Step 1: Amniocentesis Identification.
Amniocentesis is a procedure to determine fetal sex through amniotic fluid sampling, aligning with (IV) Sex Testing.
Step 2: Maternal Mortality Rate Definition.
Maternal mortality rate signifies the death rate of mothers during childbirth, thus corresponding to (III) Death Rate.
Step 3: Vasectomy Definition.
Vasectomy entails the ligation of the vas deferens for male sterilization, matching (II) Vas Deferens Ligation.
Step 4: Tubectomy Definition.
Tubectomy involves the ligation of the fallopian tubes in females, corresponding to (I) Fallopian Tube Ligation.
The correct pairings are:
(A) - (IV), (B) - (III), (C) - (II), (D) - (I).
Final Answer: \[\boxed{\text{The correct match is (A) - (IV), (B) - (III), (C) - (II), (D) - (I).}}\]