Question

@ganeshie8
How can I write a definition of a square in terms of points, lines, parallel, perpendicular and congruence?
Please, help
I don't want to describe it.

Answer 1

I have "incidence" also.

Answer 2

Haha! I don't want to either. But that's not a good reason to ask others to do it for you.

Answer 3

@ospreytriple If I don't know how to, I am a right to ask. A bunch of definition on internet, right?

Answer 4

and I am not as good as you to know everything. :)

Answer 5

Sorry if I offended you @Loser66 . I was commenting on your statement "I don't want to describe it."

Answer 6

Yes, you did offend me. hehehe... but I am cool because you point out how stupid I am and it is true.

Answer 7

You know what a square is. I would start b y writing something out in plain English and then working the mathematical terminology into it.

Answer 8

A pair of parallel lines perpendicular to another pair of parallel lines at 4 points with equidistant sides forms a geometry called a square.
right?

Answer 9

hahaha.... my bad English!!

Answer 10

teamviewer?

Answer 11

again? yes.

Answer 12

I already helped you with this question..

Answer 13

@BloomLocke367 I appreciate what you did but I didn't satisfy with it.

Answer 14

|x| = a and |y| = a

does that work

Answer 15

if not, may i know what exactly are you looking for

Answer 16

if you say |x|, then I must define the | | term.

Answer 17

We have "congruence" is undefined term on our definition.

Answer 18

go ahead define them
shouldnt be hard

Answer 19

so, before giving out the definition of a square, I must add the definition of | | term, rightg?

Answer 20

if so, why not a quadrilateral or a rhombus? It is quite easier, right?

Answer 21

How about defining the four vertices as \((x_1, y_1), (x_2, y_2), (x_3, y_3), x_4, y_4)\) such that \(x_1=x_3\), \(x_2=x_4\), \(y_1=y_2\), and \(y_3=y_4\). Then you have to add the appropriate line segment connecting the correct vertices. That do it?

Answer 22

let me just tag @Concentrationalizing

Answer 23

Thanks

Answer 24

Hate to be a nitpicker, but the sides of a square are line segments, not lines.Is line segment not permissible in the definition?

Answer 25

I did for a circle, it is a set of points whose equidistant from a fixed point

Answer 26

You might want to constrain your circle definition to a 2-dimensional figure. Otherwise, you'll end up with a sphere.