SOLUTION: "Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the forth vertex." (-4,8) Top left (2,6) top right (?, ?) bottom left (5,-3) bottom

Algebra ->  Parallelograms -> SOLUTION: "Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the forth vertex." (-4,8) Top left (2,6) top right (?, ?) bottom left (5,-3) bottom       Log On


   



Question 746030: "Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the forth vertex."
(-4,8) Top left
(2,6) top right
(?, ?) bottom left
(5,-3) bottom right

Answer by Edwin McCravy(20077) About Me  (Show Source):
You can put this solution on YOUR website!
"Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex."
(-4,8) Top left
(2,6) top right
(?, ?) bottom left
(5,-3) bottom right


Next we draw a horizontal (red) line from (2,6) left until we are directly
below the point (-4,8):

Next we draw a vertical (red) line up to the point (-4,8):

Now observe, by counting blocks, (1) that the horizontal red line goes
6 units left of (2,6), and that (2) the vertical line goes 2 units up
to the point (4,8).
Next, we do the same thing at the lower right point (5,-3).
We draw a red horizontal line 6 uints left of (5,-3) and then
2 unites upward, like this:

By counting blocks we see that that red vertical line ended up at (1,1),
so that's the answer. Now we can draw in the complete parallelogram:

Edwin