Question

In the given figure, AB = BC, M is the midpoint of AB and N is the midpoint of BC. Which one of the following options is correct ?

• A. BN = NC
• B. AM = NC
• C. AM = MB
• D. All of the above

Answer 1

The correct option is D All of the above


$\therefore$ M is mid-point of AB
AM = BM = $\frac{1}{2}$AB .........(1)
$\therefore$ N is the mid point of BC
BN = NC = $\frac{1}{2}$BC .........(2)
AB = BC
{If two things are equal then their halves are also equal}
$\Rightarrow \frac{1}{2}AB=\frac{1}{2}BC$
$\Rightarrow AM=NC$ from (1) & (2)