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Mathematics 19 Online
OpenStudy (anonymous):

Which statement must be true? 1.) If a parallelogram is not a rectangle, then it is not a square. 2.) If a parallelogram is not a square, then it is not a rectangle. 3.) All rectangles are squares. 4.) If a parallelogram is a rectangle, then it is a square.

OpenStudy (anonymous):

I know its not choice 3 because rectangles are not squares.

OpenStudy (raffle_snaffle):

or 4

OpenStudy (anonymous):

Yeah, and also 1 I think because again rectangles aren't squares.

OpenStudy (anonymous):

I think its 2 but I wasn't 100% sure.

OpenStudy (anonymous):

Is it?

OpenStudy (raffle_snaffle):

I don't know.

OpenStudy (anonymous):

Im stuck between 1 and 2.

ganeshie8 (ganeshie8):

parallelogram can be a rectangle. without being a square

OpenStudy (anonymous):

So its choice number 2 I assume?

ganeshie8 (ganeshie8):

nope. answer is #1

OpenStudy (anonymous):

Yeah but squares are rectangles. So if its not a square then its not going to be a rectangle.

OpenStudy (anonymous):

So wouldn't that be choice 2? I am so confused.

ganeshie8 (ganeshie8):

all squares are rectangles. all rectangles need not be squares.

ganeshie8 (ganeshie8):

all parrots are birds. all birds need not be parrots.

ganeshie8 (ganeshie8):

answer is first option. read it again, and again, and again... until u convince urself :)

OpenStudy (anonymous):

Okay so its choice 2. Because if its not a square then its not a rectangle either. Since you said all squares are rectanlges.

OpenStudy (anonymous):

I think its still 2

OpenStudy (anonymous):

*rereads*

OpenStudy (raffle_snaffle):

I think it's 1

OpenStudy (raffle_snaffle):

read 1 carefully

OpenStudy (raffle_snaffle):

http://www.mathsisfun.com/quadrilaterals.html

ganeshie8 (ganeshie8):

Alright ! lets analyze option2 a bit - to see why its false

OpenStudy (raffle_snaffle):

Sally look at the link I posted

OpenStudy (anonymous):

Rectangles are NOT squares. Therefore you cannot assume that if its not a rectangle then its not a square. Okay

ganeshie8 (ganeshie8):

Exactly !

OpenStudy (raffle_snaffle):

*thumbs up*

OpenStudy (anonymous):

OHHHHHH! I feel like I got it. *face palms*

ganeshie8 (ganeshie8):

happens :) good u nailed it very quick :)

OpenStudy (anonymous):

Thanks (:

ganeshie8 (ganeshie8):

np u wlc :)

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