Thank you! Published by Augustus Curtis Modified over 6 years ago. Are they both intersecting lines? Draw an example of each. Use your Lines that lie in the same plane but never intersect. Lines that coexist in the same plane. May or may not intersect. Get into your Groups. Angles with the same measure. Taylor thinks these two triangles are similar. Is he right? Explain your answer. Even though it may look like it, but the two steel rods will never intersect because they are parallel.
There are many examples of parallel lines that you see everyday such as table, chair, staircase, drawer, door, and road are only a few. Parallel lines are lines that will never meet on a plane and they are always at an equal distance apart. Imagine, what would happen if the stair steps were not parallel with each other or take the legs of a chair, for that matter?
Anyone using the steps or the chair would likely fall. Two parallel lines have the same slope and they will never touch each other. However, for two lines to be parallel they must be on the same plane. Lines cannot be always parallel. In fact, lines can intersect and when they do, angles are formed at their intersection point. In geometry, perpendicular means at a right angle. In simple terms, a line that makes a right angle with another is called a perpendicular line.
For example, walls are perpendicular to the floor or when we stand upright, we stand perpendicular to the plane. Two perpendicular lines form four angles at their intersection points, all of which are equal and are at right angles.
Two non-vertical lines are said to be parallel if they are equidistant till the end of infinite lengths and has the same slope. In geometry, the lines which are equally distant from each other in all their parts and will never intersect are called parallel lines. When two intersecting lines form four angles at their intersection points, all of which are equal and at right angles, then the lines are said to be perpendicular to each other. Two lines are perpendicular when they meet at right angles.
Two lines are said to be parallel when they are equidistant from each other and will never intersect or touch. Because the lines are equally distant from each other, they have the same slope meaning the distance between the lines is same at different parts.
In simple terms, the slope of two parallel lines is equal. Slope of perpendicular lines, on the other hand, are negative reciprocals of each other meaning the lines cross each other at right angle. There are various examples of both parallel lines and perpendicular lines all around us that we see every day.
Two side of a page, rails of railways tracks, staircase railings, steps of a ladder, legs of a chair, edges of walls and ceilings, adjacent telephone poles, frames of buildings, are all examples of parallel lines in real life.
Some real life examples of perpendicular lines include electric pole, corner of two walls, standing man, stop symbol, Stonehenge, bridges, tree or any standing structure that stands at 90 degrees with respect to the surface or plane. In a nutshell, the word parallel refers to two equidistant lines that will never intersect or touch each other at any point. Because the lines are equally distant, they have the same slope and the angle between them is zero. On the other hand, when two lines intersect at a right angle, they are called perpendicular.
Nov 24, See explanation below. Explanation: When there are two parallel lines, these two lines are never able to intersect or touch. Are two perpendicular lines always, sometimes or never co-planar?
What is the difference between intersecting and perpendicular lines?
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