The correct answer is: E. outrage : consideration.
Umbrage is a feeling of displeasure or resentment, while offense is a cause of displeasure or resentment. Outrage is a feeling of extreme anger or indignation, while consideration is the act of thinking about someone or something carefully.
In the original pair of words, umbrage is a feeling that is caused by offense. In the answer pair, outrage is a feeling that is caused by consideration. Therefore, the two pairs of words have a similar relationship.
A. confusion : penance is not a good pair because confusion is not caused by penance. Penance is a punishment or act of atonement for a sin or wrongdoing. Confusion is a state of being bewildered or puzzled.
B. infinity : meaning is not a good pair because infinity is not caused by meaning. Meaning is the significance or importance of something. Infinity is the state of being infinite or endless.
C. decorum : decoration is not a good pair because decorum is not caused by decoration. Decorum is the quality of being polite and respectful. Decoration is the act of making something look more attractive by adding ornaments or designs.
D. elation : jubilance is not a good pair because elation is not caused by jubilance. Elation is a feeling of great happiness or excitement. Jubilance is a feeling of great joy or happiness.
Therefore, the correct answer is E. outrage : consideration.