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When is a Parallelogram not a Parallelogram?

Published online by Cambridge University Press:  03 November 2016

P. Gant
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Extract

Is a quadrilateral in which one pair of opposite sides are equal and one pair of opposite angles are equal necessarily a parallelogram? This question arose in class recently and led me to discover much that I did not know about an elementary topic. Possibly others may be interested in the results of my investigation.

The following ‘proof’, for which I am indebted to my colleague, E. H. Lockwood, answers the question in the affirmative. The subsequent paragraph contradicts this.

Type
Research Article
Information
The Mathematical Gazette , Volume 39 , Issue 329 , September 1955 , pp. 191 - 195
Copyright
Copyright © The Mathematical Association 1955

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