Concurrent Lines vs Intersecting Lines

Intersecting lines are formed when only two lines are meeting at a common point. The point at which both lines meet is commonly known as Intersecting Point. It is important to note that this line can also be replaced with line segments or rays.

LinesIntersecting LinesConcurrent Lines
No of Linesexactly twothree or more than three
Meeting PointIntersecting pointPoint of Concurrency
Figures

Intersecting lines

Concurrent lines

Concurrent Lines

Concurrent Lines occur when three or more lines intersect at a single point. This concept is a significant topic within the realm of straight lines.

In this article on Concurrent Lines, we will delve into the precise definition of concurrent lines, explore the conditions that lead to concurrent lines, examine the role of concurrent lines within triangles, distinguish concurrent lines from intersecting lines, and solve some practice problems to get a better understanding of the topic.


Table of Content

  • Meaning of Concurrent Lines
  • Examples of Concurrent Lines
  • Condition for three lines to be Concurrent
  • Concurrent Lines, Line Segments and Rays
  • Concurrent Lines Vs Intersecting Lines
  • Concurrent Lines in a Triangle

Similar Reads

Meaning of Concurrent Lines

Concurrent lines are a set of three or more straight lines that intersect at a common point. The point at which they intersect is called the point of concurrency. Concurrent lines are always going to be non-parallel and the number of lines passing through the point of concurrency must be equal to or greater than three. If the number of lines intersecting at a common point is only two then it is considered as an intersecting line....

Examples of Concurrent Lines

We know that any three lines with a common intersection point are called concurrent lines. These concurrent lines are also present in various geometrical shapes. Let’s see examples of such concurrent lines....

Condition for Three Lines to be Concurrent

There are two conditions for three lines to be concurrent. First is if the determinant of the coefficients of the equations of the line is zero then line is concurrent and second is solving two equations of lines and putting the value of x and y in the third equation and checking if LHS = RHS. Let’s learn these methods in detail....

Concurrent Lines, Line Segments and Rays

Line segments are lines that have a starting and an ending point. When a set of three or more line segments meet at a point is called a concurrent line segment....

Concurrent Lines vs Intersecting Lines

Intersecting lines are formed when only two lines are meeting at a common point. The point at which both lines meet is commonly known as Intersecting Point. It is important to note that this line can also be replaced with line segments or rays....

Concurrent Lines in a Triangle

A triangle is a 2D geometric shape that has three sides and angles. In a triangle, there are four most common sets of concurrent lines....

Solved Examples on Concurrent Lines

Example 1: Prove the following set of three lines are concurrent. 15x – 18y + 1 = 0, 12x + 10y -3 = 0 and 6x + 66y – 11 = 0....

Practice Problems on Concurrent Lines

Q1. Prove the following set of three lines are concurrent 3x – 5y – 11 = 0, 5x + 3y -7 = 0 and x + 2y = 0....

FAQs on Concurrent Lines

1. What are Concurrent lines?...