Home Geometry Problems All Problems Visual Index 561-570 Post a comment         By Antonio Gutierrez
  Recent Additions
Problem 569: Quadrilateral, Excircles, Tangency Points, Congruence

The figure shows a quadrilateral ABCD with the excircle E tangent to AB at F, excircle G tangent to BC at H, excircle J tangent to CD at K, and excircle L tangent to AD at M, EF and GH meet at N, GH and JK meet at P, JK and LM meet at Q, and LM and EF meet at R. Prove that NP + QR = NR + PQ

Quadrilateral, Excircles, Tangency points, Congruence