How Do You Draw a Plane in Geometry?

Plane geometry is the sub-category of geometry that deals with flat surfaces and the coordinates, lines and shapes on them. To draw a plane, use grid or graphing paper and a straight edge or measuring tool.

  1. Understand planes

    In geometry, a plane is created by any three points that are not on a single line or more than three points that all exist within two dimensions of one another. A plane is a theoretical surface that has no thickness and extends outward infinitely, so there is no way to draw an entire plane. Instead, you can draw a segment of the plane and indicate with arrows that it will continue to extend. An example of a plane is an x and y plot that you might find on graphing paper.

  2. Plot the parameters of your plane

    If you were given points, lines or line segments that make up your plane, plot them on your grid paper and see how they relate. If you draw more lines connecting the points that create a geometric shape, you have drawn a plane segment.

  3. Use arrows and angles to show the direction of your plane

    Because planes extend beyond the parameters of the paper, include arrows to show that your plane keeps going. Although all planes are flat, some are not perfectly vertical or horizontal. If you are drawing multiple planes that intersect at an angle, you can label that angle or create a slanted grid within your plane and label those angles.