Proof

#1Given: Segement AD and BC are chords of a circle O, intersecting in Point E.
Prove: triangle AEB~CED


#2
Given: ABCD is a trapezoid with segment AB parallel to to segment DC, DC=.5(segment AB), and M is the midpoint of segment AB.
Prove: triangle AMD~CDM

Ok, I know I posted similar problems like these, but I can't do proofs...I tried googling stuff, but it's no use...I thought it'd be better if I could get just a little help...thanks friends.

If you know the Inscribed Angle Theorem you know that all inscribed angles of a given chord (on the same side of the chord) are equal. Apply that to angles DCB and DAB and chord DB to prove the angles are equal. Repeat with chord CA. AAA proves similar triangles.

AM = CD
DM = MD
<AMD = <MDC
SAS proves they are not only similar but congruant