What are the basic elements of reasoning, Mathematics

Assignment Help:

What are the Basic Elements of Reasoning ?

There are four basic elements used in geometry. If we say studying geometry is like building a house, then these elements are like different types of materials. Logical methods of reasoning can bind these elements together and allow us to build on our foundation to create a wide range of structures. The four basic elements are the following:

1. Undefined Term :  A word is so fundamental that it cannot be satisfactorily be defined. However, undefined terms can be described. Example: point, line, and plane.

2. Definition :  A definition clearly states the meaning of a term or an idea. The reverse of a definition must be also true. Definitions begin by identifying the term to be defined. We state the characteristics of the term which have been previously defined or are commonly understood. Defined terms are words or symbols people use which refer to geometric figures and relationships. Example: segment, ray and angle.

3. Postulate (sometimes referred to as an "axiom") :  A postulate is a statement that is based on experience and people take for granted.

4. Theorem :  A theorem is a generalization which can be proven true by means of other true statements.

 


Related Discussions:- What are the basic elements of reasoning

What is angle pairs in parallel lines, What is Angle Pairs in Parallel Line...

What is Angle Pairs in Parallel Lines ? Next, we introduce several angle pairs formed by transversals which are very important in our study of geometry. Alternate interior an

FRACTION, HOW TO ADD MIXED FRACTION

HOW TO ADD MIXED FRACTION

Find out the total number of pounds of coffee purchased, Megan bought x pou...

Megan bought x pounds of coffee in which cost $3 per pound and 18 pounds of coffee at $2.50 per pound for the company picnic. Find out the total number of pounds of coffee purchase

Ms. Smith, How can I use the I=Prt formula to get the interest for this pro...

How can I use the I=Prt formula to get the interest for this problem? A car dealer sells me a car for $16450 with $3,290 down and $339.97 monthly payments for 48 months. What is

Permuation and combination, how many words can be formed from letters of wo...

how many words can be formed from letters of word daughter such that each word contain 2vowles and 3consonant

Initial value problem, An IVP or Initial Value Problem is a differential eq...

An IVP or Initial Value Problem is a differential equation with an appropriate number of initial conditions. Illustration 3 : The subsequent is an IVP. 4x 2 y'' + 12y' +

Differential equations, Verify Liouville''''s formula for y "-y" - y'''' + ...

Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?

Gabbyu, how smart do u have to be to get into google

how smart do u have to be to get into google

What is box-and-whisker plot, Q. What is Box-and-Whisker Plot? Ans. ...

Q. What is Box-and-Whisker Plot? Ans. Line graphs or stem-and-leaf plots become difficult to manage when there is a large amount of data. Box-and-whisker plots help summa

Determine the length of the rectangle, The height of a rectangle is 20 cm. ...

The height of a rectangle is 20 cm. The diagonal is 8 cm more than the length. Determine the length of the rectangle. a. 20 b. 23 c. 22 d. 21 d. To determine the len

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd