why a rhombus ia always a kite but why a kite is not always a rhombus

Asked by Samarth Shah | 3rd Aug, 2014, 10:49: AM

Expert Answer:

K i t e : rightwards arrow Diagonals space intersect space at space right space angles rightwards arrow Angles space between space unequal space sides space are space equal rightwards arrow 1 space D i a g o n a l space b i s e c t s space t h e space o p p o s i t e space a n g l e s rightwards arrow 1 space p a i r space o f space o p p o s i t e space a n g l e s space a r e space c o n g r u e n t  R h o m b u s : rightwards arrow A l l space p r o p e r t i e s space o f space P a r a l l e log r a m space a r e space a p p l i c a b l e space t o space R h o m b u s rightwards arrow A l l space p r o p e r t i e s space o f space K i t e space a r e space a p p l i c a b l e space t o space R h o m b u s rightwards arrow D i a g o n a l s space b i s e c t s space t h e space a n g l e s space a n d space t h e y space p e r p e n d i c u l a r l y space b i s e c t space e a c h space o t h e r rightwards arrow D i a g o n a l s space s p l i t space t h e space R h o m b u s space i n t o space 4 space c o n g r u e n t space r i g h t space a n g l e d space t r i a n g l e s  A space K i t e space c a n space b e c o m e space a space R h o m b u s space i n space t h e space s p e c i a l space c a s e space w h e r e space a l l space 4 space s i d e s space a r e space o f space s a m e space l e n g t h. space

Answered by Dharma Teja | 4th Aug, 2014, 08:37: AM

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