which statement is true..
a. all quadrilaterals are rectangles
b. all quadrilaterals are squares
c. all rectangles are quarilaterals
d. all quadrilaterals are parallelograms

Question

which statement is true..
a. all quadrilaterals are rectangles
b. all quadrilaterals are squares
c. all rectangles are quarilaterals
d. all quadrilaterals are  parallelograms

mathmate · Answer

Hint: compare with 
All men are people, or
all people are men

nottim · Answer

Give it some thought, at the very least. The question feels sad, because it did not get enough attention.

anonymous · Answer

what?

nottim · Answer

What do you think is correct, and why?

anonymous · Answer

D its a take home quiz and i really need a 100% so i need to make sure

mathmate · Answer

Give your answer, and I will gladly check it out for you.

anonymous · Answer

D. all  quarilaterals are parallelograms

nottim · Answer

Why?

mathmate · Answer

Not really.
A man is a human, but not all humans are men.

A parallelogram is a quad, but not quad are parallelograms (it could be a square, a rectangle, a rhombus, etc.)

myininaya · Answer

quadrilateral just means it has 4 sides (they don't have to be parallel)

anonymous · Answer

WAIT WHATS THE ANSWER

nottim · Answer

You're cheating a little, but we gave the answer.

anonymous · Answer

C??

mathmate · Answer

Why?

anonymous · Answer

all rectangles are quadrilaterals... is that rihgt?

mathmate · Answer

That is correct, but are you convinced?

anonymous · Answer

because a rectangle has four right angles.

mathmate · Answer

Not all quads have 4 right angles!

anonymous · Answer

but all rectangles do! look at answer C

mathmate · Answer

All quads have 4 vertices, that's all they promise!

anonymous · Answer

Quadrilateral just means "four sides" 
(quad means four, lateral means side).

myininaya · Answer

but thats not why
its because rectangles have 4 sides

anonymous · Answer

OMG SOMEONE PLEASE GIVE ME THE ANSWER AND REASONING AS TO WHY

myininaya · Answer

when i said thats not why i was talking to kak

mathmate · Answer

Kak, we already said your answer C is correct, but we just try to make sure you understand why, so you can do well in your exam later on.

anonymous · Answer

So why is it C

mathmate · Answer

A quadrateral has four sides, they can be parallel, but they may NOT be parallel at all.  Study statements A, B and D and see if they are valid.

mathmate · Answer

Hello?

anonymous · Answer

thank you.

mathmate · Answer

Are you convinced that it's C?

anonymous · Answer

yes

mathmate · Answer

In C, rectangles are quadrilaterals because all rectangles have 4 sides, just like any quadrilateral should.

mathmate · Answer

Great!
You're very welcome!  :)