
B
2 and 4
1
4
6
3
2
5
35 Which two angles are adjacent to each
other?
A
B
3 and 6
5 and 4
2
1
5
4
3 6
A transversal is a line that cuts across two or more
(usually parallel) lines.
A
P
E
Q
F
R
A
B
Interactive Activity-Click Here
Corresponding Angles are on the same side of the
transversal and on the same side of the given lines.
In this diagram the
corresponding
angles are:
Transvers
al
a
c
f
e
g
h
b
d
36 Which are pairs of corresponding angles?
A
B
C
2 and 6
3 and 7
1 and 8
1
3 4
6
5
7
8
2
37 Which are pairs of corresponding angles?
A
B
C
2 and 6
3 and 1
1 and 8
6
2
4
8
1
7
3
5
38 Which are pairs of corresponding angles?
A
B
C
1 and 5
2 and 8
4 and 8
5
7
1
2
3
4
6
8
39 Which pair of angles are not
corresponding?
A
B
C
D
E
5
4
1
8
2
7
6
3
Alternate Exterior Angles are on opposite sides of the
transversal and on the outside of the given lines.
l
In this diagram the
alternate exterior
angles are:
a
c
f
e
g
b
m
d
n
h
Which line is
the transversal?
Alternate Interior Angles are on opposite sides of the
transversal and on the inside of the given lines.
In this diagram the
alternate interior
angles are:
l
a
c
f
e
g
h
b
m
d
n
Same Side Interior Angles are on same sides of the
transversal and on the inside of the given lines.
l
In this diagram the
same side interior
angles are:
a
c
f
e
g
h
b
m
d
n
40
Are angles 2 and 7 alternate exterior angles?
A
Yes
l
B
No
1
5
2
6
4
8
3
m
7
n
41 Are angles 3 and 6 alternate exterior angles?
A
Yes
B
No
l
1
5
2
6
3
m
7
4
n
8
42 Are angles 7 and 4 alternate exterior angles?
A
Yes
B
No
l
1
5
2
3
m
7
4
n
6
8
43 Which angle corresponds to angle 5?
A 3
B 4
l
C 2
D 6
1
3
5
2
6
8
4
m
7
n
44 Which pair of angles are same side interior?
A
B
C
D
3, 4
4, 7
2, 4
6, 1
l
m
1
5
2
6
8
4
3
7
n
45 What type of angles are 3 and 6?
A
B
C
D
E
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Vertical Angles
Same Side Interior
l
3
1
5
2
6
8
4
m
7
n
46 What type of angles are 5 and 2?
A
B
C
D
E
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Vertical Angles
Same Side Interior
l
3
1
5
2
6
8
4
m
7
n
47 What type of angles are 5 and 6?
A
B
C
D
E
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Vertical Angles
Same Side Interior
l
3
1
5
2
6
8
4
m
7
n
48 Are angles 5 and 2 alternate interior angles?
A
Yes
B
No
l
3
1
5
2
6
8
4
m
7
n
49 Are angles 5 and 7 alternate interior angles?
A
Yes
B
No
l
3
1
5
2
6
8
4
m
7
n
50 Are angles 7 and 2 alternate interior angles?
A
Yes
B
No
l
3
1
5
2
6
8
4
m
7
n
51 Are angles 3 and 6 alternate interior angles?
A
Yes
B
No
l
3
1
5
2
6
8
4
m
7
n
Special Case!!!
If parallel lines are cut by a transversal then:
·Corresponding Angles are congruent
·Alternate Interior Angles are congruent
·Alternate Exterior Angles are congruent
n
SO:
1
5
2
6
4
8
3
m
7
l
52 Given the measure of one angle, find the
measures of as many angles as possible.
Which angles are congruent to the given
angle? Type one answer into your
responder.
l
4
5
6
2
1
m
7
8
n
53 Given the measure of one angle, find the
measures of as many angles as possible.
What are the measures of the remaining
angles?
l
4
5
6
2
1
m
7
8
n
54 Given the measure of one angle, find the
measures of as many angles as possible.
Which angles are congruent to the given
angle? Type one of the angles into the
responder.
l
3
1
5
2
8
4
m
7
n
55 Given the measure of one angle, find the
measures of as many angles as possible.
What are the measures of the remaining
angles?
l
3
1
5
2
8
m
7
4
n