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Ex.5.1 Q6 Introduction to Euclids Geometry Solution - NCERT Maths Class 9

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Question

In the given figure, if \(AC = BD\) then prove that \(AB = CD.\)

 

 Video Solution
Introduction To Euclids Geometry
Ex 5.1 | Question 6

Text Solution

  

Reasoning:

We know that when equals are subtracted from equals, the remainders are equal.

Steps:

\[\begin{align} AC & = BD \\ AB + BC & = BC + CD \end{align}\]

[ Point \(B\)  lies between \(A\) and \(C\) point \(C\) lies between \(B\) and  \(D\).]

\[\begin{align} AB + BC - BC & = BC + CD - BC \\ AB & = CD\end{align}\]

  
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