In figure, AC = AE, AB = AD and ∠BAD = ∠EAC. Show that BC = DE.
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ʙᴇᴄᴀᴜsᴇ ᴘʟᴀɴᴇᴛs ᴅᴏ ɴᴏᴛ ʜᴀᴠᴇ ɴᴜᴄʟᴇᴀʀ ғᴜsɪᴏɴ, ᴛʜᴇʏ ᴅᴏ ɴᴏᴛ ᴘʀᴏᴅᴜᴄᴇ ᴛʜᴇɪʀ ᴏᴡɴ ʟɪɢʜᴛ. ɪɴsᴛᴇᴀᴅ, ᴛʜᴇʏ sʜɪɴᴇ ᴡɪᴛʜ ʟɪɢʜᴛ ʀᴇғʟᴇᴄᴛᴇᴅ ғʀᴏᴍ ᴀ sᴛᴀʀ. ᴡʜᴇɴ ᴡᴇ sᴇᴇ ᴘʟᴀɴᴇᴛs ɪɴ ᴛʜᴇ ɴɪɢʜᴛ sᴋʏ, sᴜᴄʜ ᴀs ᴠᴇɴᴜs, ᴛʜᴇ sᴏ-ᴄᴀʟʟᴇᴅ "ᴇᴠᴇɴɪɴɢ sᴛᴀʀ," ᴡᴇ'ʀᴇ sᴇᴇɪɴɢ ʀᴇғʟᴇᴄᴛᴇᴅ sᴜɴʟɪɢʜᴛ.
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