Question

equal chords of a circle subtend equal angles at the centre​

Answer 1

Step-by-step explanation:

let AB andCD be the chords of a circle with centre 0

where angle AOB is equal to angle COD

To prove:AB equal toCD

Proof: in triangle AOB and triangleCOD,we have

OA equal to OC (radii of a circle)

angle AOB equal to angleCOD

OB equal to OD(radii of a circle)

therefore triangle AOB congruent to triangleCOD(by SAS rule)

therefore AB equal toCD (by cpct)