Polygons

This course is an introduction to the terminology of Polygons. It provides a detailed explanation of the classification of polygons on the basis of the number of sides. It explains the properties of triangles, i.e, the polygon with 3 sides, Triangle coordinate Proof with examples, properties of quadrilaterals, i.e, the polygon with 4 sides, parallelogram and other quadrilateral coordinates proof and so on. The course also focuses on discussing the concepts of regular and irregular polygons. It further extends the discussion to perimeter and area of polygon using coordinates.

12 topics

101 lectures

Educators

Course Curriculum

17 videos

Parallel and Perpendicular lines

14 videos

Deductive Reasoning

1 videos

Non Rigid Transformations (Dilations)

2 videos

6 videos

Geometry Basics

3 videos

Properties of Quadrilaterals

5 videos

Right Triangles

13 videos

Rigid Motions (Isometries)

6 videos

10 videos

5 videos

Relationships Within Triangles

19 videos

Polygons Lectures

Polygons

More coordinate proofs with quadrilaterals

In geometry, a quadrilateral (from the Latin quadri, "four", and latus, "side") is a polygon with four edges and four vertices or corners. Sometimes, the term quadrangle is used in mathematics for a quadrilateral with no "special" angles. A quadrilateral with four equal length sides is a square, and a quadrilateral with four right angles is a rectangle. A parallelogram is a type of quadrilateral.

Kurt Kleinberg

Polygons

Paralleolograms and other quadrilateral coordinate proof examples

In geometry, the term parallelogram refers to any quadrilateral with four sides of equal length and opposite sides parallel. The word is sometimes used to refer to any quadrilateral, though some writers use it to mean that the opposite sides are parallel and equal in length. In either case, the word parallelogram is sometimes used to refer to a rectangle, and a rhombus is a type of parallelogram.

Kurt Kleinberg

Polygons

Perimeter and area of polygons in the plane intro

A polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit. The solid plane region, the bounding circuit, or the two together, may be called a polygon.

Kurt Kleinberg

Polygons

Perimeter and area of polygons using coordinates examples

In geometry, the perimeter is the boundary of a polygon. The perimeter of a polygon is the sum of the lengths of its sides. The perimeter of a regular polygon is calculated using the following formula: n*s where s is the sides and n is the number of sidesand in the polygon.

Kurt Kleinberg

Polygons

Triangle Coordinate Proof Intro

In mathematics, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of a point or other geometric element on a manifold such as Euclidean space. The order of the coordinates is significant, and they are sometimes identified by their position in an ordered tuple and sometimes by a letter, as in "the x-coordinate". The coordinates are taken to be real numbers in elementary mathematics, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and vice versa; this is the basis of analytic geometry.

Kurt Kleinberg

Polygons

Triangle coordinate proof examples

In mathematics, a triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices "A", "B", and "C" is denoted ? "ABC".

Kurt Kleinberg