Question

Points A(-2, 4), B(1, 3), C(4, -1) and D form a parallelogram. What are the coordinates of D?

Answer 1

Points A(-2, 4), B(1, 3), C(4, -1) and D form a parallelogram. What are the coordinates of D?
(5, 5)
(0, 0)
(1, -2)
(1, 0)
(3, 4)

Answer 2

(1,0)
If you graph the given points, you'll see A and B were the top points and C was the bottom. I took the rise/run of B to C (-4 rise, 3 run) and used that information to find the missing point from where A was. If you like, I can explain that better.

Answer 3

thank you soo much! and yes please explain it to me because im a little confused

Answer 4

I am speaking with the assumption that you know what a parallelogram is, so I will not explain that beyond the fact that you are looking for a lopsided square. So you have the top two points of the square, and the bottom right. If you follow (and count) down the black line down to even with the bottom point, this is your "rise" (or fall when you are moving down, but they call it rise and moving down makes the value negative). Then count how many it takes to move right towards it, this is your "run".
So, from B(1,3) we moved down (negative) for points (so our rise is -4) and we moved to the right 3 points.
So our rise/run is -4/3.
We use this information to find point D. Since we used point B to find the bottom right, we use point A to find bottom left (because it is on the left).
Point A(-2,4)
x is our left to right, or our "run", so add our run(3) to it. (-2+1=1) our x
y is our up/down, or our "rise", so add our rise(-4) to it. (4+-4=0) our y
(x,y)=(1,0)