Vertical Angles are two angles that are opposite each other when two lines intersect. a b c d In...
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Vertical Angles are two angles that are opposite each other when two lines intersect. a b c d In this example, the vertical angles are: Vertical angles have the same measurement. So:
Transcript of Vertical Angles are two angles that are opposite each other when two lines intersect. a b c d In...
Vertical Angles are two angles that are opposite each other when two lines intersect.
ab
cd
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.
bc
a
By Vertical Angles: By Supplementary Angles:
30 Are angles 2 and 4 vertical angles?
12
34
A Yes
B No
31 Are angles 2 and 3 vertical angles?
12
34
A Yes
B No
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.
21
34
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.
A
B
C
D
ABC is adjacent to CBD
How do you know?·They have a common side (ray CB)·They have a common vertex (point B)
Adjacent or Not Adjacent? You Decide!
a
b ab
a
b
Adjacent Not Adjacent Not Adjacentclick to reveal click to reveal click to reveal
34 Which two angles are adjacent to each other?
A 1 and 4
B 2 and 4
1
23
456
35 Which two angles are adjacent to each other?
A 3 and 6B 5 and 4
12
34 5
6
Interactive Activity-Click Here
A
PQ
RB
A
E
F
A transversal is a line that cuts across two or more (usually parallel) lines.
Corresponding Angles are on the same side of the transversal and on the same side of the given lines.
a b
c d
e f
g h
In this diagram the corresponding angles are:
Transversal
36 Which are pairs of corresponding angles?
A 2 and 6B 3 and 7C 1 and 8 1 2
3 45 6
7 8
37 Which are pairs of corresponding angles?
A 2 and 6B 3 and 1C 1 and 8
1
23
4
56
78
38 Which are pairs of corresponding angles?
A 1 and 5B 2 and 8C 4 and 8
1 2
3 4
5 6
7 8
39 Which pair of angles are not corresponding?
1
2
3
4 5
6
7
8ABCDE
Alternate Exterior Angles are on opposite sides of the transversal and on the outside of the given lines.
a b
c d
e f
g h
In this diagram the alternate exterior angles are:
l
m
n
Which line is the transversal?
Alternate Interior Angles are on opposite sides of the transversal and on the inside of the given lines.
ab
c d
e f
g h
In this diagram the alternate interior angles are:
m
n
l
Same Side Interior Angles are on same sides of the transversal and on the inside of the given lines.
a bc d
e f
g h
In this diagram the same side interior angles are:
m
n
l
40 Are angles 2 and 7 alternate exterior angles?
1 3
5 7
2 4
6 8
m
n
lA Yes
B No
41 Are angles 3 and 6 alternate exterior angles?
1 3
5 7
2 4
6 8
m
n
l
A Yes
B No
42 Are angles 7 and 4 alternate exterior angles?
1 3
5 7
2 4
6 8
m
n
lA Yes
B No
43 Which angle corresponds to angle 5?
A 3B 4C 2D 6 1 3
5 7
2 4
6 8
m
n
l
44 Which pair of angles are same side interior?
A 3, 4B 4, 7C 2, 4D 6, 1 1 3
5 7
2 4
6 8
m
n
l
45 What type of angles are 3 and 6?
A Alternate Interior Angles B Alternate Exterior Angles C Corresponding Angles D Vertical Angles
1 3
5 7
2 4
6 8
m
n
l
E Same Side Interior
46 What type of angles are 5 and 2?
A Alternate Interior Angles B Alternate Exterior Angles C Corresponding Angles D Vertical Angles E Same Side Interior
1 3
5 7
2 4
6 8
m
n
l
47
1 3
5 7
2 4
6 8
m
n
l
What type of angles are 5 and 6?
ABCDE
Alternate Interior Angles Alternate Exterior Angles Corresponding Angles Vertical Angles Same Side Interior
48 Are angles 5 and 2 alternate interior angles?
1 3
5 7
2 4
6 8
m
n
l
A Yes
B No
49 Are angles 5 and 7 alternate interior angles?
1 3
5 7
2 4
6 8
m
n
l
A Yes
B No
50 Are angles 7 and 2 alternate interior angles?
1 3
5 7
2 4
6 8
m
n
l
A Yes
B No
51 Are angles 3 and 6 alternate interior angles?
1 3
5 7
2 4
6 8
m
n
l
A Yes
B No
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
SO:1 3
5 7
2 4
6 8
l
m
n
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.
4 5
6
2 7
1 8
l
m
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?
4 5
6
2 7
1 8
l
m
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.
1 3
5 7
2 4
8
m
n
l
55 Given the measure of one angle, find the measures of as many angles as possible.What are the measures of the remaining angles?
1 3
5 7
2 4
8
m
n
l
