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consider ADC S and r are the midpoint of sides AD and DC
so, sr ll ac............ 1 st equation
consider ABC p and q are the midpoint of an and bc
so, pqllac.......... 2nd equation
from 1st and 2nd equation we get,
srllpq and sr=pq
therefore pqrs is a parallelogram the diagonals of a rhombus are perpendicular bisector so, angle TOU ( I think your figure names are different)
=90 therefore ruot is a parallelogram
so, angle URT = angle TOU =90( opp. angles are equal)
thus, pqrs is a llgm with angle r =90
therefore pqrs is a rectangle
hence, proved
your naming may be different so do accordingly and don't forget to mark me as brainliest
hope it helps you
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