if you know

Simple, the bigger the font, the larger the area of red is.

thanks the grobe,so that means if the word ''strategic'' in the sentence modify the word ''importance'' in the sentence,so this means that the word ''importance'' in the sentence is related to strategy.because you said before that the meaning of the word ''strategic'' is related to strategy.am i wrong or not?.i wait again to your response the grobe.

Well a square can be a rectangle but a rectangle can't always be a square.

Well a rectangle refers to a 4 sided shape with 4 90 degree angles, regardless of side lengths.

Anyway, the point I'm making is that the word "strategic" in this case described the nature of the "importance", whereas importance itself is not describing strategic.

BorgQueen I think you have been given the sack and now is look like TheGrobe has gotten the job. !?

Oh dear! No wonder kurogkug didn't grasp the explanations.

RECTANGLE: 

• Opposite sides are parallel and congruent 
• The diagonals bisect each other
• The diagonals are congruent

Yes the word "importance" in the sentence is related to the word "strategic", and as a result related to a strategy.

It is of the utmost importance that you understand that it's only related to strategy for that sentence, however.

You can have it back if you like.  I'm off for three weeks starting tonight....

You sound like a little brother, offering to let his older brother take back the chore of splitting wood or washing dishes.  I'm willing to bet BQ doesn't relish the prospect.

I think a square can also be a rhombus...

Quite so. A chessboard is made up of 64 rhombi. ("Not a lot of people know that." - Michael Caine)

That is not the definition of a rectangle. Formally, a simple rectangle (normally just called a rectangle in Euclidean geometry) is a quadrilateral (i.e. a 4-gon) with four right angles.

A complex rectangle is a self-intersecting quadrilateral with the same vertex arrangement as a simple rectangle (that is, the vertices all lie on a simple rectangle, but are not simply connected).

Simple rectangles do satisfy the three properties you described, among others, but complex rectangles in general do not. Regardless, there is no need to list those three properties for the definition when "four right angles" suffices.

mhm mhm

Also note that simple rectangls only satisfy those properties in Euclidean geometry. On a sphere, for example, opposite sides of a rectangle are clearly not congruent in general, and cannot be parallel because NO great circles are parallel. I don't think the diagonals bisect eachother, either (although they are congruent).

So a complex rectangle is a rectangle with all 4 corners detached ?

so like this

_____
I       I
_____

I just wanted to applause your excellent Machiavellian parable, BorgQueen!
However, your aliens are somewhat Wellsian in their hypothetical stratagem of hovering around in the sky over Nuclear bases and what have you.  I mean to say that your aliens are stratagemically superannuated, nevertheless showing astute ratiocination.  In no way am I discouraging the reading of H.G. Wells.

I'm simply saying that warfare has evolved into something more clandestine since the birth of flight; though admittedly, should you believe in Al-Qaeda, you must believe effectualness lies in retrogradingly simplistic earthbound tactics.  The historicity of terrorism may back this point up.  

Picture a Borg ship being taken down by a caveman with a rock.  But really, do you believe in poverty stricken aliens?  They would have to be indwelling--in the Earth.  They could not afford travel!  Middle Earth, yes, as multitudinous as worms and much less pleasant smelling (the poor always smell--Kissinger always calls us the filthy masses)

Were I a postmodern materialist alien race, I would first gain control of the Earth's elite, (not the politicians, the bankers) who in turn control the politicians, media, and thus the masses (despite your silly so-called Capitalism and imagined Democracy).

I then would would fluoridate the water and begin churning out retroviruses such as the recently discovered XMR virus.  Through various channels of creative destruction, including economic failure by design, false political and moral polarizations (divide and conquer), sickness (helped by FDA stamped GMOs spreading diabetes and cancer) and the never-will-cure-you-pharmaceuticals (the most yield coming from psychotropics and opiate based painkillers), I would end all human desire to live.  I then would land my ship and present myself as the Savior.

I would not make resistance ineffectual.  I would keep you blind to anything to resist.  Unfortunately, not really a plausible plan in chess.

No, it is a self-intersecting polygon whose vertices lie on a simple rectangle. Like this:

______
\      /
  \   /
    X
  /   \
/____\

Note that the vertices lie on a rectangle (the point of intersection in the middle isn't a vertex, just a point where the edges of the rectangle intersect.

Essentially, the vertices define the rectangle. Whether you connect them simply (with non-intersecting line segments) or non-simply (with intersecting line segments) determines whether or not it is a simple rectangle.

So... an alien ship should be landing right about now, right?

This looks like something I could find on a postmodern essay generator, except all the words of more than three syllables have been replaced with words that look sort of similar, but do not mean the same thing (e.g. "historicity" instead of "history").

oh I get it now. But when would you ever come across the practical application of a complex rectangle, or is it an imaginary shape? like how you can't square root negatives unless it equals i.