Prove that trapezoid inscribed in a circle is isosceles?

I have a trapezoid ABCD ...dont know how to prove digonals AC = BD? Help...

Printable View

- Dec 26th 2009, 01:49 AMwinsomeProve that trapezoid inscribed in a circle is isosceles.
Prove that trapezoid inscribed in a circle is isosceles?

I have a trapezoid ABCD ...dont know how to prove digonals AC = BD? Help... - Dec 26th 2009, 06:05 AMHallsofIvy
Draw lines from the center of thecircle to each vertex. consider the triangles formed and use the fact that the sides from the center to the vertices are all congruent. You will probably need to consider two cases: where the center of the circle is inside the trapezoid and where it isn't.

- Dec 26th 2009, 07:03 AMSoroban
Hello, winsome!

Is it really this simple?

Quote:

Prove that trapezoid inscribed in a circle is isosceles.

Code:`* * *`

A o-----------o B

*/ \*

*/ \*

/ \

D o-------------------o C

* *

* *

* *

* *

* *

* * *

- Dec 27th 2009, 07:57 PMwinsome