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Mathematics 14 Online
OpenStudy (anonymous):

can someone help me

OpenStudy (anonymous):

with what?

OpenStudy (anonymous):

do u see it

OpenStudy (anonymous):

i need help with some of my hw problems i will post them in a link

OpenStudy (anonymous):

go for it

OpenStudy (anonymous):

OpenStudy (anonymous):

ty

OpenStudy (anonymous):

well trapezoids look like this|dw:1337662818273:dw| these are just two simple common ones.. do you see anything in common? or what the answer is by looking at the image?

OpenStudy (anonymous):

i pick A then

OpenStudy (anonymous):

you haven't picked it have you... :o

OpenStudy (anonymous):

no

OpenStudy (anonymous):

i mean guess lol my bad

OpenStudy (anonymous):

A states that a trapezoid has no parallel sides, and ... i might have misguided you with my drawings.. they aren't prefect.. but as you can notice, both of these have parallel lines. the top and bottom are parallel its the sides that aren't, they are bound to cross each other if the lines continue forever.. get what I'm saying?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

no sometimes the trapezoids are flipped, so they look like this instead|dw:1337663254516:dw| but still, there is always a pair of parallel sides so what would your guess be now?

OpenStudy (anonymous):

B

OpenStudy (anonymous):

I would agree with you now

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

a quadrilateral that has 4 congruent sides would be a parallaram ?

OpenStudy (anonymous):

true... I had to look that up lol

OpenStudy (anonymous):

xD

OpenStudy (anonymous):

wait i think its a rectangle

OpenStudy (anonymous):

well it could be either a square or a rhombus actually... and a square is considered a special rectangle...

OpenStudy (anonymous):

okay so a rectangle is not an option

OpenStudy (anonymous):

but all squares, rectangles, and rhombuses are parallelograms and they are all quadrilaterals ... look at this: http://www.mathsisfun.com/quadrilaterals.html

OpenStudy (anonymous):

it'll define what a parallelogram is; that is a good website, my sister recommends it..

OpenStudy (anonymous):

:) i believe it is a parallogram

OpenStudy (anonymous):

I'd think so too, but is either a rhombus or a square a choice?

OpenStudy (anonymous):

yes but para is both of those

OpenStudy (anonymous):

if both are given in the choices then I'd go for parallelogram, but if only one then I'd go for that one, since a rectangle is also a parallelogram, and not all of its sides are congruent (that is if congruent means equal length)

OpenStudy (anonymous):

okay i they were both in so i chose parallogram thanks

OpenStudy (anonymous):

can we do another

OpenStudy (anonymous):

sure, one more

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

here it is :)

OpenStudy (anonymous):

again, I had to use a little help :p.. but its good, I learn for a next time: http://www.mathopenref.com/polygonconcave.html this is what a concave polygon is, and with this, you should be able to get your answer

OpenStudy (anonymous):

I Believe B is the right choice

OpenStudy (anonymous):

we actually remember what the definition is "Definition: A polygon that has one or more interior angles greater than 180° (Result: some vertices point 'inwards', towards the the center.)" so all you have to do to see if a polygon is concave is check if one of the points points inwards..

OpenStudy (anonymous):

i believe it is concave

OpenStudy (anonymous):

yea, what do you mean though? still think its B?

OpenStudy (anonymous):

yeah i also might think its C

OpenStudy (anonymous):

well think about it, for it to be concave, one of the four points has to be pointing inwards. or like the word concave... it has to "cave" into the figure.

OpenStudy (anonymous):

In B, Figure B... |dw:1337665255300:dw| all points are pointing outwards. None are "caved" in. and by definition, none of the interior angles is greater than 180 degrees... do you see this?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

what about c

OpenStudy (anonymous):

now C |dw:1337665478124:dw|

OpenStudy (anonymous):

what can you tell me about its points? and its interior angles?

OpenStudy (anonymous):

outward

OpenStudy (anonymous):

all of them?

OpenStudy (anonymous):

what about figure A

OpenStudy (anonymous):

No figure A is a convex trapezoid or what we'd call a normal trapezoid...looks like an isosceles trapezoid...

OpenStudy (anonymous):

I want you to look at C again

OpenStudy (anonymous):

Mostly because the answer is C, but i'd like you to understand why

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

|dw:1337665835247:dw| the little curved lines are the interior angles

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