Three vertices of a rectangle are given. Find the coordinates of the fourth vertex.

(–2, 4), (4, 0), (2, –3)

A.
(–4, –1)

B.
(–4, 0)

C.
(–4, 1)

D.
(–4, 2)
@chosenmatt

Question

Three vertices of a rectangle are given. Find the coordinates of the fourth vertex. 

(–2, 4), (4, 0), (2, –3)
 
 A.
(–4, –1)
 
 B.
(–4, 0)
 
 C.
(–4, 1)
 
 D.
(–4, 2)
@chosenmatt

anonymous · Answer

What do you think the answer is and why?

anonymous · Answer

It would be easy to do this if you use a coordinate plane and put the given vertices on.

anonymous · Answer

well i was doing it on a coordinate plane but what ever i tried didnt work so i dont have a guess really

anonymous · Answer

I will use the program GeoGebra to help with this, give me a second

anonymous · Answer

ok

anonymous · Answer

Ok, I put all the coordinates (answers and given) into geogebra and the only reasonable coordinate that fully created a rectangle was (-4, 1)

anonymous · Answer

ok thank you

anonymous · Answer

Here's the picture for reference

anonymous · Answer

And you're very welcome :)