Math Doubts

Transversal of Nonparallel Lines

transversal of nonparallel lines

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

In geometric system, a straight line often intersects two or more non-parallel lines in some cases. It actually cuts the straight line at distinct points on a plane. It is called a transversal and also called as transversal line.

The picture represents the formation of nonparallel lines cut by a transversal geometrically.

Example

Two nonparallel lines cut by their transversal is another most useful geometrical concept.

non-parallel lines cut by a transversal

$\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$ are two nonparallel lines. $\overleftrightarrow{XY}$ is a straight line but it cuts both non-parallel lines $\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$ at different intersecting points $P$ and $Q$ respectively.

Therefore, the straight line $\overleftrightarrow{XY}$ is called as a transversal line or simply transversal of nonparallel lines $\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$. It is also called as nonparallel lines $\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$ cut by their transversal line $\overleftrightarrow{XY}$.

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 - 2021 Math Doubts, All Rights Reserved