Question 363855
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Hi, 
*Note: UK definition of a Trapezium is that two opposite sides are parallel
b. Show by Calculation its a Trapezium
using {{{m =(y[2] - y[1])/(x[2] - x[1])}}}
mBC = (-2/10) Or (-1/5) and mAD = (-1/5) those sides are parellel
c. Find the co-ordinates of E when ABCE is a parallelogram
mAB = 1 and mCE = 1 as they will be parallel sides. 
PtA to ptB is up 3, to the right 3.  PtE (8,6) "up 3 & to the right 3 from " Pt(5,3)
{{{drawing(500, 500, -10, 10, -10, 10,
line(-2,8,-5,5),
line(-5,5,5,3),
line(5,3,3,7),
line(5,3,8,6),
line(-2,8,8,6),
line(3,7,-2,8),
locate(-2.3,8.4,"A"),
locate(-5.3,5.4,"B"),
locate(5.3,3.1,"C"),
locate(3.3,7.1,"D"),
locate(8.3,6.1,""),grid(1),
graph( 500, 500, -10, 10, -10,10 ))}}}