TEO PARALLELOGAMS HAVE A COMMON DIAGONAL SHOW THAT THE ANGULAR POINTS ARE THOSE OF A PARALLELOGRAM.

Asked by M.s.srinidhi21 | 6th Oct, 2014, 07:40: AM

Expert Answer:

A B C D space i s space a space p a r a l l e log r a m. E x t e n d i n g space A B space t o space E space a n d space C D space t o space F comma space s u c h space t h a t space B E equals D F comma space w e space g e t space a space n e w space p a r a l l e log r a m space A E C F. T h u s space A C space i s space t h e space c o m m o n space d i a g o n a l space o f space b o t h space t h e space p a r a l l e log r a m s. A B vertical line vertical line C D A l s o comma space f r o m space t h e space a b o v e space c o n s t r u c t i o n space A E vertical line vertical line C F. S i n c e space i t space i s space g i v e n space t h a t space A E C F space i s space a space p a r a l l e o g r a m comma space t h e r e f o r e space t h e space a n g u l a r space p o i n t s space a r e space t h o s e space o f space a space p a r a l l e l o g r a m.

Answered by Prasenjit Paul | 6th Oct, 2014, 11:42: AM