
Define concurrent lines and intersection lines.
Answer
549.6k+ views
Hint: The meaning of concurrent is happening at the same time or point.
Complete solution:
Concurrent lines are all those lines in $2 - D$ geometry, which intersect each other exactly at one point. When two or more lines pass through a single point, they are concurrent with each other and they are called concurrent lines. The point which is common to all those lines is called point of concurrency.
In the given figure below, we can see the lines colored in red, blue and black. All the lines are meeting at the point O. This point is called the point of concurrency.
Two lines or line segments or rays which intersect each other are called intersecting lines. And the point at which they intersect is called the point of intersection.
In the given figure below, we can see the lines colored in black and red. These two lines meet at the point P. This point is called the point of intersection.
Additional information:
Here, we can observe the difference between concurrent and intersecting lines. Concurrent lines are three or more lines passing through a single point while intersecting lines are two lines passing through a single point. The single point at which these lines intersect is called point of concurrency in case of concurrent lines and point of intersection in case of intersecting lines.
Note:
Lines extend indefinitely in both the directions, unless they are parallel they will intersect somewhere. Therefore, all non-parallel lines are concurrent. Rays and line segments may, or may not be concurrent, even when not parallel.
Complete solution:
Concurrent lines are all those lines in $2 - D$ geometry, which intersect each other exactly at one point. When two or more lines pass through a single point, they are concurrent with each other and they are called concurrent lines. The point which is common to all those lines is called point of concurrency.
In the given figure below, we can see the lines colored in red, blue and black. All the lines are meeting at the point O. This point is called the point of concurrency.
Two lines or line segments or rays which intersect each other are called intersecting lines. And the point at which they intersect is called the point of intersection.
In the given figure below, we can see the lines colored in black and red. These two lines meet at the point P. This point is called the point of intersection.
Additional information:
Here, we can observe the difference between concurrent and intersecting lines. Concurrent lines are three or more lines passing through a single point while intersecting lines are two lines passing through a single point. The single point at which these lines intersect is called point of concurrency in case of concurrent lines and point of intersection in case of intersecting lines.
Note:
Lines extend indefinitely in both the directions, unless they are parallel they will intersect somewhere. Therefore, all non-parallel lines are concurrent. Rays and line segments may, or may not be concurrent, even when not parallel.
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