Step 1: Recall the unconfined compression test relationship.
For saturated cohesive soils,
\[
q_u=2c_u,
\]
where
\[
q_u=\text{unconfined compressive strength},
\]
and
\[
c_u=\text{undrained shear strength}.
\]
Step 2: Determine the shear strength.
Therefore,
\[
c_u=\frac{q_u}{2}.
\]
Hence, the shear strength is
\[
\boxed{\text{Half the unconfined compression strength}.}
\]
Therefore,
\[
\boxed{(A)}
\]
is the correct answer.