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.

Example

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 $\overleftrightarrow{XY}$.

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