APPLYING COMPLEX NUMBERS TO SOLVE PROOF PROBLEMS IN PLANE GEOMETRY

Complex numbers are used in various fields of science, such as engineering science, electromagnetism, quantum mechanics, and applied mathematics, such as chaos theory. Gerolamo Cardano-an Italian mathematician, is the first person to introduce complex numbers. He used them to solve cubic equations in the 16th century. It is essential to have various tools to solve successfully difficult problems. Methods using complex numbers should be used instead of complicated classical geometry solutions. Complex numbers are powerful tools in geometry problems, especially proof problems. By representing the coordinates of points in plane geometry through complex numbers, conditions and conclusions of geometric problems can be expressed as algebraic equations. Thus, the geometric proof problem is reduced to an equality test problem.