9. Prove that a line passing through mid point of one non parallel side of a trapezium parallel to parallel sides bisect the other non parallel side

Asked by avantikadandapani | 17th Nov, 2014, 06:26: PM

Expert Answer:

H e r e comma space A B vertical line vertical line space E F vertical line vertical line space D C. space A l s o space D thin space i s space t h e space m i d minus p o i n t space o f space A E. I n space increment A B E comma A D equals D E space a n d space G D space i s space p a r a l l e l space t o space A B therefore G space i s space t h e space m i d minus p o i n t space o f space E B. space left square bracket m i d minus p o i n t space t h e o r e m right square bracket  I n space increment B E F comma G B equals G E space a n d space G C thin space i s space p a r a l l e l space t o space E F. therefore C thin space i s space t h e space m i d minus p o i n t space o f space F B. space left square bracket m i d minus p o i n t space t h e r o e m right square bracket H e n c e space P r o v e d

Answered by Prasenjit Paul | 18th Nov, 2014, 10:15: AM