# A regular hexagon ABCDEF is given. Prove that triangles ABC and DEF are equal.

June 26, 2021 | education

| Given:

hexagon ABCDEF is regular.

Prove that triangles ABC and DEF are equal.

Evidence:

1) Consider a regular hexagon ABCDEF. He has all sides and angles equal to each other by the definition of a regular hexagon;

2) Consider triangles ABC and DEF. They have BC = AB = DE = EF. Angle B = angle E. Therefore, the triangle ABC is equal to the triangle DEF along the dum sides and the angle between them. 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.