Triangle Congruence Theorems Explained: ASA, AAS, HL

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  • Опубликовано: 8 июл 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

Комментарии • 529

  • @MashupMath
    @MashupMath  4 года назад +100

    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 года назад +3

      Nice job with those videos.

    • @dharanidharan.m9413
      @dharanidharan.m9413 3 года назад +3

      Best guy in the world

    • @katherinegarnicasuarez
      @katherinegarnicasuarez 3 года назад +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 года назад

      Yes

    • @kalaiselvi7374
      @kalaiselvi7374 2 года назад +1

      Subscribed teacher. Thank you for your videos

  • @theswag9477
    @theswag9477 4 года назад +871

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

  • @luigibenc
    @luigibenc 7 лет назад +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 лет назад +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 лет назад +7

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

    • @cookie-jk1ph
      @cookie-jk1ph 4 года назад +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 года назад +3

      Teachers need help

    • @wishyfxshy6362
      @wishyfxshy6362 3 года назад

      i literally have a quiz tomorrow!!

  • @blakekeller5584
    @blakekeller5584 3 года назад +492

    bro who else has a test tomorrow💀


    • @MatthewWalden
      @MatthewWalden 3 года назад +10

      me me me me me me me me me me me
      and me

    • @wjw8w8whhe
      @wjw8w8whhe 3 года назад +12

      Lmao I'm in class and don't know what I'm doing

    • @cryptic9007
      @cryptic9007 3 года назад +19

      I actually have a test right now lmao

    • @quaranfree6584
      @quaranfree6584 3 года назад +4

      Me lol

    • @shavarbradley2774
      @shavarbradley2774 3 года назад +6

      I got finals next week

  • @cupibori
    @cupibori 3 года назад +302

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

  • @chrissiec2123
    @chrissiec2123 7 лет назад +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 лет назад +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 лет назад +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 лет назад

      Very helpful

    • @naomia472
      @naomia472 3 года назад +1

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

    • @agastya_10a57
      @agastya_10a57 2 года назад

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

  • @nono9291
    @nono9291 4 года назад +1060

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

  • @laceyevelynn4836
    @laceyevelynn4836 3 года назад +251

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

  • @msstephanie726
    @msstephanie726 3 года назад +87

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

    • @wh00lio
      @wh00lio 3 года назад +11

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

    • @NokiGamG
      @NokiGamG 3 года назад +1

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

    • @shanmithvarma6480
      @shanmithvarma6480 Год назад

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

    • @fahmiaalshawhati4290
      @fahmiaalshawhati4290 7 месяцев назад

      ong

  • @JahangirAlam-vd2hg
    @JahangirAlam-vd2hg 2 года назад +9

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

  • @maryanne5280
    @maryanne5280 4 года назад +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 года назад +8

      it's okay bro, me too

    • @hayleynavarro8844
      @hayleynavarro8844 3 года назад +1

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

    • @katherinegarnicasuarez
      @katherinegarnicasuarez 3 года назад +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 года назад +6

      Just cheat

    • @HumnaKhan9
      @HumnaKhan9 3 года назад

      @@xochxrry6857 EXACTLYY HAH

  • @juaquinpineda558
    @juaquinpineda558 8 лет назад +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 лет назад +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 лет назад +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 RUclips about this lesson. Then I stumbled upon this page, which is completely rad! Thanks, really!

    • @MashupMath
      @MashupMath  8 лет назад +1

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

  • @MisterGoose
    @MisterGoose 4 года назад +10

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

  • @brahimtchouk5957
    @brahimtchouk5957 3 года назад +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 месяцев назад

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

  • @kevinpizana6303
    @kevinpizana6303 3 года назад +33

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

    • @Max-ei2ys
      @Max-ei2ys 3 года назад +6

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

    • @lillyyourfriend4793
      @lillyyourfriend4793 3 года назад +9

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

    • @naomia472
      @naomia472 3 года назад

      Fr

    • @cupibori
      @cupibori 3 года назад

      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 года назад

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

  • @mrikmathteacher5157
    @mrikmathteacher5157 3 года назад +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

  • @keplerr1512
    @keplerr1512 3 года назад +50

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

    • @daphnebailey6223
      @daphnebailey6223 2 года назад

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

  • @ymm424
    @ymm424 6 лет назад +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.

  • @navneethnalajala1671
    @navneethnalajala1671 4 года назад +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!

  • @kennedyjackson5950
    @kennedyjackson5950 7 лет назад +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 Год назад +1

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

  • @soupdahloop
    @soupdahloop 3 года назад +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

  • @brendanadcock8810
    @brendanadcock8810 4 года назад +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

  • @pickledbreadproductions
    @pickledbreadproductions Год назад

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

  • @Reesentlyy
    @Reesentlyy 3 года назад +3

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

  • @spoopstiel5806
    @spoopstiel5806 4 года назад +1

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

  • @melissam6588
    @melissam6588 2 года назад +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😭😭😭

  • @omarismail1795
    @omarismail1795 3 года назад +1

    You sir are an absolute legend!

  • @sovaki5716
    @sovaki5716 2 года назад +3

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

  • @amberuidenich5477
    @amberuidenich5477 5 лет назад +1

    Love your videos!

  • @mayank8446
    @mayank8446 4 года назад +2

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

  • @battlesnails_
    @battlesnails_ 6 лет назад +6

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

    • @azreledxtz
      @azreledxtz Год назад +1

      You probably graduated 💀

  • @Ditto_Mitto
    @Ditto_Mitto Год назад

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

  • @rjayajaswanth
    @rjayajaswanth 2 года назад

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

  • @catthebatflute
    @catthebatflute 9 месяцев назад +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

  • @Luke_Fesperman
    @Luke_Fesperman 2 года назад

    This is my favorite youtube channel now:

  • @PTC_Tones
    @PTC_Tones 5 лет назад

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

  • @lilvinegar592
    @lilvinegar592 3 года назад +2

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

  • @fourzry
    @fourzry 3 года назад +12

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

  • @geoffyoung3012
    @geoffyoung3012 3 года назад +2

    Great video thanks

  • @edwardosechrist7838
    @edwardosechrist7838 2 года назад

    This video ROCKS!

  • @user-gc9gx3yr1r
    @user-gc9gx3yr1r 5 лет назад +1

    Thank you very much and nice editing bro.

  • @almaasdutoit8490
    @almaasdutoit8490 2 года назад

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

  • @jishnuanirudh1823
    @jishnuanirudh1823 8 лет назад

    Very easy to understand and awesome explanation thank u . Subscribed

  • @cheriexbearr249
    @cheriexbearr249 3 года назад

    This helped me so much thanks a lot!!!

  • @gamingwithcorona4070
    @gamingwithcorona4070 2 года назад +1

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

  • @donnablankenbecler8914
    @donnablankenbecler8914 7 лет назад +1

    Nice job!!!

  • @alisonw4002
    @alisonw4002 2 года назад

    Thanks, this was helpful for my students :)

  • @jk.03
    @jk.03 6 лет назад

    Thank you. Helped a lot.

  • @averyfretwell1809
    @averyfretwell1809 3 года назад +3

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

  • @aratisingh914
    @aratisingh914 5 лет назад +1

    Your videos are very good understandable.Thanks subscribed and liked

  • @LosizakII
    @LosizakII 2 года назад

    This was great. Thank you :)

  • @addusaikiran2944
    @addusaikiran2944 5 лет назад +1

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

  • @MattFoley-nz2cp
    @MattFoley-nz2cp 7 месяцев назад

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

  • @adalawad8668
    @adalawad8668 2 года назад

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

  • @jessicaangel4944
    @jessicaangel4944 4 года назад +1

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

  • @i_want_bleach__2894
    @i_want_bleach__2894 3 года назад +2

    RUclips has always been helpful compared to teachers

  • @user-yq6pe4vn4g
    @user-yq6pe4vn4g 4 месяца назад

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

  • @israphelperry2390
    @israphelperry2390 7 лет назад +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 лет назад

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

  • @brosamjgd
    @brosamjgd 6 лет назад +2

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

  • @jodinardella3011
    @jodinardella3011 3 года назад +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?

  • @hasnatfahar6808
    @hasnatfahar6808 7 лет назад +2

    nice video man

  • @bayleighwestra
    @bayleighwestra 3 года назад

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

  • @aniyahsaraii
    @aniyahsaraii 4 месяца назад

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

  • @mrunknown8139
    @mrunknown8139 3 года назад +1

    Thanks to explain this topic my all doubt is clear

  • @anzeiru5871
    @anzeiru5871 4 года назад

    This vid helped me so much

  • @amack_seatown1932
    @amack_seatown1932 6 месяцев назад +1

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

  • @pixie_the_furry
    @pixie_the_furry Год назад +1

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

  • @aidanjoa6261
    @aidanjoa6261 4 года назад +1

    I understand now Merci!

  • @sloaneversoza7010
    @sloaneversoza7010 3 года назад

    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

  • @fiddlesticks6146
    @fiddlesticks6146 3 года назад +2

    thank you so much

  • @dananjasusantha8463
    @dananjasusantha8463 3 года назад

    Thank u so much bro.

  • @etherealbear1
    @etherealbear1 3 года назад +2

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

  • @Zan-rk6mw
    @Zan-rk6mw 3 года назад +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 :-)

  • @dewren7719
    @dewren7719 3 года назад

    Well illustrated 🙏😁

  • @geraldinelarayos1144
    @geraldinelarayos1144 4 года назад +2

    NICE!

  • @tinimunson1242
    @tinimunson1242 2 года назад +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.

  • @shaikhafsa4503
    @shaikhafsa4503 7 лет назад +1

    superb and easy

  • @HichtedHailXbox
    @HichtedHailXbox 4 года назад +1

    helped so much

  • @vicky_aluko.a
    @vicky_aluko.a 2 года назад

    Thank you! God bless you

  • @Sonimod
    @Sonimod 2 года назад

    Thanks! 👍

  • @lamtuyenphanthi7112
    @lamtuyenphanthi7112 7 лет назад +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 RUclips clip.

  • @abbeyr6855
    @abbeyr6855 2 года назад +1

    thank u so much

  • @ChillButFunny
    @ChillButFunny 2 года назад +1

    THANKS FOR THIS BRO…

  • @croix2205
    @croix2205 2 года назад

    thank you sir!

  • @muhammadamin7487
    @muhammadamin7487 Год назад

    Good.
    Thanks.

  • @CookiehsAndDreams
    @CookiehsAndDreams 2 года назад

    as someone with an attention disorder, these things are lifesavers

  • @scifidude4995
    @scifidude4995 6 месяцев назад

    Thank you so much

  • @halamohammed6182
    @halamohammed6182 3 года назад +1

    THANK YOU

  • @soulkingj8295
    @soulkingj8295 3 года назад

    Thank you sooooo much

  • @poornimasp1732
    @poornimasp1732 3 года назад

    thank u for this video

  • @raymondllamado9942
    @raymondllamado9942 5 лет назад

    good job Brother

  • @Akumu-Kun-0
    @Akumu-Kun-0 Месяц назад

    Damn. 8 Years. Thank you for this video

  • @ShutUp359
    @ShutUp359 Год назад

    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

  • @ArmanAloian
    @ArmanAloian 2 года назад

    mans just taught me math in 7 minutes that I've been learning for months

  • @catherinekaminski112
    @catherinekaminski112 3 года назад +4

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

  • @adamhall7100
    @adamhall7100 4 года назад +12

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

    • @adrienchen
      @adrienchen 2 года назад +1

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

  • @myrnamalabuet9459
    @myrnamalabuet9459 2 года назад

    Thank you 😘😘

  • @rajivsonu7987
    @rajivsonu7987 8 лет назад +3

    good explanation easy to understand. should have named the vertices

    • @MashupMath
      @MashupMath  8 лет назад

      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 ;)

  • @sandeepsingh-cq9tj
    @sandeepsingh-cq9tj 3 года назад +1

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