Geometry Problem 1472: Cyclic Quadrilateral, Perpendicular Diagonals, Rectangle, Step-by-step Illustration

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.


Static Diagram of Geometry Problem1472

Problem 1472 Cyclic Quadrilateral, Perpendicular Diagonals, Rectangle, Step-by-step Illustration, iPad Apps


Poster of the Geometry Problem 1472 using iPad Apps

Poster Dynamic Geometry 1472: Cyclic Quadrilateral, Perpendicular Diagonals, Rectangle, Step-by-step Illustration Using GeoGebra, iPad Apps

Classroom Resource:
Interactive step-by-step animation using GeoGebra

This step-by-step interactive illustration was created with GeoGebra.

  • To explore (show / hide): click/tap a check box.
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  • To manipulate the interactive figure: click/tap and drag the blue points or figures.

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