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Intersection of Geometric Figures
The intersection of two geometric figures is the set of points that are common to both figures.
1. intersection of a point and a line
2. intersection of two lines
3. intersection of a plane and a line
4. intersection of two planes
Properties of Congruence
These are taken from the reflexive, symmetric and transitive properties of equality, from algebra.
Reflexive Property:
Symmetric Property:
The Basic Building Blocks of Geometry
In geometry, the terms point, line and plane are considered undefined terms since they are explained using only examples and descriptions. Yet, these terms are useful in defining other geometric terms and properties.
Space is the set of all points.
Collinear points are points that lie in the same line.
Point
Points are the simplest figures in geometry. A point has no size, although it may represent an object with size. It is shown pictorially as a dot and is usually named using a capital letter. All geometric figures consist of points.
Geometry Basics
Geometry is a branch of mathematics which, as the name suggests, combines abstract algebra, especially commutative algebra, with geometry. It can be seen as the study of solution sets of systems of polynomials. When there is more than one variable, geometric considerations enter and are important to understand the phenomenon.
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