Master Euclidean Geometry

Explore the principles of flat space, parallel lines, and classic theorems through interactive visualizations.

Fundamental Principles

Discover Euclid's five postulates and their applications in plane geometry.

Parallel Postulate

Euclid's fifth postulate states that given a line and a point not on it, exactly one line can be drawn through the point that never intersects the original line.

Triangle Angle Sum

In Euclidean geometry, the sum of angles in any triangle always equals 180 degrees.

Congruence Tests

Figures are congruent if they have the same shape and size through transformations like rotation or reflection.

Similarity Principles

Similar figures share identical shape but different size through scaling transformations.

Interactive Triangle Area Tool