Undefined terms - the most basic form of mathematics that deserves no further information/explanation.
Point - represents an exact location.
1. Discrete Geo - point is a dot
2. Synthetic Geo - represents an exact location
3. Analyctic Geo - point represents an ordered pair
4. Graph theory - a point represents a vertex or hole.
Axiom, Postulates and Theorems
- axiom or a postulate is a premise so evident as to be accepted as true without any proof.
- theorems a position to be approved a logical development of other positions.
There are three words in geometry that are not formally defined.
*point *line *plane
Points, Rays and Lines
1. Collinear Points - points that lie on the same line
2. Copllanar Points - points that lie on the same plane
3. Opposite Rays - 2 rays that lie on the same line with a common endpoint and no other points in common
*Opposite Rays forms a straight line or angle (180deg.)
4. Parallel lines - two coplanar lines that do not intersect
5. Skew lines - two or more non coplanar lines that do not intersect
Point - represents an exact location.
1. Discrete Geo - point is a dot
2. Synthetic Geo - represents an exact location
3. Analyctic Geo - point represents an ordered pair
4. Graph theory - a point represents a vertex or hole.
Axiom, Postulates and Theorems
- axiom or a postulate is a premise so evident as to be accepted as true without any proof.
- theorems a position to be approved a logical development of other positions.
There are three words in geometry that are not formally defined.
*point *line *plane
Points, Rays and Lines
1. Collinear Points - points that lie on the same line
2. Copllanar Points - points that lie on the same plane
3. Opposite Rays - 2 rays that lie on the same line with a common endpoint and no other points in common
*Opposite Rays forms a straight line or angle (180deg.)
4. Parallel lines - two coplanar lines that do not intersect
5. Skew lines - two or more non coplanar lines that do not intersect
A line is a straight set of points which extend in opposite directions without ending.
A ray us a part of the line that helds one endpoint and extends in one direction without ending.
A line segment is a pair of two or part of a line that lies between two endpoints
Circle
- equidistant on a given center.
- Area formula for a circle = piR^
- Circumference formula for a circle = 2piR or Pid
- A circle can have tangents or secants
Geometrical Concepts
A - Angles are formed by 2 rays intersecting and meeting at one point (common endpoint), can form different kinds
B - Angles are measured by degrees
(device using protractor)
C - right, acute and obtuse angle
- by pairs, supplementary and complementary angles, linear pairs and neutral angles.
D. Equation
<min = 6m
M as minute
A - Angles are formed by 2 rays intersecting and meeting at one point (common endpoint), can form different kinds
B - Angles are measured by degrees
(device using protractor)
C - right, acute and obtuse angle
- by pairs, supplementary and complementary angles, linear pairs and neutral angles.
D. Equation
<min = 6m
M as minute
In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity
In geometry, parallel lines are lines in a plane which do not meet. The assumed existence and properties of parallel linesare the basis of Euclid's parallel postulate. Two lines in a plane that do not intersect or touch at any point are said to be parallel. By extension, a line and a plane, or two planes, in three-dimensional Euclidean space that do not share a point are said to be parallel.
The point which two or more lines cross each other or a set of points that two or more geometrical figures have in common.