How to write a definition of a square in terms of points, lines and congruence? We have parallel, perpendicular terms also.
Please, help.

Question

How to write a definition of a square in terms of points, lines and congruence? We have parallel, perpendicular terms also. 
Please, help.

bloomlocke367 · Answer

Well, this isn't as hard as you may think. What specifically is troubling you? I can walk you through this if you'd like.

bloomlocke367 · Answer

@Loser66

loser66 · Answer

Thanks for this, ok, I am sorry for not being here to get help.

loser66 · Answer

I am burned by helping other student's stuff. :)

bloomlocke367 · Answer

That's okay :) would you like help now?

loser66 · Answer

yes, please

bloomlocke367 · Answer

Okay, well, hmmm how can I help without giving it away? XD

Well, I'm assuming you know what a square is, correct?

loser66 · Answer

yes, I do

bloomlocke367 · Answer

Well, to get the first part of your problem, how many points and lines are there in a square?

loser66 · Answer

4points and 4 lines

bloomlocke367 · Answer

yes, so you can start with 'a square is a shape with 4 points and 4 lines....' How many sides are congruent in a square?

loser66 · Answer

4

bloomlocke367 · Answer

yes so you can say 'a square is a shape with 4 points and 4 lines where all lines are congruent...' or something else that means the same thing.

loser66 · Answer

No, it turns to a rhombus.

bloomlocke367 · Answer

What?  We aren't done yet. It wouldn't be a rhombus... well, squares are rhombuses but we can make the definition even more precise.

loser66 · Answer

ok, next?

bloomlocke367 · Answer

You also have the terms parallel and perpendicular to use.

bloomlocke367 · Answer

How many sides are parallel and how many are perpendicular?

loser66 · Answer

2 parallel and 4 perpendicular

bloomlocke367 · Answer

yes, now include that into your definition. :)

loser66 · Answer

How?

bloomlocke367 · Answer

Well, I don't want to give you the answer XD Just try adding on to what we have and I can help you adjust it if needed.

loser66 · Answer

I need a definition from the given information. I don't want to describe it.

bloomlocke367 · Answer

That's how you would define it.. but describing it.

loser66 · Answer

If the definition has something new, then it turns circulation argument. I don't want it. Like: A square is a rhombus which ....., so, I have to define what is a rhombus.....

bloomlocke367 · Answer

We don't have to include rhombus. Look at what we already have. It won't turn into a circulation argument.

loser66 · Answer

Ok, let me try. Thanks for the help.

bloomlocke367 · Answer

You're welcome :)