3. Transversal lines

Transversal lines

Transversal: A line that intersects two or more lines at distinct points is called a transversal.

Transversal
A line that intersects two or more lines at different points is called a transversal.

Transversal of Parallel Lines
The lines on a plane that do not meet anywhere are called parallel lines.
Transversal of parallel lines give rise to quite interesting results.

Angles made by the transversal: There are different angles formed when the transversal cuts the lines. They are:

• Interior angles
• Exterior angles
• Pairs of Alternate interior angles
• Pairs of Alternate exterior angles
• Pairs of Corresponding angles
• Pairs of interior angles on the same side of the transversal

Transversal of Parallel Lines: We know that the parallel lines are the lines that do not meet anywhere. Transversals of parallel lines give rise to quite interesting results.

Checking for Parallel Lines
If a transversal cuts two lines, such that, each pair of corresponding angles are equal in measure.
Similarly, if a transversal cuts two lines, then each pair of the alternate interior angles are equal.
Also, if the transversal cuts the lines, then each pair of interior angles on the same side of the transversal are supplementary.