Choose whether the given statement is true/false:

Equal chords of a circle subtend equal angles at the centre.

We know that the central angle is the angle subtended at the centre of the circle.

Here, we have drawn a circle with centre O.

 $AB$ and $CD$ are equal chords of the circle.

From the figure, we have,

OA = OC    [Radii of a circle]

OB = OD    [Radii of a circle]

AB = CD     [Given]

 Therefore, $△AOB\cong ∆COD$    [SSS rule]

So, by corresponding parts of congruent triangles,

$\angle AOB=\angle COD$

Now, it is clear that the equal chords of a circle subtend equal angles at the centre.

Hence, the given statement is true.