6. If B is the mid point of AC and C is the mid point of BD, where A,B,C,D lie on a straight line, say why AB = CD?
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fie triangles and monotheir mid
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sᴏʟᴜᴛɪᴏɴ:
ɢɪᴠᴇɴ, ʙ ɪs ᴛʜᴇ ᴍɪᴅᴘᴏɪɴᴛ ᴏғ ᴀᴄ
ᴀʙ=ʙᴄ ... (1)
ᴀɴᴅ ᴄ ɪs ᴛʜᴇ ᴍɪᴅᴘᴏɪɴᴛ ᴏғ ʙᴅ
ʙᴄ=ᴄᴅ.(2)
ɪ.ᴇ ᴏɴ ᴀᴅᴅɪɴɢ (1) ᴀɴᴅ (2)
ᴀʀᴛ
ᴡᴇ ɢᴇᴛ ᴀʙ+ʙᴄ=ʙᴄ+ᴄᴅ
ʜᴇɴᴄᴇ, ᴀʙ=ᴄᴅ ʜᴇɴᴄᴇ ᴘʀᴏᴠᴇᴅ.
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