16. As shown in Figure 9, in $\triangle A B C$, $P$ is a point on $A B$. The following four conditions are given:
(1) $\angle A C P=\angle B$;
(2) $\angle A P C=\angle A C B$;
(3) $A C^{2}=A P \cdot A B$;
(4) $A B \cdot C P=A P \cdot C B$
Among these, the conditions that satisfy the similarity of $\triangle A P C$ and $\triangle A C B$ are ( ).
(A)(1)(2)(4)
(B)(1)(3)(4)
(C)(2)(3)(4)
(D)(1)(2)(3)
16. D.

From the similarity of $\triangle A P C$ and $\triangle A C B$, and
$$
\angle A=\angle A, \angle A C P \neq \angle A C B \text {, }
$$

it follows that $\angle A C P=\angle B, \angle A P C=\angle A C B$.
Therefore, $\frac{A P}{A C}=\frac{A C}{A B}=\frac{C P}{C B}$.
Hence, $A C^{2}=A P \cdot A B ; A B \cdot C P=A C \cdot C B$.