An unexpected property of quadrilaterals^*

* These notes discuss several related propositions in geometry that can be explored in a dynamic geometry environment. The propositions involve an unexpected property of quadrilaterals.

ABSTRACT

These notes discuss several related propositions in geometry that can be explored in a dynamic geometry environment. The propositions involve an unexpected property of quadrilaterals.

KEYWORDS:

• Geometry
• dynamic geometry
• quadrilateral
• analytic geometry
• Euclidean geometry

MSC SUBJECT CLASSIFICATION:

• 00A05

Acknowledgements

I would like to thank Dr. Shaun V. Ault, Head of the Department, Mathematics Department, Valdosta State University, Georgia, USA, for reading the manuscript and providing significant feedback. I would also like to thank the reviewers for their valuable feedback and well-articulated comments.

Disclosure statement

No potential conflict of interest was reported by the author.

ORCID

Arsalan Wares http://orcid.org/0000-0003-2916-2014

Notes

* These notes discuss several related propositions in geometry that can be explored in a dynamic geometry environment. The propositions involve an unexpected property of quadrilaterals.