The figure below shows a cyclic quadrilateral ABCD with perpendicular diagonals at P. Lines H1PE3, H2PE4, H3PE1 , and H4PE2 are perpendicular to AB, BC, CD, and AD, respectively. Prove that the quadrilateral E1E2E3E4 is a rectangle.
This step-by-step interactive illustration was created with GeoGebra.
GeoGebra is free and multi-platform dynamic mathematics software for all levels of education that joins geometry, algebra, tables, graphing, statistics and calculus application, intended for teachers and students. Many parts of GeoGebra have been ported to HTML5.
Ten problems: 1411-1420
Cyclic Quadrilateral with Perpendicular Diagonals
HTML5 and Dynamic Geometry
View or Post a solution