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Mathematics 19 Online
OpenStudy (anonymous):

Which statement is true?

OpenStudy (anonymous):

All rectangles are quadrilaterals. All quadrilaterals are rectangles. All quadrilaterals are parallelograms. All quadrilaterals are shares.

OpenStudy (yttrium):

All rectangles are quadrilaterals.

OpenStudy (anonymous):

Can you help on another..

OpenStudy (yttrium):

There's no rectangle that is less/more than 4 sides. Hence, they are all and always quadrilaterals. Sure, I can.

OpenStudy (anonymous):

ohh okay A square is (blank) a rectangle Always sometimes never inconclusive (Not enough info)

OpenStudy (yttrium):

always

OpenStudy (anonymous):

I was kinda thinking never also

OpenStudy (anonymous):

Why is it always

OpenStudy (yttrium):

You both are wrong.

OpenStudy (anonymous):

wait why though do you have an explanation….

OpenStudy (yttrium):

Okay. A square must have 4 equal sides. A rectangle has to have four sides, sides parallel from each other must be the same length, which a square exhibits that property. A rectangle must have 90 degree interior angles, which a square does have.

OpenStudy (yttrium):

Aside from that, you have told that. Properties of rectangles are: Opposite sides are parallel and congruent The diagonals bisect each other The diagonals are congruent Square also does have all of these properties.

OpenStudy (anonymous):

However a square is a rhombus and a rectangle is not

OpenStudy (yttrium):

@annas, though square has all four sides parallel and congruent, still, the two pairs of sides of square are parallel and congruent, right? @Camibayybee Yes, square is a rhombus since it has 4 equal sides and for equal interior angles. But a rhombus will never be a square since rhombus has oblique angles.

OpenStudy (yttrium):

Can you prove?

OpenStudy (yttrium):

Lol. That is not true. Square is always a rectangle.

OpenStudy (yttrium):

@hartnn , what can you say about this. this hh person don't believe me. >,<

OpenStudy (anonymous):

Guys its okay

OpenStudy (anonymous):

Just leave it I closed the question

hartnn (hartnn):

properties of a quadrilateral are subset of properties of a rectangle, thats why we say all rectangles are quadrilateral. in same way, properties of rectangle are subset of properties of square, so we must conclude, all squares are rectangle :)

hartnn (hartnn):

its like saying all squares are always rectangles with some more properties.

OpenStudy (anonymous):

Then why don't they just call a square a rectangle is its basically the same thing

hartnn (hartnn):

because of those "extra" properties that square has, its unique. and must be called as square only

OpenStudy (anonymous):

Exactly

OpenStudy (anonymous):

So therefore A square is not a rectangle

OpenStudy (anonymous):

Farewelll

hartnn (hartnn):

we are NOT discussing what a square can be "called" we are discussing whether a square has ALL THE PROPERTIES of rectangle or not?? if it has all properties, we can safely conclude that all squares behave like rectangles too

OpenStudy (anonymous):

Then why was your friend saying A square is always a rectangle?

OpenStudy (anonymous):

If it is only a rectangle sometimes?

OpenStudy (anonymous):

But why not

OpenStudy (anonymous):

if it does have all the properties of a square???

hartnn (hartnn):

correction, a rectangle will be a square if its a rhombus too, like when all sides of rectangle are equal. So a rectangle is SOMETIMES a square, but a square is always a rectangle.

OpenStudy (anonymous):

No no no

hartnn (hartnn):

A rect does NOT have all properties of square. so its sometimes square (when all sides equal) A square always has all properties of rect. so its always a rect

OpenStudy (anonymous):

But a square has sides that are equal

OpenStudy (anonymous):

unlike a rectangle

hartnn (hartnn):

that makes rectangle NOT square. that doesn't make square NOT rectangle. still that square has all properties of rect.

hartnn (hartnn):

"a square has sides that are equal" which makes some rectangles as NOT squares.

OpenStudy (anonymous):

That doesn't make sense!!!!!!!

OpenStudy (anonymous):

A square is not a rectangle

OpenStudy (anonymous):

As I said If a square was a rectangle then it should be called a rectangle

hartnn (hartnn):

sorry if i am confusing you. take a square , any square, ask it whether its a rectangle or not. it will check its properties, if it has all properties of rect, then it will reply yes, i am rect.

hartnn (hartnn):

and if there is even 1 property of rectangle that the square does not possess, then it will reply no, i am not rect.

OpenStudy (anonymous):

The square said it is not a rectangle

OpenStudy (anonymous):

o your completely wrong

hartnn (hartnn):

then ask that square which property a rectangle has and you don't have ?

OpenStudy (anonymous):

Is a square a rhombus?

hartnn (hartnn):

are you human? always, sometimes, never.

hartnn (hartnn):

are all humans Camibayybee ?

OpenStudy (anonymous):

Yes it is

OpenStudy (anonymous):

Is a rectangle a rhombus?

OpenStudy (anonymous):

No

hartnn (hartnn):

ofcourse, a square is rhombus too

hartnn (hartnn):

a rectangle is sometimes rhombus only when all sides of rect are equal

OpenStudy (anonymous):

But thats not a rectangle thats a square

hartnn (hartnn):

and only in those cases, that rect will be a square too

hartnn (hartnn):

thats why we say rect is SOMETIMES SQUARE

OpenStudy (anonymous):

a rectangle cannot be a rhombus A square can It is either one or the other

hartnn (hartnn):

a rect can NEVER be rhombus <<<<<FALSE a rect can be sometimes rhombus

OpenStudy (anonymous):

A square has equal sides a rect only has 2 sides equal

hartnn (hartnn):

correct. that square still have 2 equal sides, so its still a rect

OpenStudy (anonymous):

but where are the other sides that are different length

OpenStudy (anonymous):

o thats cause its a square

hartnn (hartnn):

can you give me example of one square which is NOT a rectangle ?

hartnn (hartnn):

we know, let her think

OpenStudy (anonymous):

A square

hartnn (hartnn):

similar example, are you human ?? you will check whether you have all properties of human, if yes, you'll say , yes i am human

hartnn (hartnn):

are all humans Camibayybee ? humans will check when can they not be Camibayybee, they will reply, we are sometimes Camibayybee , because there are many humans not Camibayybee.

hartnn (hartnn):

clear any doubt which you still have in mind. :)

OpenStudy (anonymous):

Acctually you are wrong

OpenStudy (anonymous):

OpenStudy (anonymous):

As you can see here

OpenStudy (anonymous):

2300 years ago a square was NEVER a rectangle (oblong)

hartnn (hartnn):

that didn't say, a square is not oblong.

OpenStudy (anonymous):

??

hartnn (hartnn):

that paper just listed the properties. it never explicitly mentions whether a square is an oblong or not

OpenStudy (anonymous):

And a square isn't actually "a special kind of rectangle"

OpenStudy (anonymous):

because as you can see a square has 90degree angles and a rhombus does not

hartnn (hartnn):

a square IS a special kind of rect. with the speciality of all sides being equal

OpenStudy (anonymous):

Omgggg But look understand that a rectangle doesn't have equal sides

OpenStudy (anonymous):

A square was made just to be a square

hartnn (hartnn):

yes, a rect. does not have equal sides. but a square has all properties of a rect., so its a rect.

OpenStudy (anonymous):

That is why they made a square and a rectangle and you cannot say a square is a special kind waterer because it was never a rhombus in the first place

OpenStudy (anonymous):

do you see where I'm coming from

OpenStudy (anonymous):

A square is only a square a rhombus is only a rhombus a rectangle is only a rectangle

hartnn (hartnn):

why to bring rhombus in the discussion ?

hartnn (hartnn):

its like saying humans are only humans and Camibayybee can never be human :(

OpenStudy (anonymous):

Because you are saying a a square is a special kind of shape

hartnn (hartnn):

a rhombus is sometimes a square. a square is always a rhombus.

OpenStudy (anonymous):

NOOOOOOO

OpenStudy (anonymous):

Because a rhombus does NOT have 90 degree angles

OpenStudy (anonymous):

so how is it a rhombus?

hartnn (hartnn):

a rhombus is sometimes a square.(when it has all angles = 90) a square is always a rhombus.(because it has all properties of rhombus)

OpenStudy (anonymous):

Youu see what I'm saying look, Lisennnn READ

hartnn (hartnn):

i am sorry if i irritate you, i am reading all your replies curiously. "Because a rhombus does NOT have 90 degree angles" that is why some rhombus cannot be square, but that does not mean a square cannot be rhombus. you're stil not following my rule, if x has all properties of y, then x is y.

hartnn (hartnn):

if you have all properties of human, then you are human.

OpenStudy (anonymous):

A square is not a special shape because it is not a rhombus yes many is has equal sides like a rhombus but the angles are not 90 degrees therefore a rhombus is a rhombus itself it is its own shape. Now listen a square is not a rectangle because The sides differ. take away the theory of a square being a rhombus. Now you are left with a square and a rectangle. Now a square does have 90 degree sides like a rectangle it is a 4 sided shape (like a rhombus) BUT its sides differ a square has equal sides but a rectangle has only 2 equal sides. So a square is NOT a rectangle because of that fact itself Do you understand

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