offend = "to put a snare or trap in the way"
1] to put a stumbling block or impediment in the way, upon which another may trip and fall, metaph. to offend
   1.a] to entice to sin
   1.b] to cause a person to begin to distrust and desert one whom he ought to trust and obey
       1.b.1] to cause to fall away
       1.b.2] to be offended in one, i.e. to see in another what I disapprove of and what {therefore} hinders me from acknowledging his authority
       1.b.3] to cause one to judge unfavourably or unjustly of another
   1.c] since one who stumbles or whose foot gets entangled feels annoyed
       1.c.1] to cause one displeasure at a thing
       1.c.2] to make indignant
       1.c.3] to be displeased, indignant
derivation: from (4625)
http://bible1.crosswalk.com/Lexicons/Greek/grk.cgi?number=4624&version=kjv

offence = "a snare, trap, or trap trigger"
(4625)
1] the movable stick or trigger of a trap, a trap stick
   1.a] a trap, snare
   1.b] any impediment placed in the way and causing one to stumble or fall, (a stumbling block, occasion of stumbling) i.e. a rock which is a cause of stumbling
   1.c] fig. applied to Jesus Christ, whose person and career were so contrary to the expectations of the Jews concerning the Messiah, that they rejected him and by their obstinacy made shipwreck of their salvation
2] any person or thing by which one is (entrapped) drawn into error or sin
derivation: probably from a derivative of (2578)
http://bible1.crosswalk.com/Lexicons/Greek/grk.cgi?number=4625&version=kjv

(2578)
1] to bend, bow, the knee (the knees)
   1.a] to one
       1.a.1] in honour of one
       1.a.2] in religious veneration
   1.b] used of worshippers
2] to bow one's self
derivation: apparently a primary verb
http://bible1.crosswalk.com/Lexicons/Greek/grk.cgi?number=2578&version=kjv

Additional Information:
The dictionary entry for the word "scandal" reports that it is derived from the Latin word "scandulum" which is apparently derived from the Greek word "skandalon" (4625). The 4th dictionary definition reads, "defamatory talk; malicious gossip". The synonym for the 4th definition is "slander, calumny". The synonym "slander" is used in the glossary entry for the word "blasphemy". A relationship therefore exists between the word "offend" and the word "blasphemy".