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Lesson Parallel Lines and Transversals 3 Relationship
Contributed by: Pappal
There are four pairs of angles
There are four pairs of angles
when dealing with parallel lines and transversals
There are four pairs of angles
when dealing with parallel lines
when dealing with parallel lines and transversals
Alternate Interior
There are four pairs of angles
when dealing with parallel lines and transversals
Same Side Interior
Alternate Interior
There are four pairs of angles
when dealing with parallel lines and transversals
Same Side Interior
Corresponding
Alternate Interior
There are four pairs of angles
when dealing with parallel lines and transversals
Same Side Interior
Corresponding
Alternate Exterior
Alternate Interior
Check the angles having to do with parallel lines
Alternate Interior
Alternate Exterior
Complementary
Corresponding
Same Side Interior
Supplementary
Linear Pair
and transversals
Alternate Interior angles make a "z" shape
Alternate Interior angles make a "z" shape
Alternate Interior angles make a "z" shape
Alternate Interior angles make a "z" shape
Alternate Interior angles make a "z" shape
these are alternate interior
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
these are same side interior
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
Top Left
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
Top Left
Top Right
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
Bottom Left
Top Left
Top Right
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
Bottom Left
Top Left
Bottom Right
Top Right
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
Bottom Left
Top Left
Top Left
Bottom Right
Top Right
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
Bottom Left
Top Left
Top Left
Top Right
Bottom Right
Top Right
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
Bottom Left
Bottom Left
Top Left
Top Left
Top Right
Bottom Right
Top Right
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
Bottom Left
Bottom Left
Top Left
Top Left
Bottom Right
Top Right
Bottom Right
Top Right
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
Bottom Left
Bottom Left
Top Left
Top Left
these are corresponding
Bottom Right
Top Right
Bottom Right
Top Right
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
Bottom Left
Bottom Left
Top Left
Top Left
and these
Bottom Right
Top Right
Bottom Right
Top Right
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
Bottom Left
Bottom Left
Top Left
Top Left
these as well
Bottom Right
Top Right
Bottom Right
Top Right
Same Side Interior angles make a bracket shape
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
Bottom Left
Bottom Left
Top Left
Top Left
and these
Bottom Right
Top Right
Bottom Right
Top Right
Same Side Interior angles make a bracket shape
Alternate Exterior angles are outside the lines and on
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
opposite sides of the transversal
alternate exterior
these are
Same Side Interior angles make a bracket shape
Alternate Exterior angles are outside the lines and on
Alternate Interior angles make a "z" shape
Corresponding angles are in the same position
opposite sides of the transversal
and these
Corresponding
Alternate Exterior
Alternate Interior
Same Side Interior
Outside and opposite
?
Same position
?
bracket shape
?
"z" shape
?
These angles have special relationships 
These angles have special relationships 
when in parallel lines
These angles have special relationships 
Alternate Interiors angles are congruent
when in parallel lines
These angles have special relationships 
Same Side Interior angles are supplementary
Alternate Interiors angles are congruent
when in parallel lines
These angles have special relationships 
Same Side Interior angles are supplementary
Corresponding angles are congruent
Alternate Interiors angles are congruent
when in parallel lines
These angles have special relationships 
Alternate Exterior angles are congruent
Same Side Interior angles are supplementary
Corresponding angles are congruent
Alternate Interiors angles are congruent
when in parallel lines
Since these are alternate interior angles
47
x
Since these are alternate interior angles
47
x
Since these are alternate interior angles
47
x
Since these are alternate interior angles
47
x
Since these are alternate interior angles
then these angles are congruent
47
x
Since these are alternate interior angles
then these angles are congruent
47
x = 47
x =
35
x
x =
x
130
Since these angles are same side interior
x
130
Since these angles are same side interior
x
130
Since these angles are same side interior
x
130
Since these angles are same side interior
x
130
Since these angles are same side interior
then the angles add to 180
x = 50
130
x =
x
150
x =
160
x
These are corresponding angles
160
x
These are corresponding angles
so they are congruent
160
x
These are corresponding angles
so they are congruent
160
x = 160
x =
130
x
x =
30
x
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