Fundamental Mathematics/Geometry

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

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[edit | edit source]

Points are considered fundamental objects in Euclidean geometry.

Lines[edit | edit source]

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.


Lines of interest[edit | edit source]

Lines Definition Piture
Perpendicular lines Two lines intecsect at a point to form an angle 90o Perpendicular-coloured.svg
Parallell lines Two lines do not intecsect each other
Vector Line with its direction Vector from A to B.svg

Angles[edit | edit source]

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 figures[edit | edit source]

Polygons[edit | edit source]

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 reading[edit | edit source]