Step 1: Recall the structure of natural rubber and gutta-percha.
Natural rubber is \emph{cis}-\(1,4\)-polyisoprene (i.e., \(Z\)-configuration).
Gutta-percha is \emph{trans}-\(1,4\)-polyisoprene (i.e., \(E\)-configuration).
Step 2: Relate configuration to physical properties.
\(Z\)-configuration (cis) → coiled chains → elastic and amorphous
\(E\)-configuration (trans) → linear chains → highly crystalline and non-elastic
Since gutta-percha is described as highly crystalline and non-elastic, it must have the trans (\(E\)) configuration throughout.
Step 3: Match with the given options.
Only option (A) correctly states that gutta-percha consists of
\[
1,4\text{-polyisoprene with all double bonds in } E\text{-configuration}.
\]
Hence, the correct answer is
\[
\boxed{\text{(A)}}
\]