Triangle Congruence Theorems Explained: ASA, AAS, HL

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  • Опубліковано 8 лип 2015
  • Join us as we explore the five triangle congruence theorems (SSS postulate, SAS postulate, ASA postulate, AAS postulate, and HL postulate). By the end of this lesson, you will be able to identify each theorem and understand which scenarios they can be applied in. (hypotenuse leg, angle angle side, angle side angle, side angle side, side side side)
    Oh yeah, and you'll learn to avoid the donkey theorem :)
    For more MashUp Math content, visit www.mashupmath.com and join our free mailing list! :)
    This lesson answers the questions: How do I prove that two triangles are congruent? What are the triangle congruence theorems? What is SSS? What is SAS? What is ASA? What is AAS? What is HL? How do I prove triangles using hypotenuse leg?
    Be sure to join our mailing list at www.mashupmath.com

КОМЕНТАРІ • 529

  • @MashupMath
    @MashupMath  4 роки тому +101

    Thank you for learning with me! If you found this video helpful, please give it a THUMBS UP & LEAVE A COMMENT and be sure to SUBSCRIBE to my channel (I could really use the support!). Subscribe Here: bit.ly/2yRUQS1 -Anthony :)

    • @alexcybercrazy574
      @alexcybercrazy574 4 роки тому +3

      Nice job with those videos.

    • @dharanidharan.m9413
      @dharanidharan.m9413 3 роки тому +3

      Best guy in the world

    • @katherinegarnicasuarez
      @katherinegarnicasuarez 3 роки тому +1

      I am so grateful for your explanation! I clearly understood content that my teacher does not explain enough! The audio-visual effects and illustrations keep me engaged help me absorb so much in so few time!

    • @naveenjoshy8184
      @naveenjoshy8184 3 роки тому

      Yes

    • @kalaiselvi7374
      @kalaiselvi7374 2 роки тому +1

      Subscribed teacher. Thank you for your videos

  • @theswag9477
    @theswag9477 4 роки тому +871

    Anyone here during online school?
    Edit: Im still getting comments, our education system amiright?

  • @luigibenc
    @luigibenc 7 років тому +525

    my teacher has been teaching this for over a week now and I have a test tomorrow and so I came here. I didn't know anything before and now understand everything from this one video that my teacher took over 7 days to explain

    • @MashupMath
      @MashupMath  7 років тому +30

      +Luigi Bencosme So glad to help, Luigi! I hope you do well on your test and that you can subscribe to our channel! -Anthony :)

    • @priyanshudas4626
      @priyanshudas4626 5 років тому +7

      Same here dude i have a geometry test tomorrow and really helped me a lot

    • @cookie-jk1ph
      @cookie-jk1ph 4 роки тому +4

      wow literally the same thing happened to me, except no one bothered to teach me because I was absent when they took the lesson-
      oh and I also have a test tomorrow so--

    • @Hajjmusic_
      @Hajjmusic_ 3 роки тому +3

      Teachers need help

    • @wishyfxshy6362
      @wishyfxshy6362 3 роки тому

      i literally have a quiz tomorrow!!

  • @blakekeller5584
    @blakekeller5584 3 роки тому +491

    bro who else has a test tomorrow💀


  • @nono9291
    @nono9291 4 роки тому +1061

    Me watching this video a week after my teacher assigned it like 👁 👄 👁

  • @cupibori
    @cupibori 3 роки тому +302

    SSS 1:42
    SAS 2:30
    ASA 3:15
    AAS 3:58
    HL 5:01

  • @laceyevelynn4836
    @laceyevelynn4836 3 роки тому +251

    Me watching this in class 1 min before my test starts like 👁👄👁

  • @chrissiec2123
    @chrissiec2123 7 років тому +273

    I like that he puts effort into his videos- from the design to making sure the content keeps the viewer engaged. I'm ridiculously terrible at math and we just learned about triangle proofs in the geometry course I'm taking. This helped clear a lot of stuff up! :D

    • @MashupMath
      @MashupMath  7 років тому +21

      Thanks for the kind words! I'm so glad that you enjoyed the lesson. I hope that you can give the video a thumbs up, subscribe to our channel, and continue learning math with us! -Anthony :)

    • @chrissiec2123
      @chrissiec2123 7 років тому +5

      You're most welcome! I already did give it a thumbs up and subscribed and intend to continue learning with you guys!

    • @mrvm1817
      @mrvm1817 6 років тому

      Very helpful

    • @naomia472
      @naomia472 3 роки тому +1

      @@MashupMath thank you so much I didn’t understand anything and you helped me not have a breakdown!

    • @agastya_10a57
      @agastya_10a57 2 роки тому

      me too my fren, now i am in 9th and i really need to cope up and these type videos help alot.

  • @msstephanie726
    @msstephanie726 3 роки тому +87

    THANK YOU! My teacher didn’t explain the difference between AAS and SAS at ALL.

    • @wh00lio
      @wh00lio 3 роки тому +11

      sameeee like i was confused if it was ASA or AAS, dude that was hardd thoo

    • @NokiGamG
      @NokiGamG 3 роки тому +1

      Yeah I learned a lot about AAS, ASS, ASA and HL

    • @shanmithvarma6480
      @shanmithvarma6480 Рік тому

      Yeah man .....ASA and AAS were damn confusing

    • @fahmiaalshawhati4290
      @fahmiaalshawhati4290 7 місяців тому

      ong

  • @JahangirAlam-vd2hg
    @JahangirAlam-vd2hg 2 роки тому +10

    The last example, as to why ASS is not congruent has been excellent.

  • @juaquinpineda558
    @juaquinpineda558 8 років тому +76

    Math has never been this easier! Make more vids!! Thanksss! I learned A LOT more from a 10 minute video rather than a 3-hour lecture 😂😂

    • @MashupMath
      @MashupMath  8 років тому +3

      +Juaquin Pineda That's awesome! So glad that we can help. It would be great if you could subscribe to our channel and share it with your friends and classmates. :)

    • @juaquinpineda558
      @juaquinpineda558 8 років тому +2

      +MashUp Math I already did! Hah! Our Math Teacher was a bit grumpy when she was teaching this, so we pretty much did not learn anything from her. My friends were actually asking me to look for a video on UA-cam about this lesson. Then I stumbled upon this page, which is completely rad! Thanks, really!

    • @MashupMath
      @MashupMath  8 років тому +1

      Nah man, maybe you should be the one who STARTS using "rad!" ;)

  • @maryanne5280
    @maryanne5280 4 роки тому +86

    I am afraid., Because now i understand but on the test day i forget everything and i always get a bad grade in math. I can't do anything i am just bad at math i wish i was smart.

    • @wimblop
      @wimblop 4 роки тому +8

      it's okay bro, me too

    • @hayleynavarro8844
      @hayleynavarro8844 3 роки тому +1

      Take comfort in our kpop idols, they love us whether we good at math or not🤧

    • @katherinegarnicasuarez
      @katherinegarnicasuarez 3 роки тому +4

      Fear can block success. I think we hate a subject when we don't understand it. When one understands a concept and practices it multiple times on paper, and then rests a while and comes back to it a while later, the brain goes is switching from active mode into diffuse mode and back to active mode, which helps the brain to memorize information. I used to hate plane geometry and algebra because I didn't understand it. So I started thinking positively and finding solutions (like taking "How to Learn" classes), and it has really helped me. I know you can do it too with God's help!

    • @xochxrry6857
      @xochxrry6857 3 роки тому +6

      Just cheat

    • @HumnaKhan9
      @HumnaKhan9 3 роки тому

      @@xochxrry6857 EXACTLYY HAH

  • @melissam6588
    @melissam6588 2 роки тому +7

    this makes no sense how do I tell if a triangle is AAS, SSS, ECT when THEY ARE ALL TRIANGLES AND LOOK THE SAME SSS CAN LOOK LIKE SAS😭😭😭

  • @brahimtchouk5957
    @brahimtchouk5957 3 роки тому +20

    Excelent job! The simplest and most crystal clear explanation I've ever come across during my entire life in studying math..I think teachers should learn your method,it will help a lot.Thank you so much.

    • @fahmiaalshawhati4290
      @fahmiaalshawhati4290 7 місяців тому

      fr i learned more in a 8 minut video than a 1 hour class each day

  • @MisterGoose
    @MisterGoose 4 роки тому +10

    can we just have all math moved to youtube because guys like these explain it so much better than teachers

  • @mrikmathteacher5157
    @mrikmathteacher5157 3 роки тому +8

    Excellent video man! What's more impressive is the amount of time you guys must be putting into making these videos. Keep up the good work. - Mr Ik Math Teacher

  • @kevinpizana6303
    @kevinpizana6303 3 роки тому +33

    bruh a 7 minute video teached me more than a 2 hour class

    • @Max-ei2ys
      @Max-ei2ys 3 роки тому +6

      Shame it didn’t teach you English mate. ”teached” 🤣

    • @lillyyourfriend4793
      @lillyyourfriend4793 3 роки тому +9

      @@Max-ei2ys not everyone’s first language is English smart ass 😒

    • @naomia472
      @naomia472 3 роки тому

      Fr

    • @cupibori
      @cupibori 3 роки тому

      It's **taught** but I totally agree. My teacher simply has like notes and videos very unorganized and uninformative so I always have to resort to youtube because everything is explained better in such a short span of time.

    • @kaizerbeam7258
      @kaizerbeam7258 3 роки тому

      @@lillyyourfriend4793 lmao learn to laugh you uptight angle-angle-side

  • @keplerr1512
    @keplerr1512 3 роки тому +50

    me when i have an assignment due in 30 minutes and im trying to understand this: 👁👄👁

    • @daphnebailey6223
      @daphnebailey6223 2 роки тому

      I’m in class watching this bc my teacher don’t know how to teach

  • @soupdahloop
    @soupdahloop 3 роки тому +6

    my teacher has been going over proofs for nearly 4 MONTHS and i barely understood anything... now i get it... after a 7 minute youtube video

  • @navneethnalajala1671
    @navneethnalajala1671 4 роки тому +7

    This was so hard, being a seventh-grader, but learning it now has been so easy. Thank you so much for the video! Keep it up!

  • @ymm424
    @ymm424 6 років тому +18

    Love that this is visual, which is exactly how I teach. So I'm thinking, "why recreate the wheel?" when you've done this work for me already :). So thank you. I plan to share this with my students.

  • @brendanadcock8810
    @brendanadcock8810 4 роки тому +1

    I love these videos theses are awesome and they mean a lot in helping me with my math homework I would like to request more of these kinds of videos for the future generation

  • @kennedyjackson5950
    @kennedyjackson5950 7 років тому +3

    Honestly this video saved my brain. Hahaha I'm taking geometry during summer so i can get ahead and take algebra 2 and I started it 3 weeks before school starts and I'm cramming it all in and my online teacher stinks! This made it much easier THANK YOUU

  • @JOW-js4fs
    @JOW-js4fs Рік тому +1

    That video was absolutely amazing, i truly learnt so much!!

  • @sovaki5716
    @sovaki5716 2 роки тому +3

    Test in 20 minutes finna ace it I slept through every class over this unit

  • @spoopstiel5806
    @spoopstiel5806 4 роки тому +1

    Thank you so much! This makes soooo much more sense to me now! :D

  • @catthebatflute
    @catthebatflute 10 місяців тому +2

    This video was very helpful and I learned a lot from it.
    I also liked how he got over and explained why there is no A.S.S lol

  • @lilvinegar592
    @lilvinegar592 3 роки тому +2

    Subbed and liked because I feel like you are a gamer or something and you like to help people study

  • @fourzry
    @fourzry 3 роки тому +12

    Its crazy how many teachers cant explain so that led students to search a vid on YT

  • @rjayajaswanth
    @rjayajaswanth 2 роки тому

    Nice Video and it makes me learn easily now with joy because of the sounds you put a lot of effort Thank you!

  • @Zan-rk6mw
    @Zan-rk6mw 3 роки тому +5

    Bro don't scare me at the end of the video. I literally looked at my notes to see if that was a thing lmfao :-)

  • @omarismail1795
    @omarismail1795 3 роки тому +1

    You sir are an absolute legend!

  • @Reesentlyy
    @Reesentlyy 3 роки тому +3

    Literally watched this video and it explains a whole test in under 10 minutes.

  • @jodinardella3011
    @jodinardella3011 3 роки тому +2

    Thank you for making a video that SHOWS the triangle congruence theorems so well. I will be showing this to my class every year from now on as an introduction to the congruence theorems. I especially like your ASS explanation, wonderfully done. I do have a questions however, at the very end of the video you mentioned you drew the second triangle as an ACUTE triangle showing that the two triangles are not congruent, but I think you meant to say OBTUSE?

  • @PTC_Tones
    @PTC_Tones 5 років тому

    Thank you for making this video. It was very helpful.

  • @amack_seatown1932
    @amack_seatown1932 6 місяців тому +1

    Thanks I have a geometry test tomorrow and I was so screwed until I saw this video

  • @almaasdutoit8490
    @almaasdutoit8490 2 роки тому

    Thanks so much for this...it really helped me to understand! Many thanks all the way from South Africa!💃🏻💕

  • @geoffyoung3012
    @geoffyoung3012 3 роки тому +2

    Great video thanks

  • @pickledbreadproductions
    @pickledbreadproductions Рік тому

    Honestly, it's great to watch a video that doesn't drag it out ten times what it needs to be.

  • @jishnuanirudh1823
    @jishnuanirudh1823 8 років тому

    Very easy to understand and awesome explanation thank u . Subscribed

  • @amberuidenich5477
    @amberuidenich5477 5 років тому +1

    Love your videos!

  • @Ditto_Mitto
    @Ditto_Mitto Рік тому

    You explain better than my math teacher-i was so confused on this but i understand it now thank you so much

  • @hammerasipi3442
    @hammerasipi3442 3 роки тому +3

    bro i got a quiz in 5 minutes

  • @user-gc9gx3yr1r
    @user-gc9gx3yr1r 5 років тому +1

    Thank you very much and nice editing bro.

  • @israphelperry2390
    @israphelperry2390 7 років тому +3

    Oh my god, thank you. I have a geometry test tomorrow and I completely bombed my paper over this today. Now I understand it. Seriously, thank you. Subscribed and liked. ✌✌✌

    • @MashupMath
      @MashupMath  7 років тому

      +Israphel Perry That's awesome!!! So glad that we were able to help! -Anthony :)

  • @addusaikiran2944
    @addusaikiran2944 5 років тому +1

    Good video... Nice explanation.... Simply and fast explanation which is clean n clear.... :-)👌👍👏

  • @battlesnails_
    @battlesnails_ 6 років тому +6

    this was really helpful! explained way more than my teacher did

    • @azreledxtz
      @azreledxtz Рік тому +1

      You probably graduated 💀

  • @mayank8446
    @mayank8446 4 роки тому +2

    The point to point and perfect video with using animation 😇😎...

  • @jk.03
    @jk.03 6 років тому

    Thank you. Helped a lot.

  • @aratisingh914
    @aratisingh914 5 років тому +1

    Your videos are very good understandable.Thanks subscribed and liked

  • @jessicaangel4944
    @jessicaangel4944 4 роки тому +1

    OMGG...Thanks a Lot...1 month Class summed up in 7:24 minutes.....WOW * Added to Liked Videos *

  • @Luke_Fesperman
    @Luke_Fesperman 2 роки тому

    This is my favorite youtube channel now:

  • @averyfretwell1809
    @averyfretwell1809 3 роки тому +3

    watching this half an hour before my final...nice

  • @gamingwithcorona4070
    @gamingwithcorona4070 2 роки тому +1

    very very nice to learn.... easy to understand
    thankyou

  • @cheriexbearr249
    @cheriexbearr249 3 роки тому

    This helped me so much thanks a lot!!!

  • @LosizakII
    @LosizakII 2 роки тому

    This was great. Thank you :)

  • @donnablankenbecler8914
    @donnablankenbecler8914 7 років тому +1

    Nice job!!!

  • @tinimunson1242
    @tinimunson1242 2 роки тому +2

    May I ask why there is no Angle-Angle-Angle? Is it equivalent to the Side-Side-Side then? Anyway, your channel was really helpful, thank you.

  • @hasnatfahar6808
    @hasnatfahar6808 7 років тому +2

    nice video man

  • @user-yq6pe4vn4g
    @user-yq6pe4vn4g 5 місяців тому

    Yay i finally understand it 😁😁
    Thank you so much 😊🙏

  • @i_want_bleach__2894
    @i_want_bleach__2894 3 роки тому +2

    UA-cam has always been helpful compared to teachers

  • @alisonw4002
    @alisonw4002 3 роки тому

    Thanks, this was helpful for my students :)

  • @edwardosechrist7838
    @edwardosechrist7838 2 роки тому

    This video ROCKS!

  • @adalawad8668
    @adalawad8668 2 роки тому

    Thank you i need to know how did you rorate shoes use which progeam?

  • @etherealbear1
    @etherealbear1 3 роки тому +2

    I have a test tomorrow and this honestly helped me out. Thank you so much for making this video!

  • @aidanjoa6261
    @aidanjoa6261 4 роки тому +1

    I understand now Merci!

  • @pixie_the_furry
    @pixie_the_furry Рік тому +1

    i wish you had more example for HL since im still confuse on how to solve it or draw it

  • @bayleighwestra
    @bayleighwestra 3 роки тому

    Getting ready for the geometry final this week🥳🥳🥳🥳

  • @aniyahsaraii
    @aniyahsaraii 4 місяці тому

    it’s so cool seeing all these old comments, just kinda reminds me of how fast time flies ☹️

  • @dananjasusantha8463
    @dananjasusantha8463 3 роки тому

    Thank u so much bro.

  • @catherinekaminski112
    @catherinekaminski112 3 роки тому +4

    the sound effects were a little weird. Great video though. Very helpful :).

  • @MattFoley-nz2cp
    @MattFoley-nz2cp 7 місяців тому

    Same man, geometry test tomorrow doing a cram study session. Thanks Mashup Math!

  • @mrunknown8139
    @mrunknown8139 3 роки тому +1

    Thanks to explain this topic my all doubt is clear

  • @brosamjgd
    @brosamjgd 6 років тому +2

    Thank you so much this is the only way I’m not failing math rn

  • @adamhall7100
    @adamhall7100 4 роки тому +12

    The editing is good and the information is presented very well. I could do without the sound effects.

    • @adrienchen
      @adrienchen 2 роки тому +1

      you DARE to insult the LEGENDARY sound effects???? 🥵🥶🥶😡🥶🥵🥶😡🤭🤭🤭😒😀👿

  • @scifidude4995
    @scifidude4995 6 місяців тому

    Thank you so much

  • @sloaneversoza7010
    @sloaneversoza7010 3 роки тому

    I have a question um what does the lines you put in the triangle for? how did you know where to put it? pls answer

  • @sandeepsingh-cq9tj
    @sandeepsingh-cq9tj 3 роки тому +1

    It is very good and helpful video I love this video very much please make many videos like this 👍👍👍👍👍👍👍😘😘😘😘😘😘😘😘😘👌👌👌👌👌👌👌👌👌

  • @anzeiru5871
    @anzeiru5871 4 роки тому

    This vid helped me so much

  • @vicky_aluko.a
    @vicky_aluko.a 2 роки тому

    Thank you! God bless you

  • @croix2205
    @croix2205 2 роки тому

    thank you sir!

  • @geraldinelarayos1144
    @geraldinelarayos1144 4 роки тому +2

    NICE!

  • @dewren7719
    @dewren7719 3 роки тому

    Well illustrated 🙏😁

  • @Sonimod
    @Sonimod 2 роки тому

    Thanks! 👍

  • @rajivsonu7987
    @rajivsonu7987 8 років тому +3

    good explanation easy to understand. should have named the vertices

    • @MashupMath
      @MashupMath  8 років тому

      Thanks for the input, Rajiv! You're right, I could have been more detailed and named the vertices as well. I hope that you can subscribe to our channel and continue learning math with us! -Anthony ;)

  • @shaikhafsa4503
    @shaikhafsa4503 7 років тому +1

    superb and easy

  • @chasebriscoefan14
    @chasebriscoefan14 6 місяців тому

    Thank you

  • @fiddlesticks6146
    @fiddlesticks6146 3 роки тому +2

    thank you so much

  • @abbeyr6855
    @abbeyr6855 2 роки тому +1

    thank u so much

  • @Akumu-Kun-0
    @Akumu-Kun-0 Місяць тому

    Damn. 8 Years. Thank you for this video

  • @lamtuyenphanthi7112
    @lamtuyenphanthi7112 7 років тому +4

    As a math teacher, I'd use yours to teach in my class. It is better to explain in length by myself. :) Thanks for making this UA-cam clip.

  • @muhammadamin7487
    @muhammadamin7487 Рік тому

    Good.
    Thanks.

  • @JeroMusic
    @JeroMusic 2 роки тому +3

    Me watching this the day before my geometry test when I should know this already 👁👄👁

  • @HichtedHailXbox
    @HichtedHailXbox 4 роки тому +1

    helped so much

  • @parthavipatil4964
    @parthavipatil4964 5 місяців тому +1

    imagine seriously comparing your math teacher to a 7 minute video (and the video winning)

  • @bugslerooni7145
    @bugslerooni7145 3 роки тому +5

    So helpful man. I got finals tmr lmao

  • @ShutUp359
    @ShutUp359 Рік тому

    Oh so I really wish that there was a version of the triangles that is the a SS triangle to complete the a and S Saga

  • @poornimasp1732
    @poornimasp1732 3 роки тому

    thank u for this video

  • @ChillButFunny
    @ChillButFunny 2 роки тому +1

    THANKS FOR THIS BRO…

  • @soulkingj8295
    @soulkingj8295 3 роки тому

    Thank you sooooo much