Parallelogram is a quadrilateral with equal diagonals. The statement BO = 7.8 cm is the only false statement
Properties of a parallelogram
From the given diagram, the opposite sides and angle of the figure are the same but the diagonals are not equal. This shows that:
m<B = m<D
m<A = m<C
Since the diagonals are not equal that is BD is not equal to AC, hence:
OB ≠ OC
Hence the statement BO = 7.8 cm is the only false statement
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