SOLUTION: The coordinates of three of the vertices of a parallelogram are given. Find all the possible coordinates for the fourth vertex. L(0,4), M(6, 0), N(2, 4)

Algebra ->  Parallelograms -> SOLUTION: The coordinates of three of the vertices of a parallelogram are given. Find all the possible coordinates for the fourth vertex. L(0,4), M(6, 0), N(2, 4)      Log On


   



Question 1159130: The coordinates of three of the vertices of a parallelogram are given. Find all the possible coordinates for the fourth vertex. L(0,4), M(6, 0), N(2, 4)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given:
L(0,4),
M(6,+0),
N(2, 4)
to find: O (x,y)
first draw a picture:

since distance between L(0,4) and N(2, 4) is 2 units, and LN=OM, the distance between fourth vertice O and M(6,+0) will be also 2 units to the left
if M(6,+0) 2 units to the left will be at point (4,0)
so, fourth vertice is at (4,0)
put is on a graph