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Transversals and angles of intersecting lines

Formula for alternate-interior, same side interior, exterior and corresponding


When a transversal intersects two lines a series of often-studied angles are formed. If the latter two lines are parallel, then several congruent and supplementary angles are formed.
A transversal is a line that intersects two coplanar lines at two distinct points. (In other words, it's a line that crosses two other lines)
A transversal creates several distinct types of angles. The red line on the left is a transversal that intersects line a and line b.


Interactive Transversal and Angles



Click and Drag Points E and F to explore the relationship of corresponding, alternate interior and alternate extior angles that are formed by a transversal and parallel lines. (Full Size Version)
Corresponding Angles (in greater Depth)
Corresponding angles are the angle pairs that are in the same position.
The corresponding angle pairs are color coded on the left.
    Pairs of corresponding angles:
  • 1 and 5
  • 3 and 7
  • 4 and 8
  • 2 and 6


Alternate Exterior Angles (in greater Depth)
Alternate Exterior angles are the angle pairs that are on the outsides of the two lines (the exterior) and on opposite (or alternate sides) of the transversal.
The Alternate Exterior Angle pairs are illustrated on the left.
    Pairs of Alternate Exterior angles:
  • 1 and 8
  • 2 and 7

Alternate Interior Angles (in greater Depth)
Alternate Interior angles are the angle pairs that are on the insides of the two lines (the interior) and on opposite (or alternate sides) of the transversal.
The Alternate Interior Angle pairs are pictured on the left.
    Pairs of Alternate Interior Angles:
  • 3 and 6
  • 4 and 5
Same Side Interior (in greater Depth)

Same Side Interior angles are the angle pairs that are on the insides of the two lines (the interior) and on the same side of the transversal.
The Same Side Interior Angle pairs are pictured on the left.
    Pairs of Same Side Interior Angles:
  • 3 and 5
  • 4 and 6

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