# (i) AB = BC, m is the mid point of AB and n is the mid point of BC. Show that AM = M C (ii) BM = BN , M is the mid point of AB and N is the midpoint of bc show that AB = BC

Dear Student,

i ) Given : AB = BC, M is the mid point of AB and N is the mid point of BC.

From Euclid's 7th axiom we know " Things which are halves of same things are equal to one another . "

So,

AM = NC                                                               ( Hence proved )

ii ) Given : BM = BN, M is the mid point of AB and N is the mid point of BC.

From Euclid's 6th axiom we know " Things which are double of the same things are equal to one another . "

So,

2 BM =  2 BN

AB = BC                                                               ( Hence proved )

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards

• 16
szdf
• 2
it is not possible that am= mc but it is possible if am=nc

question no 1 u asked is the answer to the second question
• -1
Your question is a lot clumsly and can't be understood.please repost this question with proper meaning

• 1
yes

• 4
What are you looking for?