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

## 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}

Learn from the best math teachers and top your exams

• Live one on one classroom and doubt clearing
• Practice worksheets in and after class for conceptual clarity
• Personalized curriculum to keep up with school