As shown in the figure, OA, ob, OC are ⊙ o radius - AC = - BC, D, e are OA, ob, are the midpoint CD and CE equal? Why is it as shown in the figure

As shown in the figure, OA, ob, OC are ⊙ o radius - AC = - BC, D, e are OA, ob, are the midpoint CD and CE equal? Why is it as shown in the figure

∵OM=0.5*OA=0.5*OB=ON,CM=CN,OC=OC
∴△OMC≌△ONC
∴∠AOC=∠BOC
‖ arc AC = arc BC