References

COMMON PROPERTIES OF TRAPEZOIDS AND CONVEX QUADRILATERALS


[1] S. Brown and M. Walter, The Art of Problem Posing, Lawrence Erlbaum Associates, Hillsdale, NJ, 2005.

[2] D. Fraivert, Discovering new geometric properties by spiral inductive deductive investigation, Far East Journal of Mathematical Education (FJME) 16(2) (2016).

[3] D. Fraivert and M. Stupel, Development and implementation of algebraic formulas for calculation in trapezoids, In the book of the international conference \\\"Mathematical education: current state and future perspectives, Dedicated to the 95th anniversary of Prof. A. A. Stolyar, A. Kuleshov University’ Mogilev, Bloruse State. (2014), 287-296.

[4] J. Hadamard, Lessons in Geometry I, Plane Geometry, American Mathematical Society, Providence, RI, 2008.

[5] M. Josefsson, Characterizations of trapezoids, Forum Geometricorum 13 (2013), 23-35.

[6] G. Polya, Mathematics and Plausible Reasoning, Princeton University Press Vol. 1, Princeton, NJ, 1990.

[7] A. Shoenfeld, Teaching problem solving skills, American Math Monthly 87(10) (1980).

[8] M. Stupel and D. Ben-Chaim, A fascinating application of Steiner’s theorem for trapezoids - Geometric constructions using straightedge alone, Australian Senior Mathematics Journal (ASMJ) 27(2) (2013), 6-24.