Question 690844
<pre>
The diagonals of a rhombus are NOT congruent (unless the
rhombus happens to be a square.)  A rhombus is a diamond-shaped
quadrilateral like this:

       {{{drawing(100,200,-1,1,-1,1,line(-1,0,0,1),
line(1,0,0,1),line(1,0,0,-1),line(-1,0,0,-1),green(line(0,1,0,-1)),
green(line(-1,0,1,0))

)}}}

You can easily see that those two green line above are NOT
congruent.  The only exception is when the rhombus is a
square as shown below -- then they are CONGRUENT.  But
they are not CONGRUENT in general.

       {{{drawing(200,200,-1,1,-1,1,line(-1,0,0,1),
line(1,0,0,1),line(1,0,0,-1),line(-1,0,0,-1),green(line(0,1,0,-1)),
green(line(-1,0,1,0))

)}}}

Edwin</pre>