Basic Properties of Geometrical Figures

Explore the fundamental properties of geometric figures in this comprehensive video series. Delve into congruence transformations, including translation, rotation, and reflection. Investigate the mysteries behind simple shapes and learn about composite transformations. Discover reflectional and rotational symmetry, including orders of rotational symmetry. Journey through the history of geometry from Euclid to Einstein and beyond. Master triangle and quadrilateral properties, applying them in geometric proofs. Examine the evolution of quadrilaterals from parallelograms to squares. Illustrate the angle sum of a triangle and understand congruent figures through transformations. Visualize the quadrilateral family tree to grasp the relationships between different four-sided shapes.

Congruence Transformations (1 of 3: Translation).
Congruence Transformations (2 of 3: Rotation).
Congruence Transformations (3 of 3: Reflection).
Shapes are simple... but mysterious!.
Composite Transformations.
Transformation & Rotation by Repeated Reflection.
Reflectional Symmetry.
Introduction to Rotational Symmetry.
Orders of Rotational Symmetry.
The Global/Historical Geometry Project (1 of 2: Euclid to Lobachevsky).
The Global/Historical Geometry Project (2 of 2: Einstein to today).
Equal Angles Opposite Equal Sides.
Using Triangle Properties in Geometric Proofs.
Quadrilateral Evolution (1 of 2: To the Parallelogram).
Quadrilateral Evolution (2 of 2: To the Square).
Using Quadrilateral Properties (1 of 2: Prologue about Proof).
Using Quadrilateral Properties (2 of 2: Example Proof).
Illustrating the Angle Sum of a Triangle.
Congruent Figures (1 of 2: Introduction).
Congruent Figures (2 of 2: Transformations).
Rotational Symmetry.
Quadrilateral Family Tree.