Geometry Problems, Online Education

Mastering Geometry: Unleashing Theorems, Problems, Methodologies, Definitions and Software for Effortless Mastery

Euclidean Geometry, Tutoring, Tutorial, Tutor

Euclidean geometry is a branch of mathematics that deals with the study of geometric shapes and their properties. It is named after the ancient Greek mathematician Euclid, who wrote a famous textbook called "Elements" around 300 BC that served as a foundation for the subject.

In Euclidean geometry, the basic objects of study are points, lines, and planes. These are defined in terms of their properties, and various axioms and postulates are assumed to hold true in order to derive theorems and solve problems.

School, College Geometry

School, College Geometry - Index.

HTML5 and Dynamic Geometry

HTML5 and Dynamic Geometry

Online education degree: online geometry classes

Thematic poems can benefit the study of geometry by increasing engagement and retention, enhancing critical thinking, promoting aesthetic appreciation, enabling differentiated learning, and providing cultural connections.

Word Cloud: Geometry in Different Living World Languages

Word Cloud: Geometry in Different Living World Languages

Geometry Topics Mind Map

Geometry Types, Methodologies, Terminologies
Interactive Mind Map and News.

Geometers Index

Geometry History: Geometers, Index
Interactive Mind Map and News.

Geometric, Geometrical, and Geometrically Terms, Mind Map

Geometric, Geometrical, and Geometrically Terms.
Interactive Mind Map

Geometry Definitions

Definitions.

Point, Theorems and Problems, Index

Points, Theorems and Problems - Index.

Lines, Theorems and  Problems Index

Lines. Theorems and Problems.

Angle Index

Angles. Theorems and Problems.

Angle Bisector Index

Angle Bisector. Theorems and Problems.

Acute Angle, Slideshow

Acute Angle in the Real World - Slideshow.

Obtuse Angle Index

Obtuse Angle. Theorems and Problems.

Angles 30, 60, 120 Index

Angles: 30, 60, 120 degrees.

Angle 45, 90, 135, Theorems and Problems

Angles: 45, 135 degrees.

Parallel Lines Index

Parallel lines.

Perpendicular Lines Index

Perpendicular lines.

Perpendicular Bisector Index

Perpendicular Bisector.

Concurrent lines, Index

Concurrent lines.

Transversal Line, Index

Transversal Lines.

Collinear Points Index

Collinear Points.
Theorems and Problems

Midpoint Theorems and Problems Index

Midpoints.
Theorems and Problems

Trisecting a Line Segment Theorems and Problems

Trisecting a Line Segment.
Theorems and Problems

Triangles

Triangles.

Equilateral triangles

Equilateral Triangles.

Isosceles Triangle Index

Isosceles Triangle.

Isosceles triangle 80-20-80

Isosceles Triangle 80-20-80.

Classical Pythagorean Theorem

Right Triangle.

Special right triangle 30 60

Special Right Triangles.

Special Right Triangle 30-60 Index

Special Right Triangle 30-60.

Metric Relations in a Right Triangle

Metric Relations in a Right Triangle, Theorems and Problems.

Obtuse Triangle Index

Obtuse Triangle.

Altitude of a triangle

Altitude Index.
Theorems and Problems.

Median of a triangle, Index

Median Index.
Theorems and Problems.

Semiperimeter, Perimeter Index

Semiperimeter, Perimeter Index.
Theorems and Problems.

Heron's Theorem

Heron's Formula.
Key facts and a purely geometric step-by-step proof.
 

Triangle with Double Angle

Triangle with Double Angle, Theorems and Problems, Index
 

Geometry Online - Table of Content

Points
Angles
   Angle Bisector
   Angles 30, 60, 120 degrees
   Angles 45, 135 degrees
Parallel lines
Perpendicular lines
Concurrent lines
Transversal Lines
Collinear Points
Midpoints

Triangles
   Equilateral Triangle
   Isosceles Triangle
      Isosceles Triangle 80-20-80
   Right Triangle
   Special Right Triangle
      Right Triangle 30-60
   Obtuse Triangle
   Altitude Index
     Heron's Formula
   Median Index
   Semiperimeter Index

Triangle & Squares

Quadrilaterals:
   Parallelogram
      Square
      Rectangle
      Rhombus
   Trapezoid
      Median of a Trapezoid
   Cyclic Quadrilateral
      Ptolemy's Theorems and Problems
   Tangential or Circumscribed Quadrilateral
   Equilic Quadrilateral
   Complete Quadrilateral Index

Polygons

   Triangles
   Quadrilaterals
   Pentagons
   Hexagons
   Heptagons
   Octagons
   Nonagon or Enneagon

Circle
   Circular Sector
   Arbelos
   Archimedes' Book of Lemmas
   Lunes of Hippocrates
   Intersecting Circles
   Tangent Circles Index
   Pi
   Mascheroni construction with compass alone

Triangle Centers
   Centroid
   Circumcenter
   Incenter
   Excenter
   Orthocenter
   Distances

Congruence

Similarity, Ratios, Proportions

Classical Theorems

Areas
   Triangles
   Square

Geometric Mean

Solid Geometry

Problems
   Complete List of Problems

   Visual Index
   Ten Geometry Problems
   Problemas en Espanol

Theorems

Definitions

Dynamic Geometry

Jigsaw Puzzle: Geometry

Archimedes

Fractal Geometry Index: Mindmap

Hyperbolic Geometry

Euclid's Elements

Euclidean Geometry - Selections

Sacred Geometry

Tessellations

Kaleidoscopes

Geometry Projects Brainstorming.

Geometric Art

Geometry for Children

Geometry in the Real World - Index

Sangaku Japanese Geometry

Software

   Dynamic Geometry

   GeoGebra

   Geometry Expressions

   TracenPoche Interactive Software

   iPad Apps

   Wolfram Mathematica

      Wolfram Demonstrations Project & Geometry

      Wolfram Alpha Examples, Mind Maps

      Wolfram Mathematica

Geometry Mind Maps

Golden Rectangles

Go Geometry Education

Van Hiele Model Index

 

 

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Last updated: Apr 4, 2024