{"id":35441,"date":"2023-10-19T20:08:06","date_gmt":"2023-10-19T14:38:06","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=35441"},"modified":"2023-11-10T11:45:31","modified_gmt":"2023-11-10T06:15:31","slug":"basic-geometrical-concepts","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/basic-geometrical-concepts\/","title":{"rendered":"Basic Geometrical Concepts: Introduction, General Terms and Examples"},"content":{"rendered":"

Introduction to Basic Geometrical Ideas<\/strong>
\nThe term \u2018Geometry\u2019 is derived from the Greek word \u2018Geometron\u2019. This has 2 equivalents. \u2018Geo\u2019 means Earth and \u2018metron\u2019 means Measurement.<\/p>\n

Points
\nIt is a position or location on a plane surface, which are denoted by a single capital letter.<\/p>\n

\"Points\"<\/p>\n

Lines and Angles<\/a><\/p>\n

Line Segment<\/strong><\/h2>\n

It is a part of a line with the finite length and 2 endpoints.<\/p>\n

\"Line<\/p>\n

The points A and B are called the endpoints of the segment.<\/p>\n

It is named as:<\/p>\n

<\/p>\n

Line<\/strong><\/h2>\n

It is made up of infinitely many points with infinite length and no endpoint.<\/p>\n

\"Line\"<\/p>\n

It extends indefinitely in both directions.<\/p>\n

Named as:<\/p>\n

<\/p>\n

Or sometimes<\/p>\n

\"Line\"<\/p>\n

Intersecting Lines<\/strong><\/h3>\n

The\u00a0two\u00a0lines<\/strong>\u00a0that share one common point are called Intersecting Lines.<\/p>\n

This shared point is called the point of intersection.<\/p>\n

\"Intersecting<\/p>\n

Here, line l and m are intersecting at point C.<\/p>\n

Real life example of intersecting lines:<\/strong><\/p>\n

\"Fence<\/p>\n

Parallel Lines<\/strong><\/h3>\n

Two or more lines that never intersect (Never cross each other) are called Parallel Lines.<\/p>\n

\"Parallel<\/p>\n

Real life examples of parallel lines:<\/strong><\/p>\n

\"Racetracks<\/p>\n

Ray<\/strong><\/h2>\n

It is a part of a line with one starting point whereas extends endlessly in one direction.<\/p>\n

\"Ray\"<\/p>\n

Real life examples of the ray are:<\/strong><\/p>\n

\"Sun<\/p>\n

Curves<\/strong><\/h2>\n

Anything which is not straight is called a curve.<\/p>\n

1. Simple Curve<\/strong>\u00a0\u2013 A curve that does not cross itself.<\/p>\n

\"Simple<\/p>\n

2. Open Curve<\/strong>\u00a0\u2013 Curve in which its endpoints do not meet.<\/p>\n

\"Open<\/p>\n

3. Closed Curve<\/strong>\u00a0\u2013 Curve that does not have an endpoint and is an enclosed figure.<\/p>\n

\"Closed<\/p>\n

A closed curve has 3 parts which are as follows<\/p>\n

\"Closed<\/p>\n

1. Interior of the curve<\/strong><\/p>\n

It refers to the inside\/inner area of the curve.<\/p>\n

The\u00a0blue<\/strong>\u00a0coloured area is the interior of the figure.<\/p>\n

2. The exterior of the curve<\/strong>.<\/p>\n

It refers to the outside \/ outer area of the curve.<\/p>\n

The point marked A depicts the exterior of the curve.<\/p>\n

3. The boundary of the curve<\/strong><\/p>\n

It refers to the dividing line thus it divides the interior and exterior of the curve.<\/p>\n

The\u00a0black<\/strong>\u00a0line which is dividing the interior and exterior of the curve is the boundary.<\/p>\n

The interior and boundary of the curve together are called the curves\u00a0\u201cregion\u201d.<\/strong><\/p>\n

Polygons<\/strong><\/h2>\n

It is a 2d closed shape made of line segments \/ straight lines only.<\/p>\n

\"Polygons\"<\/p>\n