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ABCD is quadrilateral which P, Q, R and S are mid point of the side AB, CB, CD andDA, AC is a diagonal
1) PROOF = R is the mid point of DC and S is the mid point.
According to mid point theorem SR//AC and. SR=1/2AC eq=1
2)Q is the mid point of BC. P IS the mid point of AB
PQ//AC
PQ=1/2 AC. EQ=2
from eq1 and2
SR=PQ
3) According to second proof SR=PQ. SR//PQ
therefore SRPQ IS a parallelogram..
Step-by-step explanation:
I hope it will help you
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