WHAT IS CONGURENCY ? HOW CAN I DO IT?

Asked by chitranshranjan178 | 14th Aug, 2015, 08:18: PM

Expert Answer:

C o n g r u e n c y space o f space t r i a n g l e s space m e a n s space e q u a l i t y space o f space t r i a n g l e s.  T w o space t r i a n g l e s left parenthesis o r space a n y space s h a p e right parenthesis space i s space s a i d space t o space b e space c o n g r u e n t comma space i f space b o t h space t h e space t r i a n g l e s space h a v e space e q u a l space l e n g t h space o f space s i d e s space a n d s a m e space a n g l e s.  T h e space c r i t e r i a space f o r space t w o space t r i a n g l e s space t o space b e space c o n g r u e n t colon 1. space S S S space minus space left parenthesis s i d e space s i d e space s i d e right parenthesis A l l space t h e space t h r e e space c o r r e s p o n d i n g space s i d e s space a r e space e q u a l space i n space l e n g t h 2. space S A S space minus space left parenthesis s i d e space a n g l e space s i d e right parenthesis P a i r space o f space c o r r e s p o n d i n g space s i d e s space a n d space t h e space i n c l u d e d space a n g l e space a r e space e q u a l. 3. space A S A space minus a n g l e space s i d e space a n g l e right parenthesis P a i r space o f space c o r r e s p o n d i n g space a n g l e s space a n d space i n c l u d e d space s i d e 4. space A A S space minus space left parenthesis a n g l e space a n g l e space s i d e right parenthesis P a i r space o f space c o r r e s p o n d i n g space a n g l e s space a n d space a space n o n minus i n c l u d e d space s i d e space a r e space e q u a l. 5. space R H S space minus space left parenthesis r i g h t space a n g l e space h y p o t e n u s e space s i d e right parenthesis R i g h t space t r i a n g l e s space w i t h space e q u a l space h y p o t e n u s e space a n d space t h e space c o r r e s p o n d i n g space s i d e space a r e space e q u a l.

Answered by Vimala Ramamurthy | 16th Aug, 2015, 09:18: AM

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