Question 173910
Given 
Line DB Bisects Line AC    (THey meet at point e in the middle of the rectangle)
Angle 1 is congruent to Angle 2 

Prove ABCD = rectangle
<pre><font size = 4 color = "indigo"><b>

That isn't necessarily true because ABCD could be only a
parallelogram, and not necessarily a rectangle, as you can
see from the drawing below, where the same things are given:

{{{drawing(400,300,-1,5,-1,4, 

line(0,0,4,0), line(4,0,5,3), line(5,3,1,3),line(1,3,0,0),
line (0,0,5,3), line (1,3,4,0), locate(2.4,1.4,E),
locate(0,0,A), locate(4,0,B), locate(4.9,3.4,C), locate(.9,3.4,D),
locate(4.3,2.95,2),locate(.5,.3,1)
)}}}

If there is something given that you omitted, then post again.

Edwin</pre>