Question

3. Given AB = CD. Prove that AC = DB.
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.I WILL MARK AS BRAINLIEST
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Answer 1

Answer:

Let the intersection point of the chords AB and CD be O.

Construction:- Join AD and CB

Now, in triangle AOC and DOB,

Angle AOC = Angle BOD ( Vertically opposite angles )

Angle OAC = Angle ODB ( Angles in the same segment )

Angle ACO = Angle DBO

( Angles in the same segment )

=》 Triangle AOC is congruent to triangle DOB. ( By A.A.A. criteria)

Therefore, AC = DB (By C.P.C.T.)

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Mark as Brainliest please.