Question

O is the centre of the circle. AB is a chord of the circle. Angle subtended by the chord at the center and the angle subtended by minor arc AB are equal. Is it true or false?

True

False


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Answer 1

Answer:

True

hope it's helpful to you

Answer 2

Answer:

It is true

Step-by-step explanation:

Let us consider two chords of a circle with centre O as shown the two chords beAB and CD

As given in this question two chords are equal so

AB=CD

To prove:∠AOB=∠DOC

Now let us consider the△AOB and △DOC

AO=OD (radius of the circle )

AB=CD ( given )

$$ OB = OC (radius of circle )

∴ΔAOB≅ΔDOC (SSS congruency rule )

∴∠AOB=∠DOC

Hence, poved.

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