A Trapezium Theorem Generalized

DE VILLIERS, M (2013) A Trapezium Theorem Generalized. At Right Angles, 2 (3). pp. 1-4.

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A nice investigation with dynamic geometry for students at high school is the so-called Midpoint Trapezium theorem, which appears in many popular geometry textbooks such as Serra (2008, pp. 276-277). It can be stated as follows: ‘Given any trapezium ABCD with AD // BC, and if E and F are the respective midpoints of AB and CD, then EF is parallel to the other two sides AD and BC, and equal to half of their sum.’

Item Type: Articles in APF Magazines
Uncontrolled Keywords: Trapezium (trapezoid), half-turn, parallelogram, triangle inequality, translation, midpoint triangle theorem
Subjects: Natural Sciences
Natural Sciences > Mathematics
Divisions: Azim Premji University > University publications > At Right Angles
Depositing User: Mr. Sachin Tirlapur
Date Deposited: 29 Oct 2018 17:06
Last Modified: 29 Oct 2018 17:06
Related URLs:
URI: http://publications.azimpremjifoundation.org/id/eprint/1695
Publisher URL: http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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