Geometry Lessons

Geometry Lessons

 

 

Arcs and Angles

 

Conditional Probability: An Introduction 

 

Congruence Through Transformations

 

Congruent and Similar Polygons

 

Dilations Using Right Triangles

 

Expository Writing in Math 

 

Finding the Equation of a Circle

 

Investigating Special Right Triangles

 

Law of Sines 

 

Parallel Lines Cut by a Transversal

 

Pythagorean theorem and Its Converse

 

Solving Quadratic Equations – Alternative Methods

 

The Parallelogram Law

 

Introduction to Trigonometric Functions

 

Investigating Similar Triangles

 

 

• Topology is the mathematical study of the properties that are preserved through deformations, twisting, and stretching of objects. Tearing, however, is not allowed. A circle is topologically equivalent to an ellipse (into which it can be deformed by stretching) and a sphere is equivalent to an ellipsoid.
• A simple way to describe topology is as a 'rubber sheet geometry.
• Topologists study those properties of shapes that remain the same when the shapes are stretched or compressed.