This course aims to teach students the basic properties of geometrical figures. By the end of the course, learners will be able to identify and understand congruence transformations such as translation, rotation, and reflection. They will also learn about shapes, composite transformations, reflectional and rotational symmetry, triangle and quadrilateral properties, and the evolution of quadrilaterals. The course uses a combination of lectures, demonstrations, and practical examples to help students grasp these geometric concepts. This course is intended for individuals interested in gaining a foundational understanding of geometrical figures and their properties.
Overview
Syllabus
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.
Taught by
Eddie Woo
