A Trapezium theorem generalized
DE VILLIERS, M (2013) A Trapezium theorem generalized. At Right Angles, 2 (3). pp. 5356. ISSN 25821873

Text
 Published Version
Download (451kB)  Preview 
Abstract
A nice investigation with dynamic geometry for students at high school is the socalled Midpoint Trapezium theorem, which appears in many popular geometry textbooks such as Serra (2008, pp. 276277). 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  

Authors:  DE VILLIERS, M  
Document Language: 


Uncontrolled Keywords:  Trapezium (trapezoid), halfturn, parallelogram, triangle inequality, translation, midpoint triangle theorem  
Subjects:  Natural Sciences Natural Sciences > Mathematics 

Divisions:  Azim Premji University > 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.apsouth1.amazonaws.com/s3fs... 
Actions (login required)
View Item 
Altmetric