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(A) The given statement is True.In two congruent circles,the radii are equal. Let the radius of both circles be $r$.In $	riangle AOB$ and $	riangle

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(A) The given statement is True.In two congruent circles,the radii are equal. Let the radius of both circles be $r$.In $	riangle AOB$ and $	riangle AO^{\prime}B$:$OA = O^{\prime}A = r$ (radii of congruent circles)$OB = O^{\prime}B = r$ (radii of congruent circles)$AB = AB$ (common chord)By the $SSS$ (Side-Side-Side) congruence criterion,$	riangle AOB \cong 	riangle AO^{\prime}B$.Since the triangles are congruent,their corresponding angles are equal by $CPCT$ (Corresponding Parts of Congruent Triangles).Therefore,$\angle AOB = \angle AO^{\prime}B$.

Write True or False and justify your answer in each of the following:
Two congruent circles with centres $O$ and $O^{\prime}$ intersect at two points $A$ and $B$. Then $\angle AOB = \angle AO^{\prime}B$.

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Write True or False and justify your answer in each of the following:Two congruent circles with centres $O$ and $O^{\prime}$ intersect at two points $A$ and $B$. Then $\angle AOB = \angle AO^{\prime}B$.