Answer:
Determining whether two or more lines are coplanar lines will be helpful, especially when working with basic and coordinate geometry. Let’s go ahead and recall its definition.
Coplanar lines are lines that lie on the same plane.
If coplanar points are points that lie along the same plane, then the same applies for coplanar lines: they lie also share the same plane.
In this article, we’ll dive into the fundamental definition of coplanar lines, their properties and learn how we can identify them from real-world examples.
What are coplanar lines?
Lines and line segments that lie on the same plane (and consequently space) are considered coplanar lines.
The image above is a good example of a plane with three line segments coplanar to each other. $\overline{AB}$, $\overline{CD}$, and $\overline{EF}$ all lie on the same plane; that’s why they are coplanar lines.
Let’s break down the important terms as well when learning about coplanar lines:
line: a set of points that extend on both sides infinitely
coplanar: when points or lines lie on the same plane, they are considered coplanar
noncoplanar: when points or lines do not lie on the same plane, they are considered noncoplanar
What do we call lines that do not lie on the same plane? Lines that are not found on the same plane are called noncoplanar lines.
What are some real-world examples of coplanar lines?
The lines on a notebook are coplanar to each other.
Since they lie on the same page, they lie on the same plane. Fun fact: not only are these lines coplanar, but they are also parallel.
The hands-on of our watches and clocks are coplanar as well.
The second, minute, and hour hands all lie in the same circular space.
The grids found on a graphing paper.
Since both the vertical and horizontal lines of the grid lie on the same paper, they are coplanar points.
