What is the relationship between lines and shapes?

Asked on by rj1895lng

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readerofbooks's profile pic

readerofbooks | College Teacher | (Level 2) Educator Emeritus

Posted on

What a great question. The best place to start is to give a definition of a line. The simplest defintion of a line, according to geometry is: a line is defined by two points. Actually a line is more complicated than that, because there can be many points in a line.

A shape is much harder to define, because they are so many different shapes. Some of these shapes are easier to define, like a circle. For instance, a circle has uniform radius from a center point. Other shapes are very irregular and very difficult to define. For example, how do you define a lightning bolt? A good definition for shape, according to gemoetry is: a shape has two or more point, a line being the simplest.

In light of these points, a line is the most basic shape, but shapes can be extremely complex. Several lines can create shapes, such as a square or a triangle. From this perspective, shapes can be seen a the amalgamation of many lines.

arrellbelle's profile pic

arrellbelle | Student, College Sophomore | (Level 1) Valedictorian

Posted on

Well, a line is a continuous dot in space. However, when you start that dot from point A to point B, rather than going in a straight line, you go in a circle shape, that's where you start to get a shape. Let's say you have four straight lines and connect them, then you'll get a square. So basically, a line is just the basic foundation for a shape!

blperry's profile pic

blperry | High School Teacher | (Level 1) eNoter

Posted on

Whenever you connect the two ends of the line, it becomes a shape. How you bend, curve, and swirl that line's ends, will define the shape it becomes.

monoman's profile pic

monoman | Student, Undergraduate | (Level 1) eNoter

Posted on

well dude!! its really amazing question!!! but there should be an amazing answer for this & if u ask me then i would say tht.....LINES are grandchilderns of SHAPES............and so in tht way SHAPES are grandfathers of LINES!!!


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