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)

Answer 1

@just_one_last_goodbye

Answer 2

Are you working on analytic geometry or transformations?

Answer 3

idk

Answer 4

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

Answer 5

idk

Answer 6

What are you currently learning in math?

Answer 7

this

Answer 8

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

Answer 9

hmmmmm i cant remember what it is called

Answer 10

@iGreen

Answer 11

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.

Answer 12

ya that is what it is called the first one

Answer 13

Ok, that's analytic geometry.

Answer 14

yep

Answer 15

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

Answer 16

no

Answer 17

i think the anser is c

Answer 18

What make you think it's C?

Answer 19

i try to get the 4th vortex

Answer 20

and that is what i got

Answer 21

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

Answer 22

idk this is just what i got

Answer 23

guess?

Answer 24

no i dident guess

Answer 25

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.

Answer 26

i did and got c

Answer 27

i am ganna check

Answer 28

by looking it up

Answer 29

brb

Answer 30

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

Answer 31

ya just looked it up thx

Answer 32

You're welcome! :)