what is CPCT ? WHERE IT IS USED  ?

Asked by prakritiprakash12 | 16th Aug, 2015, 07:51: PM

Expert Answer:

C P C T equals C o r r e s p o n d i n g space P a r t s space o f space t h e space C o n g r u e n t space T r i a n g l e s space N o w space c o n s i d e r space t h e space f o l l o w i n g space f i g u r e.
I n space t h e space a b o v e space f i g u r e comma space triangle A B C space i s space c o n g r u e n t space t o space triangle F E D C o n g r u e n c y space m e a n s space e q u a l i t y. I f comma space a l l space t h e space p a r t s space o f space o n e space t r i a n g l e space a r e space e q u a l space t o space t h e space c o r r e s p o n d i n g space p a r t s space o f space t h e space o t h e r space t r i a n g l e comma space t h e n t h o s e space t w o space t r i a n g l e s space a r e space c o n g r u e n t space t o space e a c h space o t h e r. C o n g r u e n c y space i s space d e n o t e d space b y space approximately equal to space t h i s space s y m b o l T h u s comma space w e space h a v e comma space triangle A B C approximately equal to triangle F E D T h e r e f o r e comma space w e space h a v e comma space l e n g t h open parentheses A B close parentheses equals l e n g t h open parentheses F E close parentheses l e n g t h open parentheses B C close parentheses equals l e n g t h open parentheses E D close parentheses l e n g t h open parentheses A C close parentheses equals l e n g t h open parentheses F D close parentheses angle A equals angle F angle B equals angle E angle C equals angle D M e n t i o n e d space a b o v e space a r e space t h e space p a r t s space o f space t h e space t r i a n g l e space A B C space a n d space t h e space c o r r e s p o n d i n g space p a r t s space o f space t h e space t r i a n g l e space F E D. S i n c e space t h e space t r i a n g l e s space a r e space c o n g r u e n t comma space t h e space c o r r e s p o n d i n g space p a r t s space a r e space a l s o space e q u a l. T h e space t e r m space C P C T space i s space u s e d space i n space c o n g r u e n c y space o f space t r i a n g l e s.

Answered by Vimala Ramamurthy | 17th Aug, 2015, 09:06: AM

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