This question forms part of Coordinate Geometry
There are three vertices of a rectangle, namely:
$$A(-4,5), B(-4,2), C(3,2)$$
How would I plot these points and find the coordinates of the fourth vertex? $D(x,y)$
$\endgroup$ 11 Answer
$\begingroup$Well, interesting question ;) Anyways, I'll answer it:
Your 4 points of the rectangle are $$A(-4,5), B(-4,2), C(3,2),D(x,y)$$
From inspection, we can see that $A$ and $B$ have the same $x$ value, and it is most likely that this rectangle is not slanted as $B$ and $C$ have the same y value. Let's continue from here:
From point $B$ to point $A$, the $y$ value increased by 3, so we can say that from point $C$ to point $D$ the $y$ value should also increase by 3 units. We can therefore deduce that the $y$ value of $D = (2+3) = 5$. Which also is the $y$ value of point $A$. Now for the $x$ values...
From point $B$ to point $D$ the x value increases by 7, so we can say that the $x$ value should also increase by 7 from point $A$ to point $D$... Therefore the $x$ value of D is $(-4 + 7) = 3$ (Which is the same $x$ value as point $C$
Sometimes it is hard to understand how the graph looks by just reading the points, so let's make it graphical:
I hope this helped ;)
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