What is deductive reasoning, Mathematics

Assignment Help:

What is Deductive Reasoning ?

Geometry is based on a deductive structure -- a system of thought in which conclusions are justified by means of previously assumed or proved statements. The process of deductive reasoning involves three steps:

Step 1: Start with the given conditions (hypothesis).

Step 2: Use logic, definitions, postulates, or previously proved theorems to justify a sequence of thoughts.

Step 3: State your conclusions.

Example 4 :  Given DABC is an equilateral triangle with three congruent sides A@B@C. After we use logic to supply the correct statements in step 2, we can come to the conclusion (theorem): If all the three sides of a triangle are congruent, then the three angles are congruent.

 

 


Related Discussions:- What is deductive reasoning

Functions, find the domain of the function f(x) = (| sin inverse sin x | - ...

find the domain of the function f(x) = (| sin inverse sin x | - cos inverse cos x) ^ 1/2

Find out arc length - applications of integrals, Find out the length of y =...

Find out the length of y = ln(sec x ) between 0 x π/4. Solution In this example we'll need to use the first ds as the function is in the form y = f (x). So, let us g

Solve 4 cos(t )= 3 on[-8, Solve 4 cos(t )= 3 on[-8,10]. Solution : Here...

Solve 4 cos(t )= 3 on[-8,10]. Solution : Here the first step is identical to the problems in the previous section. First we need to isolate the cosine on one side by itself & t

Percentage, A person spent 12.5% of his money and then rs.1600 and then 40%...

A person spent 12.5% of his money and then rs.1600 and then 40% of the remaining,now left rs.960 with him.What is his original money?

Differentials, Differentials : In this section we will introduce a nota...

Differentials : In this section we will introduce a notation. We will also look at an application of this new notation. Given a function y = f ( x ) we call dy & dx differen

Calculate latest triangular area sail for his boat, Rick is order a latest ...

Rick is order a latest triangular sail for his boat. He needs knowing the area of the sail. Which formula will he use? The area of a triangle is 1/2 times the length of the bas

Saxon math, what is the are of a square that is 2 inches long and 2 inches...

what is the are of a square that is 2 inches long and 2 inches wide?

Pde, i find paper that has sam my homework which i need it, in you website...

i find paper that has sam my homework which i need it, in you website , is that mean you have already the solution of that ?

Marketing, In a 2500 word report do the market analysis of China. Under thi...

In a 2500 word report do the market analysis of China. Under this you have to explain: - What are the advantages and disadvantages for foreign company to set up its business cent

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