#1

My math teacher gave us (grade 11) a brain teaser today, and no one solved it. Since a lot of you guys here are in college or university, I figured I'd ask you guys.

Given

The red dots are the four points. Also, a line can pass throug each point once and only once, and every point must be included.

And is isn't impossible because he said he found an answer.

Given

**any**four points, how do you draw a square through them.The red dots are the four points. Also, a line can pass throug each point once and only once, and every point must be included.

And is isn't impossible because he said he found an answer.

#2

My math teacher gave us (grade 11) a brain teaser today, and no one solved it. Since a lot of you guys here are in college or university, I figured I'd ask you guys.

Given any four points, how do you draw asquarethrough them.

The red dots are the four points. Also, a line can pass throug each point once and only once, and every point must be included.

And is isn't impossible because he said he found an answer.

Tell him that he meant to write quadrilateral.

#3

I have no idea.

EDIT: You're teacher's an idiot, it's impossible.

EDIT: You're teacher's an idiot, it's impossible.

#4

hmmmmmmz wtf?

#5

Your math teacher sucks...

#6

Lol I'll call him an idiot tomorrow.

#7

I don't get the problem here, it's not hard.

#8

You said, given ANY four points, so i can place the red marks anywhere on the grid?

EDIT: if not, where are the red dots supposed to be, if the diagram is simply an example, i guess it is not accurately drawn?

EDIT: if not, where are the red dots supposed to be, if the diagram is simply an example, i guess it is not accurately drawn?

#9

You did it in the picture!

#10

yeah, i must have misunderstood it, because if i DO understand it, its pretty easy...

#11

Now tell me how he would f***ing draw a square through these points.

Not possible.

Not possible.

#12

You think in 3 dimensions. rotate the graph on the Y and Z axis and you can turn it into what you want.

#13

You did it in the picture!

That was not a square though.

#14

I win?

A square through each of the 4 points?

#15

You think in 3 dimensions. rotate the graph on the Y and Z axis and you can turn it into what you want.

That would work...if he was talking about cubes but a square is by definition a two dimensional object. There is no Z axis.

#16

That would work...if he was talking about cubes but a square is by definition a two dimensional object. There is no Z axis.

You can plot a 2D object in a 3D plain however.

Anyway, if there is a Z-axis the vertices of the square would NOT all be touching the points, as the problems said the LINES can touch any of the points not the face itself. Otherwise you could do it on the 2D plain.

#17

if the grid you drew was a square then my box would be a square too, not sure tho

*Last edited by Phorgot at Apr 15, 2008,*

#18

That would work...if he was talking about cubes but a square is by definition a two dimensional object. There is no Z axis.

You could draw a square through four points in a 3D graph.

#19

I know...but what's the point? Everything in the question is happening in two dimensions.

#20

5+a= ?

You Cant Does Math With Letters I Winz

You Cant Does Math With Letters I Winz

#21

The points can be moved anywhere, even in a straight line. You have to draw one square that goes through any four points. If you moved the points around, there'd be a method of drawing a square through them. And if you moved them again, the same method would work again.

#22

Unless the points are meant to be corners, I see no problem here.

#23

http://mathforum.org/library/drmath/view/54675.html

I found a better explination of the question, and the solution.

My math teacher is not an idiot after all.

I found a better explination of the question, and the solution.

My math teacher is not an idiot after all.

#24

Yes isn't the problem already solved in the picture? or did i not eat my wheaties today

#25

5+a= ?

You Cant Does Math With Letters I Winz

a=?-5

#26

You didnt tell us a point could be the extension of the square...