Math Doubts

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.

Math Doubts
Math Doubts is a free math tutor for helping students to learn mathematics online from basics to advanced scientific level for teachers to improve their teaching skill and for researchers to share their research projects. Know more
Follow us on Social Media
Math Problems

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.

Learn more