Perpendicular Lines Generated by a Quadrilateral

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The centroid of a triangle is the intersection of the lines drawn from the vertices to the midpoints of the opposite sides.


The orthocenter of a triangle is the intersection of the altitudes.

Let ABCD be a quadrilateral. Let O be the intersection of AC and BD. Draw lines between the centroids of AOB and COD and the orthocenters of BOC and DOA. Those lines are perpendicular.


Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.