Question 1197662
<font color="red">2 hours, 30 minutes</font>
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Hi  
Show in two ways that (-3,2), (-6,-2), (-1,-2) and (2,2) are the vertices of a rhombus.
I.  Opposites Sides Parallel: 
Horizontal Sides Parallel and Slanted Sides, m= 4/3 for both 
II. Sides of Equal Lengths:
Use D = {{{ sqrt ( (x[1]-x[2])^2+ (y[1]-y[2])^2 ) }}}:
 to show the sides are of Equal length:
For Example: AB = {{{sqrt(3^2 +4^2)}}} = 5


{{{drawing(300,300,-7,7,-5,10, grid(1),
locate(-3,2.5,A), locate(-6.5,-2,B), locate(-1.5,-2,C), locate(2,2.5,D),
green(line(-3,2,-6,-2)), green(line(-6,-2,-1,-2)),green(line(-1,-2,2,2)),
green(line(-3,2,2,2)) ))  )}}}

Wish You the Best in your Studies.
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