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)

- anonymous

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

- katieb

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- anonymous

@just_one_last_goodbye

- mathmate

Are you working on analytic geometry or transformations?

- anonymous

idk

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- mathmate

Oh well, how do you intend to solve the problem?

- anonymous

idk

- mathmate

What are you currently learning in math?

- anonymous

this

- mathmate

Ok, your teacher gave you this problem at one point in time.
So what did you learn before that?

- anonymous

hmmmmm i cant remember what it is called

- anonymous

@iGreen

- mathmate

Have you learned about lines,points, parallel lines?
Have you learned about properties of a rectangle?
Have you learned about rotations, reflections, translations?
Tell me any and everything you have learned from the above.

- anonymous

ya that is what it is called the first one

- mathmate

Ok, that's analytic geometry.

- anonymous

yep

- mathmate

Do you know the properties of a rectangle? Like
- opposite sides parallel
- adjacent sides perpendicular
...

- anonymous

no

- anonymous

i think the anser is c

- mathmate

What make you think it's C?

- anonymous

i try to get the 4th vortex

- anonymous

and that is what i got

- mathmate

How did you find it to be C, and not A, B, or D?

- anonymous

idk this is just what i got

- mathmate

guess?

- anonymous

no i dident guess

- mathmate

|dw:1433167776197:dw|

- mathmate

One way to solve it is by graphing it (see above)
Another way is to calculate the coordinates using analytic geometry, that might take 4-6 minutes.
The third way is to use a 180 rotation about the centre of the rectangle, that takes about 20 seconds.

- anonymous

i did and got c

- anonymous

i am ganna check

- anonymous

by looking it up

- anonymous

brb

- mathmate

Good, (-4,1) is correct.
Please use the answer instead of the letter preceding the answer to avoid miscommunication.

- anonymous

ya just looked it up thx

- mathmate

You're welcome! :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.