Parallel  and  Perpendicular lines                           UP

  Two lines l and m are perpendicular if they intersect to form right angle.

        Line-Angle Relationship


If we are given two coplanar lines ( they lie in the same plane ) and the third
line which intersects both ( called
transversal ), we can find:
a)  4 pairs of
corresponding angles: 1 and 5; 2 and 6; 4 and 8; 3 and 7
b)  2 pairs of
alternate-interior angles ( AIP ):4 and 6; 3 and 5
c)  2 pairs of
alternate-exterior angles ( AEP ): 1 and 7; 2 and 8
d)  2 pairs of
same side interior angles ( SSIP ): 4 and 5; 3 and 6

If two lines are
parallel ( line a II b ), then:
a) 
corresponding angles are equal in measure
b) 
alternate-interior angles are equal
c) 
alternate-exterior angles are equal
d) 
same side interior angles are supplementary
Examples: 
1= 5 as corresponding angles;  4= 6 as AIP;  2= 8 as AEP;  3 + 6 = 180º as SSIP

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