Mathematics
ABCD is a rectangle in which diagonal BD bisects ∠B. Can we definitely say that ABCD is a square?
Rectilinear Figures
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Answer
In a rectangle, all angles are 90°.
Given that diagonal bisects ∠B
∠ABD = ∠DBC = 45°
This implies that the diagonal makes equal angles with sides BA and BC, which can happen only if AB = BC.
A rectangle with adjacent sides equal is a square.
Yes, ABCD is a square.
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