Question

In the given figure, AB and CD are equal chords of a
circle with centre O. Prove that AOB = ACOD and
ZAOB = Z COD.​

Answer 1

Answer:

Step-by-step explanation:

C(O,r) chord AB = chord CD

and OM⊥AB and ON⊥CD

To prove : ∠OMN=∠ONM

Proof : We know that equal chord of a circle are equidistant from center.  

Thus OM=ON,ΔOMN will be an isosceles triangle.  

In isosceles triangle angles opposite to equal sides are equal

Thus ∠OMN=∠ONM