In parallelogram ABCD, the perpendiculars BE and DF are drawn to the diagonal AC. Prove that the BFDE is a parallelogram.
| March 28, 2021 | education
The diagonal AC of the parallelogram divides it into two equal triangles, the triangle ABC is equal to the triangle ADC.
The segments BE and DF are the heights of equal triangles, then BE = DF.
By condition, BE and DF are perpendicular to AC, then BE and DF are parallel to each other.
In the quadrangle BFDE, two opposite sides are equal and parallel, then this quadrilateral is a parallelogram, which is what we had to prove.
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.
