Triangle Congruence Proofs Practice with CPCTC!

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  • Опубліковано 5 жов 2015
  • On this lesson, we will work through several triangle congruence Geometry Proofs Examples that focus on isosceles triangles, cpctc, the base angle theorem, reflexive property, segment bisector, and the addition postulate and you will learn how to complete two column proofs and triangle congruence proofs step by step!
    For more MashUp Math content, visit www.mashupmath.com and join our free mailing list! :)
    This lesson answers the questions: How can I prove that two triangles are congruent? How can I complete a geometry proof? How do I prove vertical angles are congruent? How do I use CPCTC? How can I study geometry proofs?
    Be sure to join our mailing list at www.mashupmath.com
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КОМЕНТАРІ • 98

  • @MashupMath
    @MashupMath  4 роки тому +16

    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 :)

    • @rememberme3762
      @rememberme3762 3 роки тому

      7th period geometry ;)

    • @kierawilson6018
      @kierawilson6018 6 місяців тому

      I have a question. How do you know what side/angle to start with after the given? For example the first proof, you started with CD is congruent with BD. Why start with that specific one, AD is congruent to AD. Why wouldn't that be first since it's like the first part of the given proof? I'm getting so confused with all the videos because I don't know what angle/side to start with after the given. Help?

  • @phoebe8602
    @phoebe8602 5 років тому +232

    "You're not just gonna get this over night"
    Me : oh no... Tomorrow is my exam..

  • @light.the.empire3833
    @light.the.empire3833 8 років тому +119

    Tbh this helped a ton. My teacher never explained anything so now here I am looking geometry videos up so I can pass my regents

    • @MashupMath
      @MashupMath  8 років тому +6

      Awesome! I'm so glad to hear that you found the lesson to be helpful and I hope that you can subscribe to our channel and share it with your friends and teachers--we could use the support! -Anthony :)

    • @samantha14843
      @samantha14843 3 місяці тому +2

      literally me rn, praying that I at least pass

    • @user-vn8iw6xq3h
      @user-vn8iw6xq3h Місяць тому

      @@samantha14843same i take mine in 4 days..

  • @soratoninx
    @soratoninx 6 років тому +39

    This channel should have been more well-known. I love this! Relearning these concepts because I need to take the SAT for senior year and you guys helped me out so much!

  • @thatbluecat1015
    @thatbluecat1015 7 місяців тому +6

    Its 1:30 am, I have a test over this today and these videos have helped so much!

  • @brennanhammond3900
    @brennanhammond3900 2 роки тому +15

    I was failing every assignment during this unit, I’m retaking the test tomorrow and this has been very helpful

  • @talhahbhuiyan9390
    @talhahbhuiyan9390 6 років тому +19

    This was helpful. I was struggling with this in geometry class, but now I completely grasp the concept. Thank you so much! You are a lifesaver!

  • @MashupMath
    @MashupMath  8 років тому +24

    When working on a proof, do you prefer to list the givens first, or add them as you use them?

    • @allisonh2049
      @allisonh2049 8 років тому +6

      +MashUp Math I usually have my students list all of the givens first and then check them off once they are finished using each one.

    • @bb.skylar178
      @bb.skylar178 8 років тому +8

      I like to use the givens first :)

    • @bonnie_wilson
      @bonnie_wilson 3 роки тому +1

      givens first

    • @kennenmain3120
      @kennenmain3120 3 роки тому

      Yeah given first

  • @pabloralda6495
    @pabloralda6495 7 років тому +2

    I have really struggled with proofs recently and I did the first one before getting the answer I got it right! Thanks Anthony

  • @joseantonioperez5989
    @joseantonioperez5989 4 роки тому +13

    Me reading the paper with this lesson doesnt understand me watching the video understands the lesson completely in one watch

  • @zacharym.530
    @zacharym.530 7 років тому +9

    When giving reasons, our teacher makes us write out the definitions in If-Then form. We also have to reference the step we used to come to that conclusion.

    • @MashupMath
      @MashupMath  7 років тому +2

      Cool! There are many difference ways to do proofs like this! I hope that you can subscribe to our channel and give this video a thumbs up! -Anthony :)

  • @charlesw4518
    @charlesw4518 8 років тому +5

    absolutely... I use your videos all the time for my int math 1 classes and algebra 1 classes. About 171 total students thank you for your videos

    • @MashupMath
      @MashupMath  8 років тому

      +Charles W Thanks a lot, dude! Seriously, that is very encouraging to hear! Feel free to ask us questions or to share your thoughts any time! :)

  • @mervinmanatad6170
    @mervinmanatad6170 8 років тому +13

    I shared this video to m y whole class and we did better in the quiz we had than our activities. THANK YOU< NEVER STOP DOING VIDEOS AND SHARING YOUR KNOWLEDGE TO THE WORLD!! :)

    • @MashupMath
      @MashupMath  8 років тому +1

      +mervin manatad Aw thanks! Seriously, the fact that you and your classmates found the lesson helpful means a lot. If you have a sec, please subscribe to our channel-we could really use the support! -Anthony :)

  • @Veraplays
    @Veraplays 4 роки тому +2

    Excellent Video !! came here to remember how to do the proofs. Really good tips :)

  • @brookekraus5895
    @brookekraus5895 8 років тому +12

    Thank you so much this was very helpful

    • @MashupMath
      @MashupMath  8 років тому +2

      +brooke Kraus Glad we were able to help! Hope you can subscribe to our channel and share it with your classmates! -Anthony :)

  • @sutapachoudhury1520
    @sutapachoudhury1520 6 років тому +1

    really Sir you explain better than our maths teacher...

  • @bonecag3
    @bonecag3 3 роки тому +1

    Thank you so much!!! I understood these explanations more than the one my teacher gave me lol

  • @lorenajasma4033
    @lorenajasma4033 5 років тому

    very clear explanation. it really helped me a lot. thank you very much

  • @bess4210
    @bess4210 7 років тому +1

    Thank you!

  • @duncanahn4274
    @duncanahn4274 7 місяців тому +1

    This is genius

  • @fionahatton3902
    @fionahatton3902 5 років тому

    great video!

  • @reeseveronicayamomo43
    @reeseveronicayamomo43 3 роки тому

    Thank you for giving an idea for students 🥰

  • @Andrew-by4yi
    @Andrew-by4yi 7 років тому +2

    thank you soon much this really helped me😊

  • @charlesw4518
    @charlesw4518 8 років тому +5

    can you do more proofs for int math of solving proofs on triangle congruence and more geometric proofs involving interior angles?

    • @MashupMath
      @MashupMath  8 років тому +4

      +Charles W Of course! Stay tuned--we add new lessons every Monday-Thursday. Did you find this one helpful?

  • @sadiahaider5817
    @sadiahaider5817 2 роки тому +5

    These theorems are making me crazy

  • @danielyusupov7585
    @danielyusupov7585 8 років тому +4

    Thanks it really helped

    • @MashupMath
      @MashupMath  8 років тому

      +Daniel Yusupov That's awesome to hear! Please subscribe to our channel if you find our lessons helpful--we add new ones every week. Are you currently studying geometry?

  • @alexandrosm.1626
    @alexandrosm.1626 5 років тому +1

    bro you helped me a lot tnx

  • @Luke_Fesperman
    @Luke_Fesperman 2 роки тому

    Yeah this is way more helpful than my geometry teacher

  • @julianworld3848
    @julianworld3848 7 років тому +3

    Good Job!

    • @MashupMath
      @MashupMath  7 років тому

      Thanks! I'm so glad that you found the lesson to be helpful and hope that you can subscribe to our channel and continue learning with us! -Anthony :)

  • @shirakersz894
    @shirakersz894 2 роки тому

    helped me a lot

  • @user-no4le9wx1c
    @user-no4le9wx1c Рік тому

    bro i have a exam tmrw and this helped so much thank you

  • @blueknock
    @blueknock 3 роки тому +2

    IM SO COnfused cause theres a similar triangle on 2:49 but the answer to mine was SAS and there was only one symbol. I dDont get how people determine the theorem when theres no info

  • @JimPAnimation
    @JimPAnimation 2 роки тому

    What if my geometry book doesn't have cpctc? Am I supposed to find another way to get there? Isn't there a master list of "reasons" that you can use universally despite what curriculum you're using? Thank you

  • @joshuaperling2985
    @joshuaperling2985 3 роки тому +2

    great videos! Nice animations, clearly explained!

  • @chasebriscoefan14
    @chasebriscoefan14 6 місяців тому +2

    Test tomorrow

  • @sydneycollado8548
    @sydneycollado8548 7 років тому

    umm its a right triangle is it suppose to be Hyl or LL congruence??

  • @izzymondo8042
    @izzymondo8042 5 років тому +1

    i am currently taking geometry two years early and have been confused about this topic. can you please make a video about how to learn the reasons better.

  • @soup5168
    @soup5168 Рік тому +1

    i feel like my geometry teacher wants us to write a 3 page essay saying how a triangle is the same as the one next to it, so frustrating bruh

  • @Jun15
    @Jun15 6 років тому +2

    the last one is pretty hard XD

  • @AdityaVerma-hy2ey
    @AdityaVerma-hy2ey 8 років тому +1

    Can you please explain how segment EH and EJ are congruent?

    • @MashupMath
      @MashupMath  8 років тому +1

      Once you show that the base angles of triangle EHJ are congruent, then you know that it must be an ISOSCELES triangle (by definition). Since the sides opposite the congruent angles in any isosceles triangle are also congruent, you know that EH and EJ must have the same length. Does this help? -Anthony :)

  • @xlilsoftiex3036
    @xlilsoftiex3036 3 роки тому +2

    Thank youuu!! I'm in 8th grade lol

  • @AnonMousE-mt4qs
    @AnonMousE-mt4qs 2 роки тому

    A video that was posted when I was 7 is helping me pass 9th grades final exam 🚬🗿

  • @TheLaNadine
    @TheLaNadine 3 роки тому

    I have a similar problem to the triangle at 3:20 but can't help find any examples! The givens are GE is congruent to FE, and angle GEJ is congruent to angle FEH. I need to prove that triangle GEH is congruent to FEJ. ahh help!

    • @Grizzly01
      @Grizzly01 2 роки тому

      GE ≅ FE Given
      △GEF is isosceles
      ∠EGH ≅ ∠EFJ by base angle theorem
      ∠GEJ ≅ ∠FEH Given
      △GEJ ≅ △FEH by ASA
      ∠EJG ≅ ∠EHF by CPCTC
      ∠GHE ≅ ∠FJE by supplementary angle theorem
      △GEH ≅ △FEJ by AAS
      That should work, but there's no doubt a more elegant way of doing it.

  • @carol6432
    @carol6432 5 років тому +4

    Thank you Jesus!

  • @sofianasr12
    @sofianasr12 2 роки тому +1

    I have a test on this tomorrow :[

  • @Johnweely
    @Johnweely 8 місяців тому

    Does it matter what order you do the proof?

    • @user-oe6hy9xs7z
      @user-oe6hy9xs7z 6 місяців тому

      nope, if they say it does, theyre js stupid. As long as the first and last statements are the same, it doesnt matter too much

  • @trekooda4170
    @trekooda4170 3 роки тому

    I am having a problem knowing which step come first or known the steps in order

  • @lorenzoamer8456
    @lorenzoamer8456 3 роки тому +1

    Wait, so does anyone know what given means?

    • @karinav8313
      @karinav8313 3 роки тому +1

      it’s just what ur given about the problem, hence the name given. :)

  • @JohnS-il1dr
    @JohnS-il1dr Рік тому

    I always got the order wrong when listing proofs.

  • @rhysiesuccs
    @rhysiesuccs Місяць тому +5

    im so cooked

  • @mithleshsingh1209
    @mithleshsingh1209 6 років тому

    Hi everyone

  • @SmokeSeshCentral
    @SmokeSeshCentral 5 років тому +5

    Anyone else think this math useless asf

  • @horse433
    @horse433 8 років тому

    Sup Anthony

    • @MashupMath
      @MashupMath  8 років тому

      Hey, what's up!?

    • @horse433
      @horse433 8 років тому +1

      +MashUp Math I really appreciate this video. My teacher will give me a kiss if I get an A on my quiz. He is really hot

  • @woobackk
    @woobackk 5 років тому

    ily

  • @tanay2599
    @tanay2599 21 день тому

    im so flippin screwed

  • @renren3370
    @renren3370 3 роки тому

    I USED TO NOT KNOW WHAT CPCTC WAS LOL MATH PLS WHY

  • @Jsamul1
    @Jsamul1 7 років тому +4

    Jesus loves you

  • @amorompoy7579
    @amorompoy7579 Рік тому

    Guys pa help Kong paano gawin

  • @bbb7863
    @bbb7863 4 роки тому

    Wait for the first one could you have only used the first given to prove that angle c and b are congruent

    • @Grizzly01
      @Grizzly01 2 роки тому

      Yes, you could, as it shows that △ABC is isosceles, and then use the base angle theorem to prove that ∠C ≅ ∠B

  • @kaylenburroughs4761
    @kaylenburroughs4761 Рік тому

    still struggling

  • @user-oe6hy9xs7z
    @user-oe6hy9xs7z 6 місяців тому

    why dont i understand still, am i just stupid?

  • @kyliekandles8194
    @kyliekandles8194 3 роки тому

    I’m so stupid I still don’t get it 😑

  • @alexblanton9810
    @alexblanton9810 7 років тому +3

    This is super helpful thx

    • @MashupMath
      @MashupMath  7 років тому

      Thanks for the comment, Alex! I'm so glad that you found the lesson to be helpful and I hope that you can subscribe to our channel! -Anthony :)