Fundamental Mathematics/Geometry

Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.

Points on a graph
Points distributed on a graph.
Lines on a graph
Line functions drawn on a graph.

PointsEdit

Points are considered fundamental objects in Euclidean geometry.

LinesEdit

By Euclid's axioms, a line can be drawn from 2 points. Example through 2 points A and B, we can draw the line AB.

A---------------B

Lines of interestEdit

Lines Definition Piture
Perpendicular lines Two lines intecsect at a point to form an angle 90o    
Parallell lines Two lines do not intecsect each other  
Vector Line with its direction    

AnglesEdit

Two lines intersect at a point to form an angle between 2 lines . Example Line AB intersects line AC to form an angle A between 2 lines. Angle has a symbol  . Angles are measured in degrees (o) or radians (Rad). Failed to parse (unknown function "\rad"): {\displaystyle \rad}

Example angle 90 degree is π radian

 

Geometric figuresEdit

PolygonsEdit

Polygons are shapes of <  sides and include:

Polygon Definition Types
Polygon Figure of n sides
Triangle 3 sided polygon of Isosceles triangle | Right triangle | Equilateral Triangle
Quadrilateral 4 sided polygon of Rectangle | Square | Parallelogram | Rhombus | Trapezoid

Further readingEdit