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Geo A- Lesson - Parallel Lines and Angles
Con il contributo di: Hampton
(Autore originale: Pappal)
When given two parallel lines (//)
When given two parallel lines (//)
two lines
When given two parallel lines (//)
that are cut by a transversal
When given two lines
that are cut by a transversal
transversal
When given two lines
that are cut by a transversal
there are several angles pairs with
special names

Alternate Interior

2
1
Same Side Interior
1
2
Corresponding
1
2
Each of these  angles make a certain shape
Each of these  angles make a certain shape
Alternalte Interior angles makes a 'Z' shape
Each of these  angles make a certain shape
Alternate Interior angles makes a 'Z' shape
2
1
alternate
interior
angles
Each of these  angles make a certain shape
Alternate Interior angles makes a 'Z' shape
2
1
Each of these  angles make a certain shape
Alternate Interior angles makes a 'Z' shape
2
1
Z shape
Each of these  angles make a certain shape
Alternate Interior angles makes a 'Z' shape
So if there is something like a Z shape
Each of these  angles make a certain shape
Alternate Interior angles makes a 'Z' shape
So if there is something like a Z shape
something

Z shape

like
a
Each of these  angles make a certain shape
Alternate Interior angles makes a 'Z' shape
So if there is something like a Z shape
then the angles are alternate interior
Each of these  angles make a certain shape
Alternate Interior angles makes a 'Z' shape
So if there is something like a Z shape
then the angles are alternate interior
1
2
Each of these  angles make a certain shape
Alternate Interior angles makes a 'Z' shape
So if there is something like a Z shape
then the angles are alternate interior
1
2
alternate
interior
angles
Which set of angles are in the z shape?

∡4,∡5

∡8,∡3

∡6,∡4

∡3,∡6

1
3
2

5

4
7
6
8
Which set of angles are in the z shape?

∡3,∡6

1
3
2

5

4
7
6
8
Which set of angles are in the z shape?

∡3,∡5

∡6,∡3

∡2,∡7

∡4,∡5

1
3
2

5

4
7
6
8
Which set of angles are in the z shape?

∡4,∡5

1
3
2

5

4
7
6
8
Alternate Interior Angles are always Congruent
if the lines are Parallel (∕∕)!

∡4,∡5

1
3
2

5

4
7
6
8

Another set is same side interior

Another set is same side interior

1
2

Another set is same side interior

same side interior angles make a 'bracket' shape
1
2

Another set is same side interior

same side interior angles make a 'bracket' shape
AND they are supplementary!
1
2

Another set is same side interior

same side interior angles make a 'bracket' shape
AND they aresupplementary!
1
2
Bracket
Supplementary angles . . .
Add up to 90 degrees
Add up to 180 degrees
Are Congruent
Are across from each other
Add up to 180 degrees
Supplementary angles . . .

Another set is same side interior

same side interior angles make a 'bracket' shape
so if there is a bracket shape

Another set is same side interior

same side interior angles make a 'bracket' shape
so if there is a bracket shape

Another set is same side interior

same side interior angles make a 'bracket' shape
so if there is a bracket shape
Bracket

Another set is same side interior

same side interior angles make a 'bracket' shape
so if there is a bracket shape

these angles are same side interior

Another set is same side interior

same side interior angles make a 'bracket' shape
so if there is a bracket shape

these angles are same side interior

1
2

Another set is same side interior

same side interior angles make a 'bracket' shape
so if there is a bracket shape

these angles are same side interior

1
2
Same side interior

∡4,∡6

∡3,∡7

∡5,∡3

∡2,∡8

1
3
2
5
4
7
6
8
And these angles are Supplementary!
1

∡5,∡3

3
2
5
4
7
6
8
Supplementary angles . . .
Are across from each other
Are Congruent
Add up to 180 degrees
Add up to 90 degrees

∡3,∡5

∡4,∡7

∡6,∡3

∡4,∡6

1
3
2
5
4
7
6
8

Another set of angles is corresponding angles

Another set of angles is corresponding angles

1
2

Another set of angles is corresponding angles

Corresponding angles make an 'F' shape
1
2

Another set of angles is corresponding angles

Corresponding angles make an 'F' shape
AND Corresponding angles are congruent!
1
2

Another set of angles is corresponding angles

Corresponding angles make an 'F' shape
AND Corresponding angles are congruent!
1
2
'F' shape

Another set of angles is corresponding angles

Corresponding angles make an 'F' shape
So if there is an 'F' shape

Another set of angles is corresponding angles

Corresponding angles make an 'F' shape
So if there is an 'F' shape

Another set of angles is corresponding angles

Corresponding angles make an 'F' shape
So if there is an 'F' shape
'F' shape

Another set of angles is corresponding angles

Corresponding angles make an 'F' shape
So if there is an 'F' shape
The angles in that shape are corresponding

Another set of angles is corresponding angles

Corresponding angles make an 'F' shape
So if there is an 'F' shape
The angles in that shape are corresponding
1
2

Another set of angles is corresponding angles

Corresponding angles make an 'F' shape
So if there is an 'F' shape
The angles in that shape are corresponding
1
2
Corresponding
Angles
What angles are in the bracket?

∡1,5

∡4,∡6

∡3,∡5

∡8,∡4

1
3
2
5
4
7
6
8
What angles are in the bracket?
1

∡4,∡6

3
2
5
4
7
6
8
THEY ADD TO 180!
And angles 4 and 6 are Supplementary
1
3
2
5
4
7
6
8
What angles are in the 'F' shape?

∡3,∡7

∡5,∡7

∡1,∡3

∡1,∡7

1
3
2
5
4
7
6
8

Another set of angles is Vertical angles

Vertical angles make an 'X' shape
So if there is an 'X' shape . . .

Another set of angles is Vertical angles

Vertical angles make an 'X' shape
So if there is an 'X' shape, then they are 
        Vertical Angles!
1
2
What angle is a         Vertical Angle with∡6 (in the X)?

∡5

∡7

∡8

∡3

1
3
2
5
4
7
6
8
VERTICAL ANGLES ARE ALWAYS CONGRUENT!
What angle is a         Vertical Angle with∡6 (in the X)?

∡7

1
3
2
5
4
7
6
8
Corresponding ∡s
'F' Shape
?
Same Side Interior ∡s
Match the following:
Bracket
?
Alternate Interior ∡s

'Z' Shape

?
Same Side Interior ∡s
?
Bracket
Match the following:
Alternate Interior ∡s
?

'Z' Shape

Corresponding ∡s
?
'F' Shape
Vertical angles . . . 
Add up to 90 degrees
Add up to 180 degrees
Are Congruent
Are next to each other
Supplementary angles . . . 
Add up to 90 degrees
Add up to 180 degrees
Are Congruent
Are next to each other
Complementary angles . . . 
Add up to 90 degrees
Add up to 180 degrees
Are Congruent
Are next to each other
Alternate Interior angles . . . 
Add up to 90 degrees
Add up to 180 degrees
Are Congruent
Are next to each other
Same Side Interior angles . . . 
Add up to 90 degrees
Add up to 180 degrees
Are Congruent
Are next to each other
Corresponding angles . . . 
Add up to 90 degrees
Add up to 180 degrees
Are Congruent
Are next to each other
Two angles that make a straight line are called:
Complementary
Supplementary
Vertical Angles
Adjacent
Congratulations. You Finished this lesson.


You are much smarter now.
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