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* A point is a location that has no size.
* To imagine a point, look at the period at the end of this sentence.
* Imagine that period getting smaller and smaller until it disappears.
* A point describes a location, such as the location of the period, but a point has no size.
* We use dots (like periods) to represent points, but since the
dots themselves occupy space, these dots are not points—we only use dots as representations.
* Points are labeled with a capital letter.

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* Starts out at a point and continues off to infinity. We can show that by drawing an arrow at one end of the ray. Think of the sun's rays:
they start at the sun and go on indefinitely.

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Lines, rays, and angles - a free geometry lesson with exercises

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This fourth grade geometry lesson teaches the definitions for a line, ray, angle, acute angle, right angle, and obtuse angle. We also study how the size of the angle is ONLY determined by how much it has

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a straight path that is endless in both directions

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* The part of a line that connects two points.
* It has definite end points.
* Adding the word "segment" is important, because a line normally extends in both directions without end.

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A shape, formed by two lines or rays diverging from a common point (the vertex)

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flat, two-dimensional surface that extends infinitely far

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lines in a plane that do not intersect or touch each other at any point

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lines that meet or cross one another in a plane

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* The common endpoint of two or more rays or line segments
* A point where two or more line segments meet
* A corner

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Angles | Geometry (all content) | Math | Khan Academy

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In this topic, we will learn what an angle is and how to label, measure and construct them. We will also explore special types of angles.

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A precise location or place on a plane. Usually represented by a dot.

Try this Move the points P or Q around with the mouse. Point R is not draggable.

A point is an exact position or location on a plane surface. It is important to understand that a point is not a thing, but a place. We indicate the position of a point by placing a dot with a pencil. This dot may have a diameter of, say, 0.2mm, but a point has no size. No matter how far you zoomed in, it would still have no width. Since a point is a place, not a thing, it has no dimensions.

Points are usually named by using an upper-case single letter. In the figure above, the points P,Q and R are shown. In this web site, points are shown either as a black dot or with a somewhat larger orange halo. This indicates the point can be dragged with a mouse.

Dragging hints
To drag a point:

1. Move the mouse over a point with an orange halo until a + or a hand symbol appears.

2. Press and hold the mouse button.

3. With the button down, move the mouse. The point will move.

4. Release the mouse button.

Coordinate Geometry

In another branch of mathematics called coordinate geometry, points are located on the plane using their coordinates - two numbers that show where the point is positioned with respect to two number line "axes" at right angles to each other.

For more on this, see

Other point topics

(C) 2011 Copyright Math Open Reference.
All rights reserved

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A precise location or place on a plane. Usually represented by a dot. Try this Move the points P or Q around with the mouse. Point R is not draggable. A point is an exact position or location on a plane surface. It is important to understand that a point is not a thing, but a place.

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Illustrated definition of Line: In common language it is a long thin mark made by a pen, pencil, etc. In Geometry a line: ...

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Definition of a Line Segment

A line segment is a piece, or part, of a line in geometry. A line segment is represented by end points on each end of the line segment. A line in geometry is represented by a line with arrows at each end. A line segment and a line are different because a line goes on forever while a line segment has a distinct beginning and end.

You can imagine a map with blocks of houses in a neighborhood when thinking of a line segment. When walking from your house to a friend's house you will start at a point and end at a point. The distance between your house and your friend's house can be represented by a black line segment.

In geometry, you will write a line segment using the letters for each of the end points and a line over the top of the letters. For example, if your end points were A and B, then you would write your line segment AB with a line over the top.

Formula for Finding the Length of a Line Segment

When you want to find the length of a line segment, you will need to create an equation based on the information given to you in the problem. It is possible to use the measurements for two line segments to find the length of the third line segment. What is the length of line segment AC?

The equation would be:

line segment AB + line segment BC = line segment AC
5 + 3 = 8

The length of line segment AC is 8.

Line Segment on a Cartesian Plane

Line segments are also seen on graphs or the Cartesian plane. You can find the length of a line segment by counting the units that the line segment covers. Counting the units on a graph is like counting the number of blocks traveled between your house and your friend's house.

Count the number of units between the two end points. On this particular graph, the line segment has a length of 5 units.

Formula for the Pythagorean Theorem

You can find the length of a diagonal line by using the Pythagorean theorem.

When finding the length of a line segment in a right triangle you can use the Pythagorean theorem: A squared plus B squared equals C squared.

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what is a line segment in geometry? - definition

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formula & example - video & lesson transcript | study.com

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What is a Line Segment in Geometry? - Definition, Formula & Example - Video & Lesson Transcript | Study.com

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A line segment is a piece, or part, of a line in geometry. A line segment is represented by end points on each end of the line segment. A line in geometry is represented by a line with arrows at each end.

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Lines, Rays, Line Segments, Points, Angles, Union & Intersection - Geometry Basic Introduction

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Definition and examples of plane | define plane - geometry - Free Math Dictionary Online

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A flat surface that extends into infinity...complete information about plane, definition of an plane, examples of an plane, step by step solution of problems involving plane. Also answering questions like, what is an plane? w

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Illustrated definition of Parallel Lines: Lines on a plane that never meet. They are always the same distance apart. Here the red and blue line segments...

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You have probably had the experience of standing in line for a movie ticket, a bus ride, or something for which the demand was so great it was necessary to wait

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In math and geometry, a vertex -- the plural of vertex is vertices -- is a point where two straight lines or edges intersect.

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Intro to lines, line segments, and rays | Geometry | Khan Academy

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What is the difference between a line, line segment and ray

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What is a Plane? | Geometry | Don't Memorise

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What are Parallel Lines and Parallel Planes? | Don't Memorise

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What are Intersecting Lines? | Geometry | Don't Memorise

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an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.

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Right Angle Definition (Illustrated Mathematics Dictionary)

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Illustrated definition of Right Angle: An angle which is equal to 90deg, one quarter of a full revolution. Also equal to...

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three or more points that lie on the same line

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Collinear - Math word definition - Math Open Reference

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Definition of collinear points - three or more points that lie in a straight line

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Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry