SOLUTION: hi im really stuck on a difficult Question ! It asks to find the co ordinates of point B on a parrallelogram, with points A (2,7), Point C (6,3) and point D ( 1,3) the answer

Algebra ->  Parallelograms -> SOLUTION: hi im really stuck on a difficult Question ! It asks to find the co ordinates of point B on a parrallelogram, with points A (2,7), Point C (6,3) and point D ( 1,3) the answer       Log On


   

Question 323114: hi im really stuck on a difficult Question !
It asks to find the co ordinates of point B on a parrallelogram, with points A (2,7), Point C (6,3) and point D ( 1,3)
the answer is (7,7) please help asap!
thankyou
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The best way is to plot the points on a graph, then
use the fact that opposite sides of the parallelogram
are parallel and equal length
You can reason it out, also.
Take the points C(6,3) and D(1,3)
The y's of both points are the same y+=+3
That means the line connecting these points is horizontal
Also note the x's differ by 6+-+1+=+5
That means the side opposite is 5 units long
and is also horizontal
You are given the other point A(2,7)
To make a horizontal line, point B must look like
B(x,7), and the line AB must be 5 units long
That means x+=+2+%2B+5 or x+=+7
Therefore B(7,7) is the missing point