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Intersecting lines

The straight lines which intersect each other at a point in a plane are called the intersecting lines.

intersecting lines


The intersection of two or more straight lines at a point in a plane is possible when the straight lines are not parallel lines.

Actually, the non-parallel lines cannot maintain equal distance between them at their opposite points. Therefore, the non-parallel lines always intersect in a plane at a point and they are called intersecting lines.


Observe the following two cases to understand the formation of intersecting lines clearly.

intersecting lines example

Direct Intersection

$\small \overleftrightarrow{AB}$ and $\small \overleftrightarrow{CD}$ are straight lines and they are intersected at point $\small I$ in a plane.

In this case, the straight lines $\small \overleftrightarrow{AB}$ and $\small \overleftrightarrow{CD}$ are intersected in a plane due to non-parallelism property of them.

Hence, the straight lines $\small \overleftrightarrow{AB}$ and $\small \overleftrightarrow{CD}$ are called as intersecting lines.

Extend for Intersection

extending intersecting lines

$\small \overleftrightarrow{PQ}$ and $\small \overleftrightarrow{RS}$ are straight lines and they are not parallel lines obviously but it seems they are not intersected in the plane.

However, $\small \overleftrightarrow{PQ}$ and $\small \overleftrightarrow{RS}$ are considered as intersecting lines because they surely get intersected at point $\small T$ in the same plane if ends of both lines are extended.

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