SOLUTION: On a coordinate plane point D will be drawn to create a parallelogram CABD in quardant 1. What coordinates for point d would make CABD a parallelogram. the coordinates given are po

First draw the three points and connect them, like this



Sketch in the rest of the parallelogram, 
a green line from B to about where you think D
should be, and green line from C to that point D.



Think about how to to get from A to B going 
left and then up.  You'd start at A and go left
1 unit horizontally until you get to a point 
exactly under B, like the short blue line below:



Notice that when you get to the left end of that blue
line you are now directly over the 1 on the x-axis,
and directly to the right the 1 on the y-axis.

Then from there you'd have to turn and go 3 units up 
vertically to point B, like this other vertical blue line:



Notice that you are directly right of the the 4 on the y-axis.

Next do the same thing going from C to D. You had to go 1 unit
left in going from A to get under B, so you'll have to also go
1 unit to the left of C to get right under D, like this:



Notice that you are exactly above the 6 on the x-axis, and
exatly to the right of 2 on the y-axis. Now since you had to
go up 3 units to get from A to B, you'll need to go 3 units 
up from there to get to D, like this:

 

Since you had to go 3 up from being beside 2 on the y-axis, you
end up being exactly beside the 5 on the y-axis. So the point D
must be (6,5).



So now you see you could have done it in your head. You would
just notice that the point B(1,4) is 1 unit left and 3 units up
from point A(2,1), so the point D has to be 1 unit left
and 3 units up from point C(7,2), so you'd subtract 1 from the
x-coordinate of C, getting 6, and then add 3 to the y-coordinate 
of C to get 5, and you get D(6,5). Pretty easy, huh?

Edwin