Question

the coordinates of parallelogram UVWZ are U(a,0), W(c-a,b), and Z(c,0). find the coordinates of V without using any new variables. Can someone help me out please and thank you

Answer 1

the diagonals of paralleogram bisects each other so mid point of UW and VZ are same. use this condition to find V

Answer 2

mid point of UW=(c/2,a/2)
so mid point of VZ=(c/2,a/2)
let v=(x,y)
so mid point of VZ=((c+x)/2,y/2)
now (c+x)/2=c/2 x=0
y/2=a/2
y=a
V=(0,a)

Answer 3

thanks for the help

Answer 4

one thing i noticed, the midpoint should be (c/2, b/2)
yielding V= (0,b)
Also you could use the fact that the distance is same for UZ and VW
distance = c-a
since they are parallel the y coordinate remains b
(c-a) - (c-a) = 0
thus V= (0,b)