Geometry basics to remember when doing homework

What is Geometry? It's a study of a branch of math that begins with fundamental elements and uses them to create new things. Geometry uses a point to establish a space, and uses a set of points to create a line, a circle or any other object that can be drawn. Shapes like triangles, pentagons and polygons are derived from geometry math, and real life buildings are created using this math. Geometry also deals with relationships between these objects, using rules like theorems and postulations. These rules are connected to other rules using a geometry proof.

Most Geometry is called Euclidean geometry, which studies objects formed by the plane (like squares, circles, etc.) There are two forms of non-Euclidean geometry, called Elliptical and Hyperbolic. Elliptical geometry studies objects on the surface of a sphere, like satellites flying around the Earth. Hyperbolic geometry studies the surface of a hyperbolic construct, like a Poincare disk.

Since the point is the main element in Euclidean geometry, it's important to know a lot about it.

A point is claimed to have “zero dimension”. Two points separated by a distance can be connected by a single line, which is called “one dimension”. This line can extend past either of the two points. If the line stays between the two points, it's called a “closed line segment”. The points on either end of the closed line segment are now referred to as “end points”. If the line extends past a point, it's an “open line segment”, or a “ray”. Higher math also refers to the open line segment as a “vector”.

A “plane” is an Euclid geometric structure that is defined by either three points or two lines. When these lines connect vertically and horizontally, the resulting structure is a square, and is said to be in “two dimensions”.

If you place one square behind the other, and connect both planes with closed lines on each and every point, the square becomes a cube. This shape is in “three dimensions” because it addition to horizontal length and vertical height, it now contains a third quality called “depth”.

Now you know and understand the basics of geometry. You can find and research the topic at your local library or online using various websites. This will allow you to have a greater and much more interesting firsthand knowledge of how the universe truly works.