SOLUTION: 1.A quadrilateral has vertices A(-2,8) B(-5,5) C(5,3) D(3,7) a. Draw the Quadrilateral - Dont worry about this I have done it. b. Show by Calculation its a Trapezium c. Find

Algebra ->  Length-and-distance -> SOLUTION: 1.A quadrilateral has vertices A(-2,8) B(-5,5) C(5,3) D(3,7) a. Draw the Quadrilateral - Dont worry about this I have done it. b. Show by Calculation its a Trapezium c. Find       Log On


   

Question 363855: 1.A quadrilateral has vertices A(-2,8) B(-5,5) C(5,3) D(3,7)
a. Draw the Quadrilateral - Dont worry about this I have done it.
b. Show by Calculation its a Trapezium
c. Find the co-ordinates of E when ABCE is a parallelogram
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

*Note: UK definition of a Trapezium is that two opposite sides are parallel

b. Show by Calculation its a Trapezium

using m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29

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)