Given, in a rectangle ABCD, diagonal BDl bisects ∠B.
Now, join AC.
In ΔBAD and ΔBCD,
∠ABD = ∠CBD
∠A = ∠C = 90
And BD = BD (common)
AB = BC
And AD = CD
But in rectangle opposite sides are equal,
AB = CD
And BC = AD
AB = BC = CD = DA
So, ABCD is a square.
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