Help with this proof. click for details and link for diagram.?

Question

Given: Circle Z.
Seg. AE congruent Seg. DB
Conclude: Triangle ACD congruent Triangle BCE

go here for diagram. http://i11.tinypic.com/2m2e4jt.jpg


Thankss

Answer 1

(1) arc AE is congruent to arc DB (congruent segments subtend congruent arcs).

(2) arc AD = arc DB - arc AB = [by (1)] arc AE - arc AB = arc BE

(3) by (2), segments AD and BE subtend congruent arcs and are therefore congruent.

(4) by (3), given seg. AE congruent to seg. DB, and SSS criterion, triangles ABD and BAE are congruent. (Segment AB isn't drawn but so what?)

(5) Angles ADC (=
(6) Angles ACD and BCE are also congruent (opposite angles)

(7) By (3), (5), (6) and AAS criterion, triangles ACD and BCE are congruent. QED.

Answer 2

1. circle Z, AE congruent DB 1. Given
2. angle ACD congruent angle BCE 2. Vert. angles are congruent
3. AD congruent BE 3. sides opposite cong. angles are cong.
4. tri. ACD congruent tri. BCE 4. SAS


i'm pretty sure maybe little wrong but i think i got it?

Answer 3

1) Inscribed angle Theorem :Corollaries
3) Angle inscribed in the same arc are congruent .
i) m CAB = ½ m(arc CXB) ------- By inscribed angle theorem
ii) m CDB = ½ m(arc CXB)
iii) m CAB = m CDB,
i.e. CAB CDB ------- From (1) and (2)

Answer 4

With the information you're giving is, it can't be proven. It is true on this drawing, but you could move the segments around so they don't cross there and it wouldn't work anymore.