BASIC PROPORTIONALITY THEOREM PROOF

About the topic "Basic proportionality theorem proof"

"Basic proportionality theorem proof" is the topic often searched by almost all the students who study geometry in school level math. 

Often students have this question in geometry.  That is, " How to prove "Basic proportionality theorem" ? ". 

Even though students get answer for this question on internet, they do not understand exactly what has been explained. 

To make the students to understand the proof of this theorem clearly, we have given step by step explanation.

Basic proportionality theorem

Proof : 

Step 1 :

Step 2 :

Step 3 :

Step 4 :

"Basic proportionality theorem proof" is the much required stuff for the students who study Geometry in school level math. Even though students get proof of Basic Proportionality Theorem on internet, they find it difficult to understand what has been explained.    

Before students understand the proof of the theorem, first they are in the position to understand what the theorem says.

Once the theorem is understood by the students, they have to go through the proof step by step.

Always the topic "Geometry" in math is bit difficult for the students to understand. In order to make the topic "Geometry" as an easy one for the students, we have given step by step explanation for the proof of "Basic proportionality theorem"

To understand this theorem, we have to go through the theorem along with the figure given above.

Theorem says, " A straight line is drawn parallel to one side of the triangle "

In the figure, the above said work is done by the straight line, "DE".

Then, it says, "The same straight line intersects the other two sides of the triangle" That is, the line "DE" intersects the other two sides "AB" and "AC" of the triangle.

In this situation, in whichever ratio the line DE divides the side AB, in the same ratio it will divide the side AC.

For example, if the line DE divides the side AB in the ratio 1:2, then the side AC also will be divided DE in the same ratio 1:2.

Here students may have a question. That is, how is this possible ?. That has been clearly explained in the step by step proof.

Please go through the the proof step by step.

When students go through the proof step by step, they will definitely be able to understand.




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