Question

in the given figure,AB=BC,Mis the mid point of AB and N is the mid point of BC. Show that AM=NC.
please tell me fast..​

Answer 1

Answer:

it is given that AB=BC. AB=AM=BM. BC=BN=CN

Answer 2

✯Gɪᴠᴇɴ :-

➪ ᴀʙ = ʙᴄ.

➪ ɴ,ᴍ ᴀʀᴇ ᴍɪᴅᴘᴏɪɴᴛs ᴏғ ᴀʙ ᴀɴᴅ ʙᴄ ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ.

✯Sᴏʟᴜᴛɪᴏɴ :-

Since M is midpoint of line AB.

➪AM = MB

➪AB = AM + MB

➪AB = (2) AM---------------(1)

Similarly ,

➪BC = (2) NC ----------------(2)

From equation (1) and (2)

➪2AM = 2NC ...........as AB = BC

So, AM = NC .......(proved)

ᵐᵃʳᵏ ᵃˢ ᵇʳᵃⁱⁿˡⁱᵉˢᵗ.......᯾