Final answer:
The enzyme responsible for converting 3-phosphoglycerate into 2-phosphoglycerate is phosphoglycerate mutase, a part of the glycolysis metabolic pathway.
Step-by-step explanation:
The enzyme that transfers between 3-phosphoglycerate and 2-phosphoglycerate is phosphoglycerate mutase. This enzyme works by first transferring its phosphate group to the -OH at position#2 and then receiving the phosphate from position#3 of the intermediate, which results in the isomerization of 3-phosphoglycerate to 2-phosphoglycerate. Following this reaction, the enzyme enolase acts upon the 2-phosphoglycerate molecules to convert them into phosphoenolpyruvate (PEP) through a dehydration reaction. This sequence is part of glycolysis, which is the metabolic pathway that converts glucose into pyruvate, producing energy in the form of ATP.