Concept:
Twinning is the regular intergrowth of two or more crystals of the same mineral according to a definite crystallographic law.
Step 1: Match Geniculated twins.
Geniculated twins are commonly seen in rutile.
\[
A\rightarrow II
\]
Step 2: Match Cruciform twins.
Cruciform twins are characteristic of staurolite.
\[
B\rightarrow I
\]
Step 3: Match Butterfly twins.
Butterfly twins are associated with calcite.
\[
C\rightarrow IV
\]
Step 4: Match Arrow head twins.
Arrow head twins are commonly shown by gypsum.
\[
D\rightarrow III
\]
Therefore, the correct matching is:
\[
A-II,\ B-I,\ C-IV,\ D-III
\]
\[
\therefore \text{Correct Answer is (A)}
\]