Question

In the given fig,we have AC=XD . C is a midpoint of AB and D is the midpoint of XY.Using the Euclid's axiom,show that AX=XY.

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Answer 1

Answer:

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Answer 2

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ᴀʙ=2ᴀᴄ [ ᴄ ɪs ᴛʜᴇ ᴍɪᴅ ᴘᴏɪɴᴛ ᴏғ ᴀʙ]-------1

xʏ=2xᴅ [ ᴅ ɪs ᴛʜᴇ ᴍɪᴅ ᴘᴏɪɴᴛ ᴏғ xʏ]--------2

ᴀʟsᴏ,ᴀᴄ=xᴅ

(ɢɪᴠᴇɴ)=2ᴀᴄ = 2xᴅ

ᴛʜᴇʀᴇғᴏʀᴇ,

ᴀʙ=xʏ [ ᴜsɪɴɢ 1,&2]

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[ᴛʜɪɴɢs ᴜsɪɴɢ ᴀʀᴇ ᴅᴏᴜʙʟᴇ ᴏғ ᴛʜᴇ sᴀᴍᴇ ᴛʜɪɴɢs ᴀʀᴇ ᴇǫᴜᴀʟ ᴛᴏ ᴏɴᴇ ᴀɴᴏᴛʜᴇʀ]