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Q.

Diagonals necessarily bisect opposite angles in a ____.


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Detailed Solution

Diagonals necessarily bisect opposite angles in a square.
Assume that ABCD is a square with diagonal AD .
In ΔABD and ΔCBD, the data regarding the equal opposite sides of a square, common can be written as:
Question Image AD=BC BD=BD AB=DC By SSS congruence rule,
ΔABD≅ΔCBD Use corresponding parts of congruent triangles property.
∠ABD =∠CBD ∠ADB =∠CDB Therefore, in a square ABCD , the diagonals bisect the opposite angles.
Hence, the required answer is square.
 
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