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Step-by-step explanation:
Ans:1)AB and CD bisect each other.
Now, Join AC and BD so that they form two triangles.
In Triangles ACK and KBD:-
AK = KB ( AB and CD bisect each other)
CK = KD ( AB and CD bisect each other)
∠CKA = ∠DKB (Vertically Opposite Angles)
Here, we have 2 sides and and one angle between them equal in both the triangles.
Hence, ΔACK ≅ ΔDKB ...(SAS)
Therefore, AC = BD ...(CPCT)
Ans:2)
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