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)

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)

josephinevessey · Answer

@pink33  @purple_pink  @baitcaster13

purple_pink · Answer

is there a grid?

josephinevessey · Answer

no... it did not show me any but i yeah no..

aveline · Answer

The other x value is -4 since the origin splits the rectangle perfectly.
If you can find the x value, can you find the y value?

josephinevessey · Answer

i will try to

josephinevessey · Answer

um... b?

aveline · Answer

Not quite, try finding the distance between the points you need

josephinevessey · Answer

ah!!! um.. a?? i think it is a.... i doubt it

aveline · Answer

How do you move from (4,0) to (2,-3)?
Don't you go left two and down three?
Apply this to the other coordinate

josephinevessey · Answer

a is -4 , -1

aveline · Answer

Let's move (–2, 4) left two units:
=(-4,4)
Now, let's move it down three units
=(-4,1)

You may find it easiest/fastest to use graphing paper and solving the problem visually.