Intersecting lines are those lines that meet or cross each other in a plane. On the other hand, when two or more lines do not meet at any point, they are called non-intersecting lines. Let us study more about intersecting and non-intersecting lines in this article.
| 1. | What are Intersecting Lines? |
| 2. | Properties of Intersecting Lines |
| 3. | Non-Intersecting Lines |
| 4. | Properties of Non-Intersecting Lines |
| 5. | FAQs on Intersecting and Non-Intersecting Lines |
What are Intersecting Lines?
When two or more lines meet at a common point, they are known as intersecting lines. The point at which they cross each other is known as the point of intersection. Observe the following figure which shows two intersecting lines 'a' and 'b' and the point of intersection 'O'.
Properties of Intersecting Lines
The following points list the properties of intersecting lines which help us to identify them easily.
- Intersecting lines meet at a single point, they cannot meet at more than one point.
- Intersecting lines meet each other at any angle which is greater than 0° and less than 180°.
Non-Intersecting Lines
When two or more lines do not intersect with each other, they are termed as non-intersecting lines. Observe the following figure of two non-intersecting, parallel lines 'a' and 'b' which show a perpendicular distance denoted by 'c' and 'd'.
Properties of Non-intersecting Lines
The following points list the properties of non-intersecting lines which help us to identify them easily.
- Non-intersecting lines never meet and do not share any common point. They are also known as parallel lines.
- The distance between non-intersecting lines is always the same.
- The length of any common perpendicular drawn between the two non-intersecting lines is always the same.
☛ Related Articles
- Lines and Angles
- Line Segment
- Parallel Lines Formula
- Perpendicular Lines Formula
- Difference Between Line and Line Segment
FAQs on Intersecting Lines
What is the Meaning of Intersecting Lines in Geometry?
When two or more lines cross each other in a plane, they are known as intersecting lines. The point at which they cross each other is known as the point of intersection.
What is the Difference Between Perpendicular and Intersecting Lines?
When intersecting lines cross each other, there is no defined angle at which they meet, it can be any angle. However, perpendicular lines always intersect each other at right angles (90°). In other words, all perpendicular lines are intersecting lines, but all intersecting lines may not necessarily be perpendicular lines.
What are Parallel, Perpendicular, and Intersecting Lines?
Parallel lines never intersect each other and are always the same distance apart, whereas, intersecting lines cross each other and share a common point known as the point of intersection. Perpendicular lines are those intersecting lines that cross each other at an angle of 90°.
What are Intersecting Lines that are not Perpendicular?
There are some lines that intersect each other but may not be necessarily perpendicular to each other. Such lines meet at any angle which is greater than 0° and less than 180°.
What are Intersecting Lines Examples?
A few examples of intersecting lines are listed below:
- The lines of the alphabet 'X' form intersecting lines. It is a perfect example to represent intersecting lines.
- The symbol of addition (+).
What are the Angles Formed by Intersecting Lines?
When two lines intersect each other, they form vertically opposite angles (vertical angles). Vertically opposite angles are opposite to each other and are of equal measure. Intersecting lines may cross or intersect each other at any angle greater than 0° and less than 180°. If any two intersecting lines meet each other at an angle of 90°, they are called perpendicular lines.
What are the Examples of Non-Intersecting Lines?
A few examples of non-intersecting lines are listed below:
- The opposite sides of a ruler (scale) are non-intersecting lines.
- The opposite sides of a rectangle.
What do you Mean by Point of Intersection in Intersecting Lines?
When any two lines meet at one common point, they are called intersecting lines. The common point where they intersect is known as the point of intersection.
What is the Difference Between Parallel and Intersecting Lines?
The difference between parallel lines and intersecting lines is that parallel lines never intersect each other and are always the same distance apart, whereas, intersecting lines always cross each other and have a common point known as the point of intersection.
FAQs
Lines and line segments are considered intersecting lines when they cross each other at one single point. The point where lines intersect is termed the point of intersection. Lines can intersect each other at any angle between 0 and 180 degrees, forming a shape similar to the letter"X".
What is intersecting lines with an example? ›
Solution: Two examples of intersecting lines are listed below: Crossroads: When two straight roads meet at a common point they form intersecting lines. Scissors: A pair of scissors has two arms and both the arms form intersecting lines.
What is an example of an intersection in math? ›
For any two sets A and B, the intersection, A ∩ B (read as A intersection B) lists all the elements that are present in both sets (common elements of A and B). For example, if Set A = {1,2,3,4,5} and Set B = {3,4,6,8}, A ∩ B = {3,4}. Let us earn more about the properties of the intersection of sets along with examples.
What is an example of an intersection of two lines? ›
The lines will intersect only if they are non-parallel lines. Common examples of real-life intersecting lines include a pair of scissors, a folding chair, a road cross, a signboard, etc.
What are intersecting lines 4th grade? ›
Two or more lines that meet at a point are intersecting lines. If the lines intersect at right angles, they are called perpendicular lines. Parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other.
What is an example of intersecting in a sentence? ›
The roads intersect near the bridge. This is the point where the line intersects the curve. to divide an area into smaller parts by crossing it with straight lines: The gardens are intersected by gravel paths.
What are 5 examples of parallel lines? ›
The real-life examples of parallel lines include railroad tracks, the edges of sidewalks, rails of a ladder, never-ending rail tracks, opposite sides of a ruler, opposite edges of a pen, eraser, etc.
What is an example of intersect? ›
Examples of intersect in a Sentence
A dry stream bed intersects the trail in several places. Line A intersects with line B. The two roads intersect at the edge of town.
What is the definition of intersecting in math? ›
Two or more lines which share exactly one common point are called intersecting lines. This common point exists on all these lines and is called the point of intersection. It is to be noted that: The intersecting lines meet at one, and only one point, no matter at what angle they meet.
What is an example of a 3 intersection set? ›
Intersection of Three Sets
This can be represented as A ∩ B ∩ C. This can be better understood with the help of the example given below. For example, A = {6, 8, 10, 12, 14, 16}, B = {9, 12, 15, 18, 21, 24} and C = {4, 8, 12, 16, 20, 24, 28}. The intersection of these 3 sets can be expressed as, A ∩ B ∩ C.
Two straight lines will intersect at a point if they are not parallel. The point of intersection is the meeting point of two straight lines. If two crossing straight lines have the same equations, the intersection point can be found by solving both equations at the same time.
What two intersecting lines form? ›
When two lines intersect, they create vertical angles, sometimes called opposite angles, that are congruent.
What is an example of an intersection type? ›
An intersection type combines multiple types into one. This allows you to add together existing types to get a single type that has all the features you need. For example, Person & Serializable & Loggable is a type which is all of Person and Serializable and Loggable .
What are examples of intersecting lines? ›
The following are two examples of intersecting lines:
Crossroads are formed when two straight roads intersect at a common point. Scissors: A pair of scissors has two arms that form intersecting lines.
What is an example of lines intersecting at right angles? ›
There are following examples from our surroundings where lines intersecting at right angles are: (i) Edge of the black board. (ii) Angle between top of the table with its legs. (iii) Edges of the carrum board.
What is an example of an intersecting line in a linear equation? ›
For example, the lines y=2x+4 y = 2 x + 4 y=2x+4 y=2x+4 and y=4x−5 y = 4 x − 5 y=4x-5 y=4x−5 actually intersect at the point. ( 4.5 , 13 ) . (4.5, 13).
Intersecting lines - Explanations & ExamplesThe Story of Mathematicshttps://www.storyofmathematics.com ›
The three pairs of lines shown above are examples of intersecting lines. See how each pair intersects at Point O ? We call this the point of intersection. Line ...
The following are two examples of intersecting lines:
- Crossroads are formed when two straight roads intersect at a common point.
- Scissors: A pair of scissors has two arms that form intersecting lines.
- Clock: Intersecting lines are formed by two needles passing through a common point in the clock.
Intersecting Lines : Adjacent sides of a cuboid, adjacent sides of a tennis court, adjacent side of a kite. Parallel Lines : Railway lines, opposite edges of a cuboid, opposite sides of a football field.
What are two intersecting lines called? ›
Two or more lines that meet at a point are called intersecting lines. Two lines that intersect and form right angles are called perpendicular lines. The symbol ⊥ is used to denote perpendicular lines. In Figure , line l ⊥ line m.
