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

Matrices, (e) Solve the following system of equations by using Matrix meth...

(e) Solve the following system of equations by using Matrix method. 3x + 2y + 2z = 11 x + 4y + 4z = 17 6x + 2y + 6z = 22

What are mutually exclusive events, Q. What are Mutually Exclusive events? ...

Q. What are Mutually Exclusive events? Mutually Exclusive Events are mutually exclusive if they cannot occur at the same time. For example, if you roll one die, you canno

Problem solving, Let E; F be 2 points in the plane, EF has length 1, and le...

Let E; F be 2 points in the plane, EF has length 1, and let N be a continuous curve from E to F. A chord of N is a straight line joining 2 points on N. Prove if 0 and N has no cho

Probability, what is a sample space diagram

what is a sample space diagram

Inverse of a matrix, Explain Inverse of a matrix, need assignment help.

Explain Inverse of a matrix, need assignment help.

Development is continuously going on-- learning mathematics, DEVELOPMENT IS...

DEVELOPMENT IS CONTINUOUSLY GOING ON :  Think of any two children around you. Would you say that they are alike? Do they learn the same things the same way? It is very unlikely be

Function expansion, The functions {sinmx; cosmx}; m = 0,....∞ form a ...

The functions {sinmx; cosmx}; m = 0,....∞ form a complete set over the interval x ∈ [ -Π, Π]. That is, any function f(x) can be expressed as a linear superposition of these

Solve the value of x and y , 7(y + 3) - 2(x + 2) = 14, 4 (y - 2) + 3(x ...

7(y + 3) - 2(x + 2) = 14, 4 (y - 2) + 3(x - 3) = 2 Ans:    7(y + 3) - 2 (x+ 2) = 14          --------- (1) 4(y- 2) + 3(x - 3) = 2 ----------(2) From (1) 7y +21 -

Linear programming, Chelsea has been facing some financial problems which e...

Chelsea has been facing some financial problems which even caused her daily expenses for food, at the same time, she hasn''t receive the money from the bank loan yet. Therefore, sh

Equivalent or equal sets, Equivalent or Equal sets Two sets C and D are ...

Equivalent or Equal sets Two sets C and D are said to be equal whether every member of set C belongs to D and every member of set D belongs also to C.

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