Question

Prove that, equal chords of a circle subtend equal angles at the centre.​

Answer 1

Step-by-step explanation:

EQUAL CHORDS SUBTENDS EQUAL ANGLE

AS THEY ARE ARE EQUIDISTANT FROM THE CENTRE BOTH CHORDS ARE

EQUAL.

EXPLAIN THIS BREIFLY FOR 3 OR 2 OR 4 MARKS

Answer 2

Answer:

Hi there,

Given:  AB and CD are equal chords of the same circle with center as O.

To prove: angle AOB = angle COD

Proof:   In triangle AOB and triangle COD.

             AO = CO (radii of the same circle)

             AB = CD (given)

             OB = OC (radii of the same circle)

Therefore triangle AOB is congruent to triangle COD by SAS congruence rule..

This implies  angle AOB is equal to angle COD....

                                        Hence proved...

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