Two or more lines that lie in the same plane and never intersect each other are known as parallel lines. They are equidistant from each other and have the same slope. Let us learn more about parallel lines in this article. Parallel lines are straight lines that never meet each other no matter how long we extend them.
Observe the following figure that shows parallel lines. Line 'a' is parallel to line 'b', and line 'p' is parallel to line 'q'. When any two parallel lines are intersected by another line called a transversal, many pairs of angles are formed.
While some angles are congruent equal , the others are supplementary. Observe the following figure to see the parallel lines labeled as L1 and L2 that are cut by a transversal. Eight separate angles have been formed by the two parallel lines and a transversal. Each angle has been labeled using an alphabet. However, apart from the characteristics given above, when any two parallel lines are cut by a transversal, they can be identified by the following properties.
The value of 'm' determines the slope or gradient and tells us how steep the line is. It should be noted that the slope of any two parallel lines is always the same. Parallel lines have different y-intercepts and have no points in common. Parallel lines are the lines that never meet each other, no matter how long we extend them. The symbol used to denote parallel lines is.
Example 1: Using the properties of parallel lines, write true or false for the following statements. False, parallel lines never intersect each other.
Example 2: Name any two pairs of angles that are formed when any two parallel lines are cut by a transversal. When any two parallel lines are cut by a transversal, many pairs of angles are formed. Two of them are Corresponding angles and Alternate interior angles. Parallel lines are those lines that are always the same distance apart and that never meet. Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
For example, the opposite sides of a rectangle represent parallel lines. When any two parallel lines are intersected by a transversal, they form many pairs of angles, like, Corresponding angles , Alternate interior angles, Alternate exterior angles, and Consecutive interior angles.
When any two parallel lines get intersected by a transversal , the following angles are formed. Parallel lines look like railway tracks that never meet and are always equidistant.
The opposite sides of a rectangle also represent parallel lines that are equidistant. If two lines are parallel, they have the same slope. Two lines are said to be parallel to each other if they never meet or cross each other in a plane.
Lines which do not have any common intersection point or cross each other are considered as parallel lines. The perpendicular distance between any two parallel lines is always constant. Image will be uploaded soon. In the above figure, line segments PQ and RS denote parallel lines as they have no common intersection point in a plane.
Parallel lines are two straight lines that are always away from each at the same distance. No matter how far you extend the two parallel lines they will never meet or intersect each other. Parallel lines help us to understand the path of the objects and sides of the various shapes.
For example, opposite sides of squares, rectangles, and parallelograms are parallel to each other. The parallel line is widely used in the construction industry. Buildings are constructed with walls parallel to each other, ceilings are parallel to floors of the building and one building is usually constructed parallel to the other building on the same block. Notebooks are huge collections of parallel lines. When you close your notebook, then you will see that lines are not only parallel on each page of the notebook but they are parallel from page to the page also.
Parallel line examples in real life are railroad tracks, the edges of sidewalks, marking on the streets, zebra crossing on the roads, the surface of pineapple and strawberry fruit, staircase and railings, etc.
When a transversal line intersects by two or more parallel lines in the same plane, the series of angles are drawn. Some specific names are given to these angles on the basis of their location in terms of their side. Names given to the pairs of angles in parallel lines are. Alternate interior angles. Alternate exterior angles. Corresponding angles. Interior angles on the same side of the transversal.
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