Parallel and Perpendicular lines UP
Two lines l and m are perpendicular if they intersect to form right angle.
Line-Angle Relationship
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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