Return to Free Homework Math Help Home Page

Geometry

Geometry usually begins with the point, the line and the plane. Later on, space is also added.

The point is a dimensionless location in one or more dimensions. A point can also be said to have zero dimension.

When two points are separated by a distance, they can be connected by a line. The line has one dimension and can extend past either of the two points.

geometry line definition

If the line stays between the two points, is called a closed line segment. The points are now called end points.

geometry line segment definition

Otherwise, if the line extends past one point or the other but not both, then it is an open line segment. An open line segment is also called a ray. In higher math, it is also referred to as a vector.

geometry right ray definition geometry left ray definition

A plane is a geometric structure that can be defined by three points or two lines.

geometry plane with points definition geometry plane with lines definition

The plane contains all the points or lines that define it. It can also extend in all directions. A plane has two dimensions.

When two lines cross in a plane, they are intersecting lines. If they don't cross and they are in the same plane, then they are parallel.

geometry intersecting lines definition geometry intersecting lines definition

In geometry, an angle is the amount of bend between two lines or line segments that intersect in the same plane.

geometry angle definition

In order to measure an angle, a circle, which is a two-dimensional shape in a plane, is divided into 360 pieces called degrees.

geometry 360 degree circle definition

An acute angle is less than 90 degrees.

geometry acute angle definition

An obtuse angle is greater than 90.

geometry obtuse angle definition

A right angle is exactly 90.

geometry right angle definition

A right angle is also symbolized by:

geometry right angle symbol definition

Return to Free Homework Math Help Home Page