Art of Problem Solving: Classifying Quadrilaterals

Art of Problem Solving's Richard Rusczyk classifies some quadrilaterals.

Пікірлер: 87

  • @JoesWife1000
    @JoesWife10009 жыл бұрын

    My 3 kids and I all enjoyed this. Thanks for making it fun!

  • @blockytheblock1
    @blockytheblock14 жыл бұрын

    But at that point, it's parallel, so in your world, what defines a trapezoid? certainly not all parallel... right?

  • @toebel

    @toebel

    3 жыл бұрын

    Trapezoid = At least one pair of opposite sides parallel

  • @understandingmaths1033
    @understandingmaths10338 жыл бұрын

    Interesting, but not only controversial, also incomplete. Don't forget the kite! Kite should be same level as the trapezoid. Underneath the the kite is the rhombus. ie, rhombus is not only a special type of trapezium, it's also a kite. This means completely redrawing the relationships I'm afraid.

  • @kelyta3000
    @kelyta30009 жыл бұрын

    Well done!! Interactive and fun.

  • @anticorncob6
    @anticorncob610 жыл бұрын

    Somewhere between you and khanacademy, would be the perfect teacher. Do you know the arguments as to why a parallelogram shouldn't be considered a trapezoid?

  • @joharimalik1299

    @joharimalik1299

    9 жыл бұрын

    The rationale for not considering a parallelogram a trapezoid is that the definition for a trapezoid is a quadrilateral with one pair of parallel sides. As in EXACTLY one pair, not AT LEAST one pair. Parallelograms have two pairs of parallel sides, and therefore don't meet those requirements. It's like when classifying triangles: an isosceles triangle has two congruent sides. According to the rationale in this video, an equilateral triangle would also have to be an isosceles triangle because it too has two congruent sides; the fact that the third side is also congruent doesn't mean that the first two sides stop being congruent. But the definition of an isosceles triangle isn't two OR MORE congruent sides, it's two congruent sides.Three is not two, so equilateral triangles are not a subset of isosceles triangles. Back to the quadrilaterals: trapezoids have one pair of parallel sides, not one OR MORE pairs of parallel sides. One and only one. So parallelograms, which have two pairs of parallel sides are not actually a subset of trapezoids. Hope that explanation of the logic behind the great trapezoid-parallelogram schism helps :)

  • @anticorncob6

    @anticorncob6

    9 жыл бұрын

    Johari Malik So why does the definition state that a trapezoid can only have one pair of opposite sides? Almost every theorem about trapezoids also applies to parallelograms. And I don't think the definition of a trapezoid is universally agreed upon, just like how there is no universal agreement on what a natural number or whole number is.

  • @joharimalik1299

    @joharimalik1299

    8 жыл бұрын

    ***** I was explaining this particular line of logic, whereby one pair means exactly one pair, not endorsing one view over the other. I understand that this isn't a universally agreed upon thing, especially when it comes to quadrilaterals.

  • @joharimalik1299

    @joharimalik1299

    8 жыл бұрын

    +anticorncob6 Right, it's not universally agreed upon. But your question that I responded to asked for the arguments for why a parallelogram wouldn't be considered a trapezoid. That's what I addressed.

  • @andrewbukowski5287
    @andrewbukowski52877 жыл бұрын

    he looks like the guy from blues clues

  • @nikkigray4860

    @nikkigray4860

    4 жыл бұрын

    yea

  • @Bacon69363

    @Bacon69363

    4 жыл бұрын

    He does

  • @kami69823
    @kami698234 жыл бұрын

    Isn't the definition of trapezoid 1 pair of parallel sides, because parallelograms are 2 pair of parallel sides

  • @aw3156
    @aw31564 жыл бұрын

    I skipped to the end and I was like this guy took it too far

  • @luving4kitty

    @luving4kitty

    4 жыл бұрын

    Andy Wu LOL SAMEEEE

  • @syamazaki6871
    @syamazaki68719 жыл бұрын

    Great explanation. I'm going to show my second grade class.

  • @211potomacct
    @211potomacct8 жыл бұрын

    i like ur video, it really helps me understand it better!

  • @angiedurand972
    @angiedurand9724 жыл бұрын

    what does 2 years of latin have to do with the word rhombus

  • @mahashurbaji4724
    @mahashurbaji47244 жыл бұрын

    Please .. What is the name of this program? Thank you

  • @veetoe4836

    @veetoe4836

    2 жыл бұрын

    Art of Problem Solving omfg read the title

  • @anilshiv45
    @anilshiv4510 жыл бұрын

    Brilliant !

  • @missanadiaz
    @missanadiaz10 жыл бұрын

    Thank you! My students loved this video!

  • @jangwoo24
    @jangwoo2410 жыл бұрын

    That isn't a rectangle, the angle is slightly less and more than 90

  • @isabelln804
    @isabelln8049 жыл бұрын

    i love this!

  • @ryuryu8280
    @ryuryu82807 жыл бұрын

    My math teacher put this on his blog

  • @temiade1

    @temiade1

    7 жыл бұрын

    Dumachew Anime good. job

  • @paper6005

    @paper6005

    4 жыл бұрын

    same

  • @naomibrannan8382

    @naomibrannan8382

    4 жыл бұрын

    same

  • @jimmygeis8951
    @jimmygeis89514 жыл бұрын

    I thought today we had to watch the cursed “math antics” thankfully we got to watch this instead

  • @mariagracia8133

    @mariagracia8133

    4 жыл бұрын

    FineBrother Cringe you need to do E learning? XD

  • @jimmygeis8951

    @jimmygeis8951

    4 жыл бұрын

    Isabella Sofia sadly

  • @mariagracia8133

    @mariagracia8133

    4 жыл бұрын

    FineBrother Cringe me too :(

  • @SSJ28K

    @SSJ28K

    4 жыл бұрын

    we had to do both

  • @toddlisella988
    @toddlisella9883 жыл бұрын

    Love it, great job! The quad in the top left could almost be a kite

  • @divinepeace007
    @divinepeace0076 жыл бұрын

    ur very kid and gentleman and good teacher

  • @kourtnussy9707

    @kourtnussy9707

    4 жыл бұрын

    yes he is very kid

  • @gmhiede1468
    @gmhiede14682 жыл бұрын

    Thank you!this help me for my math problem💗💗

  • @kboardist
    @kboardist4 жыл бұрын

    AWSOME

  • @bandsweretaken2705
    @bandsweretaken27056 жыл бұрын

    what are u using

  • @xplicit6106

    @xplicit6106

    4 жыл бұрын

    ikr i never thought that there was that technology in 2012

  • @jacobbastian7714
    @jacobbastian77149 жыл бұрын

    I agree with you

  • @temiade1

    @temiade1

    7 жыл бұрын

    Jacob and Abbie good

  • @yashin2068
    @yashin20684 жыл бұрын

    tnx man, great explanation ;)

  • @yashin2068

    @yashin2068

    4 жыл бұрын

    @Isabella Warner yes my teacher asked us to watch it :)

  • @socksnotemo7980
    @socksnotemo79808 жыл бұрын

    Shout out to Mrs. Zarns class!

  • @andrewpeterson4471

    @andrewpeterson4471

    8 жыл бұрын

    +Izi Smith YASSS!!!!

  • @alexwang982

    @alexwang982

    6 жыл бұрын

    I’m in that class

  • @adebayotaiwo3072
    @adebayotaiwo30728 жыл бұрын

    Interactive fun😮😃

  • @janaegreen2746
    @janaegreen27465 жыл бұрын

    Nice

  • @mintyt1942
    @mintyt19424 жыл бұрын

    Watching this for me

  • @kboardist
    @kboardist4 жыл бұрын

    OOOH! smart

  • @kboardist
    @kboardist4 жыл бұрын

    NICE

  • @laurarivas4385
    @laurarivas438510 жыл бұрын

    I love math

  • @donovanwyatt4730
    @donovanwyatt47307 жыл бұрын

    #TrapezoidsArePeopleTo

  • @ryuryu8280

    @ryuryu8280

    7 жыл бұрын

    lel

  • @alexwang982

    @alexwang982

    6 жыл бұрын

    *too

  • @M_Chen333

    @M_Chen333

    6 жыл бұрын

    #TrapezoidsAreParallelogramsToo

  • @kboardist
    @kboardist4 жыл бұрын

    COOL

  • @Mr.Miles.
    @Mr.Miles.4 жыл бұрын

    Who’s here for school

  • @soarstudios7325
    @soarstudios73253 жыл бұрын

    yes

  • @tscottj23
    @tscottj234 жыл бұрын

    i like it it cool

  • @kboardist
    @kboardist4 жыл бұрын

    WOW

  • @the1andonlyLeta00
    @the1andonlyLeta003 жыл бұрын

    I would have loved to show this video to my deaf and hard of hearing students but unfortunately there were no captions... what a shame :(

  • @averyinterestingpineapple6038

    @averyinterestingpineapple6038

    2 жыл бұрын

    L

  • @slongz2750
    @slongz27504 жыл бұрын

    Im confused

  • @GSHAPIROY
    @GSHAPIROY2 жыл бұрын

    What about triangles? Isosceles triangle means two sides are equal. Equilateral triangle means all three sides are equal. All equilateral triangles are isosceles. Scalene triangle means no sides are equal. We could use your logic with the trapezoids and parallelograms to say that all triangles are scalene.

  • @dav87x

    @dav87x

    Жыл бұрын

    You could actually. You don't ever use scalene triangles outside of classification if you think about it, you use a "general triangle".

  • @andrewwwrightt151
    @andrewwwrightt1514 жыл бұрын

    hi

  • @elijahestes1083
    @elijahestes10834 жыл бұрын

    106 plus 74 is not 108

  • @43Cubes

    @43Cubes

    3 жыл бұрын

    he said 180 not 108

  • @maangelessebial2423
    @maangelessebial24232 жыл бұрын

    180

  • @kboardist
    @kboardist4 жыл бұрын

    OOOOOOOOOOOOOOOOOOOHHHHHH

  • @kboardist
    @kboardist4 жыл бұрын

    !

  • @kboardist
    @kboardist4 жыл бұрын

    MMMMMMMMM

  • @sanghoonjung921
    @sanghoonjung9218 жыл бұрын

    Then I guess that his world is quite small

  • @ryuryu8280

    @ryuryu8280

    7 жыл бұрын

    yep

  • @peter_castle

    @peter_castle

    5 жыл бұрын

    indeed, the earth is small in the universe

  • @benjamingillin5328
    @benjamingillin53289 жыл бұрын

    kidz show maan. thiz iz four for year olds.

  • @abhirupan7630

    @abhirupan7630

    7 жыл бұрын

    You should get your spellings right first.

  • @slongz2750

    @slongz2750

    4 жыл бұрын

    Your spellin doe

  • @kboardist

    @kboardist

    4 жыл бұрын

    @@slongz2750 .

  • @kboardist

    @kboardist

    4 жыл бұрын

    NA NA NA NA NA NA NA what you get for making fun

  • @gnomey5421
    @gnomey54214 жыл бұрын

    2 years of latin wasted

  • @nickgill6639
    @nickgill66393 жыл бұрын

    Wait a minute rhombus have equal sides but it doesn't have equal angles and square have equal sides and equal angles than how could they be same in your world 🙄

  • @kboardist
    @kboardist4 жыл бұрын

    !