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Mathematics 12 Online
OpenStudy (lilai3):

Geometry: Draw several squares and measure their interior angles. What can you conclude about the measures of the angles of a square? Did you use inductive (specific to general) or deductive (general to specific) reasoning?

OpenStudy (kinggeorge):

Do you have a protractor or a similar device to measure angles?

OpenStudy (lilai3):

yes

OpenStudy (kinggeorge):

Well, just draw two or three squares using a ruler. Don't worry about being extremely precise, just make sure they look like squares for the most part.

OpenStudy (lilai3):

okay, and the next step is?

OpenStudy (kinggeorge):

Use the protractor to measure each one of the 4 interior angles of the squares.

OpenStudy (lilai3):

what does that mean?

OpenStudy (kinggeorge):

Are you having trouble with using the protractor or knowing what interior angles are?

OpenStudy (lilai3):

like what do you mean..i mean o.O and is it that half circle thingy majigy?

OpenStudy (kinggeorge):

Yes. http://www.mathsisfun.com/geometry/protractor-using.html

OpenStudy (kinggeorge):

They have a pretty awesome picture of a protractor there.

OpenStudy (lilai3):

okay...wait...so you just draw squares...accurately...then you just measure them... 90 degrees all of them... makes 360 degrees.... ya... they are 90 degrees... right?

OpenStudy (lilai3):

then if yes, what is their point here? i don't really get it...

OpenStudy (kinggeorge):

Well now that you measured them all to be 90, does that mean that squares always have angles of 90 degrees?

OpenStudy (lilai3):

yes... duh..totally????

OpenStudy (kinggeorge):

It is true (of course) that they always have 90 degree angles. But if all you knew was what you had measured using only a few hand-drawn squares, and you concluded that squares always have angles of 90 degrees, what kind of logic would you be using? Inductive or Deductive?

OpenStudy (lilai3):

i'm guessing...deductive?

OpenStudy (kinggeorge):

Actually, since this would be inductive. You start with some small cases, find some pattern, and assume that the pattern extends to all cases. This is what we just did. We drew a couple squares that shared some properties, and decided that those properties are true for every square.

OpenStudy (lilai3):

oooohhhhhhhhhh... cuz then i thought it was general to specific because we saw that it was 90 degrees, followed by general idea because we already knoew it was 90 degrees without measuring it...that sounds weird, i know, trust me, but that's exactly how i felt.. so ...

OpenStudy (kinggeorge):

I don't really like this question very much. It's basically just pretending the definition of a square doesn't exist.

OpenStudy (lilai3):

mmmhhhmmm oh and i gotta go thank you so very much, @KingGeorge! I appreciate your time and effort into helping me! Thx! :] <333 Have a great rest of the day,@KingGeorge! And best of luck! (Tee-hee!) :] <333 >.< lolz :P bye! <333

OpenStudy (kinggeorge):

Bye. :)

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