Prove that if two non-intersecting, non-parallel chords of the same circle are congruent, then they wll be the legs of an inscribed isosceles trapezoid. Please i really need help on this geometry proof!!

Question

anonymous · Answer

Please I seriously need help!

hero · Answer

In order to do the proof, you'll have to draw the circle with the given chords and set them equal to each other. Then you'll have to add points and draw in the segments. The rest of the proof sucks because you'll have to somehow prove that what you have left is indeed an inscribed isosceles trapezoid. But that's nothing compared to what you'll have to do to prove the segments you added are parallel to each other. 

Start with trying to prove that the figure you drew is at least an inscribed figure. Say stuff like points a,b,c,d are on the circle. abcd is a polygon. So you prove in the following order: 

points abcd is on the circle, 
abcd is a polygon,
polygon abcd is inscribed on the circle, 
segments parallel top and bottom
polygon abcd is a trapezoid 
trapezoid abcd is inscribed