# Circle geometry help

• February 9th 2013, 09:30 PM
job
Circle geometry help
AB and AC are equal chords of a circle. AD and BE are parallel chords through A and B respectively. Prove that AE is parallel to CD. Please help!
• February 10th 2013, 04:19 AM
Plato
Re: Circle geometry help
Quote:

Originally Posted by job
AB and AC are equal chords of a circle. AD and BE are parallel chords through A and B respectively. Prove that AE is parallel to CD. Please help!

Of course, you have drawn a diagram?

If I were you, I would work to show that $m(\angle EAC) = m(\angle ACD)$.

There $m(\angle EAC)$ stands for the measure of the angle.

Recall that cords of equal length subtend arcs of equal measure.
• February 10th 2013, 09:15 PM
job
Re: Circle geometry help
Yes thank you for your suggestion but worked it out soon after posting the message. Thanks anyway!