Perpendicular And Parallel Lines

Parallel lines are two lines that are in the same plane but never intersect. They are equidistant lines because they are always the same distance apart. Parallel lines are represented by the symbol ||. AB || CD, for example, denotes that line AB is parallel to line CD. Perpendicular lines, on the other hand, are formed when two lines connect at a 90-degree angle. The symbol represents perpendicular lines. PQ RS, for example, denotes that line PQ is parallel to line RS. To recognise and differentiate parallel and perpendicular lines, look at the following diagram and the attributes of parallel and perpendicular lines.

Parallel Lines Have the Following Characteristics:

Have you ever taken a peek at the train tracks? Despite their appearance, the two steel rods will never cross because they are parallel. Tables, chairs, stairwells, drawers, doors, and roads are just a few instances of parallel lines that you see every day. There are millions of parallel lines all around us that we aren’t aware we’re seeing. Parallel lines are lines that never meet on a plane and always have the same distance between them. Consider what would happen if the stair steps were not parallel to each other or, for that matter, took the legs of a chair. Anyone who attempted to use the steps or the chair would almost certainly fall.

• Lines which is Parallel are always the same distance apart.
• They never meet in the same place.
• They’re both on the same level.
• Parallel lines have the same slope

Perpendicular Lines Have the Following Characteristics:

It is impossible for lines to always be parallel. In fact, lines can intersect, and at their intersection point, angles are generated. The lines that generated those angles are considered to be perpendicular when they intersect at a right angle, that is, with a measure of 90°. Perpendicular in geometry refers to a right angle. Perpendicularity is generated when two lines meet at a right angle, or 90°, and both lines are perpendicular to each other. In simple words, a perpendicular line is one that forms a right angle with another. For example, walls are perpendicular to the floor, and we stand perpendicular to the plane when we stand.

• lines which is Perpendicular, always meet at a 90-degree angle.
• All intersecting lines are perpendicular, however not all intersecting lines are perpendicular because they must intersect at right angles to be labelled perpendicular.
• The product of two given perpendicular line is -1

Difference Between Parallel and Perpendicular Lines

It simply takes a second to notice that there are lines everywhere. We generate lines wherever we go as we move, talk, and gesticulate. It’s fascinating because there are lines everywhere you look. However, we are sometimes so preoccupied with ourselves that we fail to see that they are present. They were, in fact, already present. It’s not just that line-drawing is as common as the use of hands and feet for gesturing and walking about, but it’s also a phenomenon that combines all parts of our daily actions into a single field of research. Lines are inexhaustible and tend to be straight.

In mathematics, a line is defined as an infinitely long straight path. It’s a collection of points that extends in both directions indefinitely. They are infinitely straight; they go on and on. Lines can be applied in a variety of ways. We can draw straight lines, curved lines, and wavy lines, among other things. Some lines are thin, while others are thick. Some lines are short, while others are lengthy. A line depicts a shape’s outline. Parallel lines are a form of line that is similar to each other. Two lines are considered to be parallel in geometry if they are equidistant and never intersect. Two lines are considered to be perpendicular if they intersect at a straight angle.

Let us understand the difference between Parallel and perpendicular lines, Despite the fact that parallel and perpendicular lines are the two most basic and widely used lines in geometry, they are very different. The distinction between parallel and perpendicular lines is demonstrated in the following comparison.

• Parallel lines are those that never intersect and are always the same distance apart while, Perpendicular lines are those that always intersect each other at right angles.
• Perpendicular lines are denoted by the symbol ⊥ while, The symbol || is used to represent parallel lines.
• Examples of parallel lines: Railway tracks, opposite sides of a whiteboard, while Examples of perpendicular lines: the letter L, the joining walls of a room, corner of the table.

Point To remember:

• Parallel lines are two lines that are in the same plane but never intersect.
• he lines that generated those angles are considered to be perpendicular when they intersect at a right angle, that is, with a measure of 90°
• The slope of two parallel lines is the same, and they will never touch. Two parallel lines, on the other hand, must be on the same plane.
• At their intersection positions, two perpendicular lines form four angles, all of which are equal and at right angles.