cyclic quadrilateral: AB and CD are two parallel chords of a circle with center O...

[reena07]

AB and CD are two parallel chords of a circle with center O. AD and BC meet at E. Prove that AEOC is a cyclic quadrilateral.

 

[Deleted member 4993]

AB and CD are two parallel chords of a circle with center O. AD and BC meet at E. Prove that AEOC is a cyclic quadrilateral.

What is the definition (and properties) of a cyclic quadrilateral?

 

[ksdhart2]

What are your thoughts? What have you done? I'm assuming you've already taken the obvious steps, and you've drawn a picture of the situation. Then, looking at your picture, what do you notice about AEOC? Is it a cyclical quadrilateral? Why or why not?