Perpendicular and Parallel Lines
Perpendicular and parallel lines are a crucial part of geometry. They have distinct features that allow you to recognize them quickly. Two lines are considered to be parallel when they are within an identical plane have identical in distance and do not cross paths with each with respect to each other. Perpendicular lines intersect lines that always cross paths at 90 degrees. Learn more about parallel lines and perpendicular lines by reading this article.
What is Parallel and Perpendicular Lines?
Two straight lines exist on the same plane and they do not cross with each other, they’re classified as Parallel lines. They always lie the same distance from each other and are also equal lines. The symbol |” is used to denote parallel lines. For instance, AB || CD signifies that lines AB runs parallel to line CD. However the moment two lines cross one another at 90 degrees and 90deg respectively, they are referred to as perpendicular lines. Perpendicular lines are indicated using the sign . For instance PQ RS indicates that line PQ is perpendicular line RS. Take a look at the figure below and the characteristics of perpendicular and parallel lines to distinguish them between them.
Related: To calculate the equation of parallel line you may try this equation of parallel line calculator.
The properties of Parallel Lines
- Parallel lines are always equal from one another.
- They will never have a common spot.
- They’re on identical planes.
The properties of Perpendicular Lines
- Perpendicular lines always cross at 90 degrees.
- All perpendicular lines may be described in the sense of interspersed lines however, the lines that intersect can’t be considered to be perpendicular as they have to cross in the right angle.
Related: Also read How to Solve Limits and Pythagorean Theorem?
Difference Between Parallel and Perpendicular
Definition of Perpendicular and Parallel
Two non-vertical lines can be said to be parallel if they’re equal until the point of infinity and have similar slopes. In the field of geometry, lines that are equally far from one another in all of their aspects and do not cross are known as parallel lines. Lines can’t always be perpendicular. When two intersecting lines create four angles at the intersection point each of which is equally and are at right angles then the lines are considered to be perpendicular to one to each other. Perpendicular lines exist once they cross with right angles.
Two lines are considered to be parallel if they are in a similar distance to each the other and never cross or cross. Because they are equally distanced from one and have similar slopes, which means that the distance between lines is equal at all points. In simple terms it is true that the slope between two lines is the same. Perpendicular lines’ slopes, in contrast are negative reciprocals to each other , meaning that the lines intersect at an angle of right angles.
As Like equation of parallel line, to find the slope of a function easily with all possible steps, one should try free online tool instead of using manual method of solving. For such purpose Calculatores provides many online tools like slope calculator, vertical angles calculator, matrix calculator and many more.