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Challenging Problems in Geometry is a comprehensive book for high school students and teachers. The book comprises of chapters on congruence and parallelism, triangles in proportion, the Pythagorean Theorem, and mensuration. In addition, the book consists of several worked out examples and practice questions to understand the concepts of geometry better. This book is essential for students preparing for various national and international math Olympiad competitions. About the Authors Alfred Posamentier is the Dean of the School of Education and Professor of Mathematics at Mercy College, New York. He is a Professor of Mathematics at The City College of the City University of New York. He has authored more than 55 mathematics books for educators and secondary and elementary school students. Dr. Posamentier is also a frequent commentator in newspapers and journals on topics relating to education. Charles T. Salkind has co-authored this book.