Math Doubts

Transversal of Parallel lines

transversal of parallel lines

A straight line that intersects either two or more parallel lines is called a transversal line of parallel lines.

A straight line often cuts two or more parallel lines geometrically in some cases. The straight line which intersects both of them at different intersecting points on a plane is called a transversal line or simply called as a transversal.

The picture represents how parallel lines cut by a transversal geometrically.


Two parallel lines cut by their transversal is a most useful geometrical concept.

parallel lines cut by a transversal

$\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$ are two parallel lines.

$\overleftrightarrow{XY}$ is another straight line but it intersects both parallel lines $\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$ at their intersecting points $P$ and $Q$ respectively.

The straight line $\overleftrightarrow{XY}$ is called a transversal line or a transversal of parallel lines $\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$. It is also called as parallel lines $\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$ cut by their transversal $\overleftrightarrow{XY}$.

Math Doubts

A best free mathematics education website for students, teachers and researchers.

Maths Topics

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Maths Problems

Learn how to solve the maths problems in different methods with understandable steps.

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved