Question 1155397: The coordinates of three of the vertices of a parallelogram are given. Find the possible coordinates for the fourth vertex. L(0,4), M(6, 0), N(2, 4).
Please explain how to find all the possible coordinates for the fourth vertex.
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
given:
L( , ), -> lie on horizontal line-
M( , ), -> lie on vertical line-
N( , ) -> lie on horizontal line-, two units to the right from 
if a parallelogram  , opposite sides are parallel and congruent: so,
 and 
distance from L to N is units
=> distance from P to M is units
since the line that contains and  is parallel to the line that contains  and  , point must be units left from the point
so, the possible coordinates for the fourth vertex are:
(, )
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