Udjuni.com

udjuni.com search:



Mathematics
Science
Computing
Accounting
Business
History
Agriculture
Biology

Introduction to Geometry


By definition geometry is considered to be the study of space, shapes and their configurations. Almost every one of us use geometry on a daily basis ranging from computer scientist, to engineers to less sophisticated and ordinary people (you and me). Can you imagine building a house, clearing an area for planting and walking around with actually knowing what the shape of your house is, how long, wide and high it needs to be, or how long you and wide your field is and whether or not you have corners and stuff like that? Those are all among daily application of geometry.

Geometry Terminology


  • POINT - any given spot, each point is usually assigned a Capital letter.

  • LINE - a straight line that never ends, usually assigned a lower case letter.

  • ANGLE - an angle is made by two lines extending from the same endpoint.

  • DEGREE - type of measurement used to show amount of opening between the two lines that meets at an angle

  • ACUTE ANGLE - angle measures less than 90 degrees

  • OBTUSE ANGLE - angle measures greater than 90 degrees but less than 180 degrees

  • CONGRUENT - consists of two lines or figures that are exactly the same

  • LINE SEGMENT - This is an area of a line defined by 2 points on that line.

  • MIDPOINT - a point that is in the exact middle of a line segment

  • ENDPOINT - a point on the end of a line segment

  • RAY - Is a line extending from one endpoint and continues forever and possibly with other points along the line


Geometrical Symbols


The field of geometry like any other field, has its own jargon or set of symbols that may otherwise not be understood by somebody who has never done geometry. Bellow is a list of geometrical symbols and their meanings. Make sure you know these well, we will be using a lot of these in this and the coming sections.








SymbolMeaning
AngleAngle - Denotes an Angle (in degrees) formed by given points
congruentCongruent - Denotes figures that are of the same shape and size
DegreeDegree - Measurement for Angles formed by points
Parallel linesParallel lines - Denotes Lines that moves in the same direction and is same distance way from each other at any given point.
Perpendicular linesPerpendicular Lines - Lines that crosses eachother forming a 90 degree angle at the point of intersection
Right Angle Right Angle - Denotes an angle that is exactly 90 degrees
Geometrically SimilarSimilar - Is used to denote figures that are of the same shape but different sizes
Mathematical therefore symbolTherefore, used to illustrate implication such as a = b therefore b = a
triangle symbolTriangle - denotes a triangle with all sides of the same length.


Geometrical shapes


Triangles
These are enclosed figures with three sides and three angles. There are several versions of a triangle that include acute triangle, obtuse triangle, and equilateral triangle and so on. We will be discussing these in detail in the coming sections. The sum of all the interior angles in a triangle is Always 180 degrees
Quadrilaterals
Quadrilaterals are shapes with four sides and four Angles. Among the common quadrilaterals is he square, rectangle, parallelogram and Trapezium or trapezoid.
Again we will be discussing each of these shapes in detail later. For now you just have to know that they have four sides and four interior angles. The sum of all the interior angles in a quadrilateral is Always 360 degrees

Other shapes


Other shapes you will encounter in geometry are pentagons with five sides and five angles (The sum of all the interior angles in a pentagon is Always 520 degrees.

Hexagons have 6 sides and six angles. The sum of all the interior angles in a hexagon is Always 720 degrees.

Heptagons have 7 sides and 7 Angles. The sum of all the interior angles in a heptagon is Always 900 degrees.

Octagon has 8 sides and 7 Angles. The sum of all the interior angles in a Octagon is Always 1080 degrees

The list goes on for as long as you can, but somehow the more angles you get the more your figure will look like a circle whose interior angles sums up to 360.



RELATED ARTICLES:


Geometry: Complementary and Supplementary angles
Complementary angles In Geometry, Complementary angles are those that adds up to 90 degrees. Thus given one angle we can find the other if we know the angles are complementary.. This is how we do it: Example: Find a complementary angle of 48 degrees: Ste

Geometry: Lines and Angles
As we saw in the posting Introduction to Geometry, the angle formed by two perpendicular lines equals 90 degrees. Which the

Triangles in Geometry
Triangles are closed geometrical figures with three sides and three angles or vertexes. There are several different forms of a triangle, one being the right-angle triangle (where there is one angle that is equal to 90 degrees), acute triangles (where all three angles are less than 90 degrees) and ob

Introduction to Accounting


Introduction to Operations Management
Operations management encompasses the process of how businesses produce goods and/or services. This involves responsibilities, activities and decisions of those tasked with managing production processes. Almost everything we use, eat or wear is made somewhere, possibly a manufacturing plant or simil

Introduction to HTML
HTML is a computer language used to create websites. The fact that you are looking at this page, means you are also looking at the outcome of html code. It is relatively easy to learn, with the majority of what you really need to know being readily available and for free on the internet.

Introduction to Programming
What exactly is programming? Programming can be defined as the art of telling a computer to do whatever you want it to. If you are reading this posting you probably started off with switching the computer on and then opened the browser that got you to this page. Every comp

Introduction to SQL
The term SQL stands for structure query language. It consists of a set of command that humans use to instruct a computer to store, modify and retrieve information. This posting and a few more to come will discuss the commands used to create/allocate storage space, how data is stored,

Polygons: Areas and sizes
Calculating areas of polygons. In the last postings such as Introduction to Geometry we may have covered polygons. Polygons are closed figures with certain number of vertexes and angles. A

Combining Like Terms


Did not find it? Try udjuni.com search:







© 2009 UdjunI LLC. All rights reserved | Privacy policy | Tutorial Index | RSS Feed