Prove that the diagonal of a parallelogram divides it into two equal triangles.

Given:
parallelogram AВСK,
AC is the diagonal of the parallelogram.
Prove that triangle ABC = triangle CKA.
Evidence:
Consider triangle ABC and triangle CKA. Side AB = side SK and side BC = side AK, since in a parallelogram, by definition, the opposite sides are equal. The AC side is common. By equality on three sides, triangle ABC = triangle CKA. Q.E.D.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.