A Trapezium theorem generalized
DE VILLIERS, M (2013) A Trapezium theorem generalized. At Right Angles, 2 (3). pp. 53-56. ISSN 2582-1873
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Abstract
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 | ||
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| Authors: | DE VILLIERS, M | ||
| Document Language: |
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| Uncontrolled Keywords: | Trapezium (trapezoid), half-turn, parallelogram, triangle inequality, translation, midpoint triangle theorem | ||
| Subjects: | Natural Sciences Natural Sciences > Mathematics |
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| Divisions: | Azim Premji University - Bengaluru > University Publications > At Right Angles | ||
| Full Text Status: | Public | ||
| Related URLs: | |||
| URI: | http://publications.azimpremjiuniversity.edu.in/id/eprint/1695 | ||
| Publisher URL: | http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-... |
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