Geometry Basics

As the name suggests, the course mainly focuses on the fundamentals of geometry. It includes the topics on completing the square, simplifying the radicals and solving quadratics. It discusses the concepts of Euclidean geometry which includes points, lines, planes, surfaces and undefined terms. It provides a detailed discussion of Euclid's postulates and its applications. It further extends the discussion to transformational geometry which includes symmetry and reflection and also deals with the concepts of similarity and congruence.

12 topics

101 lectures

Educators

Geometry Basics Lectures

09:41

Geometry Basics

Completing the Square

In mathematics, completing the square is a technique for transforming a quadratic equation into a form in which the coefficients of the quadratic term are zero, one, or negative. The resulting quadratic equation is called a "completed square".

Kurt Kleinberg

13:29

Geometry Basics

Simplifying Radicals

In mathematics, a radical is a function that extracts square roots. The term is also used for a symbol that represents such a function, usually the symbol ?, which is called the radical sign or radix. In algebra, radicals are represented by square root symbols.

Kurt Kleinberg

12:57

Geometry Basics

Solving Quadratics

In mathematics, the quadratic equation is a polynomial equation of degree two. It is of the form ax^2+bx+c where a,b,c are called the coefficient of the quadratic term. The solutions to this equation are called quadratic equations or quadratic pairs, and the corresponding solutions are called quadratic solutions or quadratic roots.

Kurt Kleinberg