parallel lines
lines in the same plane that do not intersect
Parallel lines are two or more lines in a plane that never meet or intersect, no matter how far they are extended. They have the same slope and kept at the same distance apart from each other at all points. In other words, they maintain a constant distance between them.
To identify parallel lines, we can use the slope-intercept form of a line equation, which is y = mx + c, where m is the slope of the line and c is the y-intercept. If two lines have the same slope, then they are parallel. Another way to identify parallel lines is by looking at their visual appearance. When two lines are parallel, they appear to be running in the same direction and at the same distance apart from each other.
Parallel lines have several properties that are useful in geometry and mathematics. One of them is that the sum of the angles formed by a transversal line intersecting parallel lines is always equal to 180 degrees. It means that the corresponding angles, alternate interior angles, and consecutive interior angles are congruent, providing us with a method for measuring and calculating angles in geometric shapes.
In real life, parallel lines are essential for different fields like architecture, engineering, and design. Architects, engineers, and designers use them to create buildings, machines, and structures with symmetrical, parallel lines, resulting in beautiful and sturdy designs. Additionally, parallel lines are also utilized in computer graphics and game designing for creating realistic and three-dimensional images.
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