MathDB

1

Part of 2008 Regional Olympiad of Mexico Northeast

Problems(1)

(ABKD)=(CEKF) when ABCD #

Source: VIII - Mathematics Regional Olympiad of Mexico Northeast 2008 P1

9/17/2022
Let ABCDABCD be a parallelogram, EE a point on the line ABAB, beyond B,FB, F a point on the line ADAD, beyond DD, and KK the point of intersection of the lines EDED and BFBF. Prove that quadrilaterals ABKDABKD and CEKFCEKF have the same area.
geometryareasparallelogram