- published: 03 Feb 2014
- views: 19977
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.
Examples of line segments include the sides of a triangle or square. More generally, when both of the segment's end points are vertices of a polygon or polyhedron, the line segment is either an edge (of that polygon or polyhedron) if they are adjacent vertices, or otherwise a diagonal. When the end points both lie on a curve such as a circle, a line segment is called a chord (of that curve).
If V is a vector space over or , and L is a subset of V, then L is a line segment if L can be parameterized as
for some vectors , in which case the vectors u and u + v are called the end points of L.
Sometimes one needs to distinguish between "open" and "closed" line segments. Then one defines a closed line segment as above, and an open line segment as a subset L that can be parametrized as
Khan Academy is a non-profit educational organization created in 2006 by educator Salman Khan with the aim of providing a free, world-class education for anyone, anywhere. The organization produces short lectures in the form of YouTube videos. In addition to micro lectures, the organization's website features practice exercises and tools for educators. All resources are available for free to anyone around the world. The main language of the website is English, but the content is also available in other languages.
The founder of the organization, Salman Khan, was born in New Orleans, Louisiana, United States to immigrant parents from Bangladesh and India. After earning three degrees from the Massachusetts Institute of Technology (a BS in mathematics, a BS in electrical engineering and computer science, and an MEng in electrical engineering and computer science), he pursued an MBA from Harvard Business School.
In late 2004, Khan began tutoring his cousin Nadia who needed help with math using Yahoo!'s Doodle notepad.When other relatives and friends sought similar help, he decided that it would be more practical to distribute the tutorials on YouTube. The videos' popularity and the testimonials of appreciative students prompted Khan to quit his job in finance as a hedge fund analyst at Connective Capital Management in 2009, and focus on the tutorials (then released under the moniker "Khan Academy") full-time.
A short explanation of line segments, lines, and rays, their labels, and the differences between them.
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Midpoint of a line segment
Let's get familiar with the difference between lines, line segments, and rays. Hint: a ray is somewhere between a line and a line segment! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/intro_euclid/e/recognizing_rays_lines_and_line_segments?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/drawing-lines-exercise-example?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/language-and-notation-of-basic-geometry?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these t...
Finding difficulty in understanding Point,Line and Line segment? Learn the chapter with Professor Total. To continue watching,log on www.topperlearning.com Now !!
For a complete lesson on line segments, go to http://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn the definitions of a point, a line, a segment, and a ray. Students are then asked to name a given figure as a line, segment, or ray, and use the appropriate symbol. Finally, students are asked to draw lines, segments, and rays.
Let's put our new knowledge of line segments to use in this example problem. We'll help you! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/intro_euclid/e/drawing-lines?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/specifying-planes-in-three-dimensions?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/lines-line-segments-and-rays?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shap...
A short explanation of line segments, lines, and rays, their labels, and the differences between them.
To see all the videos we have covered in Geometry, please visit https://DontMemorise.com . Don’t Memorise brings learning to life through its captivating FREE educational videos. New videos every week. To stay updated, subscribe to our YouTube channel : http://bit.ly/DontMemoriseYouTube Register on our website to gain access to all videos and quizzes: http://bit.ly/DontMemoriseRegister Subscribe to our Newsletter: http://bit.ly/DontMemoriseNewsLetter Join us on Facebook: http://bit.ly/DontMemoriseFacebook Follow us : http://bit.ly/DontMemoriseBlog
Midpoint of a line segment
Let's get familiar with the difference between lines, line segments, and rays. Hint: a ray is somewhere between a line and a line segment! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/intro_euclid/e/recognizing_rays_lines_and_line_segments?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/drawing-lines-exercise-example?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/language-and-notation-of-basic-geometry?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these t...
Finding difficulty in understanding Point,Line and Line segment? Learn the chapter with Professor Total. To continue watching,log on www.topperlearning.com Now !!
For a complete lesson on line segments, go to http://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn the definitions of a point, a line, a segment, and a ray. Students are then asked to name a given figure as a line, segment, or ray, and use the appropriate symbol. Finally, students are asked to draw lines, segments, and rays.
Let's put our new knowledge of line segments to use in this example problem. We'll help you! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/intro_euclid/e/drawing-lines?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/specifying-planes-in-three-dimensions?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/lines-line-segments-and-rays?utm_source=YT&utm;_medium=Desc&utm;_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shap...
Partitioning a line segment
Coordinate Geometry - Division of line segments
Adobe Illustrator CC Tutorial | Line Segment Tools – Rectangular Grid Tool
The pdf worksheet link: https://drive.google.com/file/d/0B8BqDYOgt0mmTVgtS2o0MUVBODA/edit?usp=sharing constructions Copying a line segment Copying an angle Bisecting a line segment Perpendicular bisector to a line segment,Bisecting an angle,Draw a erpendicular to a line segment from any point on the line segment