Question

If $B$ is the mid point of $AC$ and $C$ is the mid point of $BD$, where $A,B,C,D$ lie on the straight line, say why $AB=CD$

Answer 1

Prove the given expression

According to the concept of mid point theorem, a midpoint divides a line into two equal halves.

Given that,

$B$ is the mid point of $AC$

$\therefore AB=BC..................\left(1\right)$

$C$ is the mid point of $BD$,

$\therefore BC=CD..................\left(2\right)$

From the above two equations $\left(1\right)$ and $\left(2\right)$ we can conclude that

$AB=CD$

Hence proved, $AB=CD$.