Geometry Problems

John Benson, well-know for his creative and original geometry problems, is sharing with other ICTM members.

John Benson, ICTM

John Benson

I believe that students learn mathematics best when they work on appropriate problems, problems that challenge them to create new information. I have written many such problems for the Geometry course that I teach.

These problems are aimed at honors level students and are correlated with the book "Geometry for Enjoyment and Challenge" which we have used for many years. It was suggested that it might be useful to others to make these problems available, so I am posting them for all ICTM members to use. Please feel free to contact me with comments or questions. I hope they make teaching a little more fun.

Resource Page for ICTM Members

The sets of problems, available for download below, are grouped by Chapters and coordinate with the text, Geometry for Enjoyment and Challenge, published by Houghton Mifflin Harcourt. They are, however, appropriate for all geometry courses and contain a wide variety of topics and a large range of difficulty. If you teach geometry, we know you will find many problems of interest to you and your students.

Problem Set: Chapter 1: Getting Started, Definitions and Beginning Proof

Download MS Word File: 01definitionsproof.doc

Problem Set: Chapter 2: Further Proof, Supplements, Complements and Algebra

Download MS Word File: 02supplementcomplementalgebra.doc

Problem Set: Chapter 3: Congruent Triangle Proofs

Download MS Word File: 03congruenttriangleproofs.doc

Problem Set: Chapter 4: Perpendicular Proofs

Download MS Word File: 04perpendicularproofs.doc

Problem Set: Chapter 5: Parallels

Download MS Word File: 05parallels.doc

Problem Set: Chapter 6: Three Dimensional Proofs

Download MS Word File: 06threeDproof.doc

Problem Set: Chapter 7: Polygons

Download MS Word File: 07polygons.doc

Problem Set: Chapter 8: Similarity

Download MS Word File: 08similarity.doc

Problem Set: Chapter 9: Right Triangle Theorems

Download MS Word File: 09righttriangletheorems.doc

Problem Set: Chapter 10: Circles

Download MS Word File: 10circles.doc

Problem Set: Chapter 11: Area

Download MS Word File: 11area.doc

Problem Set: Chapter 12: Volume and Surface Area

Download MS Word File: 12volumesurfacearea.doc

Problem Set: Chapter 13: Coordinates

Download MS Word File: 13coordinates.doc

Problem Set: Chapter 14: Locus, Centers and Construction

Download MS Word File: 14locuscentersconstructions.doc

For more information on these geometry problems, Contact: John Benson