We can make a truth table and observe that, which one is true.
$${\begin{array}{|c|c|c|}\hline
A& B& C&A\oplus B &B\oplus C&A\oplus C &A\oplus B \oplus C\\\hline
{\color{Magenta} {0}}& {\color{Blue} {0}}& {\color{Red} {0}} & {\color{Red}{0} } & {\color{Magenta} {0}} & {\color{Blue} {0}} & {\color{Purple} {0}} \\\hline
0& 0& 1&0 & 1 & 1 & 1 \\\hline 0& 1& 0&1 & 1 & 0 & 1 \\\hline
{\color{Magenta} {0}}&{\color{Blue} {1}}&{\color{Red} {1}}&{\color{Red} {1}} & {\color{Magenta} {0}}& {\color{Blue} {1}} & {\color{Purple} {0}}\\\hline
1&0&0&1& 0 & 1 & 1 \\\hline
{\color{Magenta} {1}} &{\color{Blue} {0}}&{\color{Red} {1}}&{\color{Red} {1}} & {\color{Magenta} {1}} & {\color{Blue} {0}} & {\color{Purple} {0}} \\\hline
{\color{Magenta} {1}} &{\color{Blue} {1}}&{\color{Red} {0}}&{\color{Red} {0}} & {\color{Magenta} {1}}& {\color{Blue} {1}} & {\color{Purple} {0}} \\\hline
1&1&1&0 & 0 & 0 & 1\\\hline
\end{array}}$$
From the above truth table, if $A\oplus B = C, $ then $A\oplus C= B,\;B\oplus C= A,\;A\oplus B \oplus C = 0.$
So, the correct answer is $(D).$