Points, Lines and Planes

These lessons, with videos, examples and step-by-step solutions, cover High School Math based on the topics required for the Regents Exam conducted by NYSED.

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The following table gives some terms and vocabulary used in geometry. Scroll down the page for more examples, explanations and solutions.

geometric terms

Point, Line and Plane:
In Geometry, we have several fundamental concepts: point, line and plane. From these three basic terms, all other terms in Geometry can be defined.

In Geometry, we define a point as a location and no size. A line is defined as something that extends infinitely in either direction but has no width and is one dimensional while a plane extends infinitely in two dimensions.

A point is an exact location in space. They are shown as dots in a plane in 2-dimensions or dots in space in 3-dimensions. It is labeled with capital letters. It does not take up any space.

A line is a geometric figure that consists of an infinite number of points lined up straight that extends in both directions forever. A line is identified by a lower case letter or by two points that the line passes through. We can draw exactly one line through two points. All points on the same line are called collinear. Two lines are either parallel or they will intersect at a point. A line segment is part of a line with two end points.

A ray starts from one end point and extends in one direction forvever.

A plane is a flat 2-dimensional surface. It can be identified by 3 points in the plane. There are infinite number of lines in a plane. The intersection of two planes is a line. Coplanar points are all in one plane.

Points, Lines, and Planes

Point, Line, Plane
This video explains and demonstrates the fundamental concepts (undefined terms) of geometry: point, line, plane.

Geometry - Points, Lines, Planes, Space Notation - Part 1 of 2

Geometry - Points, Lines, Planes, Space Notation - Part 2 of 2

A song to help you remember Line, Ray, Line Segment, Plane, Point

In this lesson, students learn the definitions of a point, a line, a plane, and space, as well as the symbols that are used in Geometry to represent each figure.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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