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

Fractions, is 1 and 1/2+2 and 1/7 3 and 9/4

is 1 and 1/2+2 and 1/7 3 and 9/4

Ellipsoid - three dimensional spaces, Ellipsoid Now here is the genera...

Ellipsoid Now here is the general equation of an ellipsoid. X 2 / a 2 + y 2 /b 2 + z 2 /c 2 = 1 Here is a diagram of a typical ellipsoid. If a = b = c afterw

Solving multi step equations, can you help me? cause im in 7th grade advanc...

can you help me? cause im in 7th grade advanced math and tomorrow I have a test tomorrow and I don''t get this

Solve the form ax2 - bx - c factoring polynomials, Solve the form ax 2 - b...

Solve the form ax 2 - bx - c factoring polynomials ? This tutorial will help you factor quadratics that look something like this: 2x 2 -3x - 14 (Leading coefficient is

Find the sides of hypotenuse , The hypotenuse of a right triangle is 20m. ...

The hypotenuse of a right triangle is 20m. If the difference between the length of the other sides is 4m. Find the sides. Ans: APQ x 2 + y 2 = 202 x 2  + y 2 = 400

What is the difference in the two low temperatures, The low temperature in ...

The low temperature in Anchorage, Alaska present was -4°F. The low temperature in Los Angeles, California was 63°F. What is the difference in the two low temperatures? Visualiz

Critical point of exponential functions and trig functions, Critical point ...

Critical point of exponential functions and trig functions, Let's see some examples that don't just involve powers of x. Example:  find out all the critical points for the

Determine the mass of the hemisphere, Question 1. Use cylindrical coordinat...

Question 1. Use cylindrical coordinates to nd the mass of the solid of density e z which lies in the closed region  Question 2. The density of a hemisphere of radius a (y 

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