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ERIC Number: EJ788152
Record Type: Journal
Publication Date: 2008-Mar
Pages: 4
Abstractor: ERIC
Reference Count: N/A
ISSN: ISSN-0025-5785
A Congruence Challenge
Lopez-Real, Francis
Mathematics Teaching Incorporating Micromath, n207 p14-17 Mar 2008
Each year on a one-year full-time programme at the University of Hong Kong, the author devotes a couple of tutorial sessions in the mathematics major modules to "interesting or challenging questions raised by pupils". The main purpose of the sessions is for students to think about how they would react to such questions and often to re-think their own understanding of the mathematical concepts involved. In this article, the author examines one question which he has found quite fruitful in recent years, that is, "If two shapes have the same area and the same perimeter, does it mean they must be congruent?" He offers a few examples to demonstrate whether it is true that two shapes having equal areas and equal perimeters imply congruence. (Contains 9 figures.)
Association of Teachers of Mathematics. Unit 7 Prime Industrial Park, Shaftesbury Street, Derby, DE23 8YB, UK. Tel: +44-1332-346599; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Hong Kong