Show that a diagonal of a parallelogram divides it into two congruent triangles.
(Hint: Use SSS congruence criterion)
it should not copyed from google
only sss congruence criterion method should be used
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in a parallelogram ABCD , let BD Be the diagonal ;
and the diagonal divides the parallelogram into 2 triangles BAD and DCB
in triangle BAD and DCB
BD = BD ( COMMON SIDE )
AB = CD ( OPPOSITE SIDES ARE EQUAL )
AD = BC ( OPPOSITE SIDES ARE EQUAL )
FROM THE ABOVE EQUATION ,
BAD ~= DCB
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