Triangle Congruence Proofs Practice with CPCTC!

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  • เผยแพร่เมื่อ 29 ส.ค. 2024
  • 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?
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ความคิดเห็น • 98

  • @MashupMath
    @MashupMath  4 ปีที่แล้ว +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 ปีที่แล้ว

      7th period geometry ;)

    • @kierawilson6018
      @kierawilson6018 7 หลายเดือนก่อน

      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?

  • @light.the.empire3833
    @light.the.empire3833 8 ปีที่แล้ว +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 ปีที่แล้ว +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 4 หลายเดือนก่อน +2

      literally me rn, praying that I at least pass

    • @user-vn8iw6xq3h
      @user-vn8iw6xq3h 2 หลายเดือนก่อน

      @@samantha14843same i take mine in 4 days..

  • @phoebe8602
    @phoebe8602 5 ปีที่แล้ว +234

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

  • @soratoninx
    @soratoninx 6 ปีที่แล้ว +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 8 หลายเดือนก่อน +6

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

  • @brennanhammond3900
    @brennanhammond3900 2 ปีที่แล้ว +15

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

  • @talhahbhuiyan9390
    @talhahbhuiyan9390 6 ปีที่แล้ว +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!

  • @zacharym.530
    @zacharym.530 7 ปีที่แล้ว +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 ปีที่แล้ว +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 ปีที่แล้ว +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 ปีที่แล้ว

      +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 ปีที่แล้ว +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 ปีที่แล้ว +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 :)

  • @pabloralda6495
    @pabloralda6495 7 ปีที่แล้ว +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 ปีที่แล้ว +13

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

  • @MashupMath
    @MashupMath  9 ปีที่แล้ว +24

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

    • @allisonh2049
      @allisonh2049 8 ปีที่แล้ว +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 ปีที่แล้ว +8

      I like to use the givens first :)

    • @bonnie_wilson
      @bonnie_wilson 4 ปีที่แล้ว +1

      givens first

    • @kennenmain3120
      @kennenmain3120 3 ปีที่แล้ว

      Yeah given first

  • @sutapachoudhury1520
    @sutapachoudhury1520 6 ปีที่แล้ว +1

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

  • @brookekraus5895
    @brookekraus5895 8 ปีที่แล้ว +12

    Thank you so much this was very helpful

    • @MashupMath
      @MashupMath  8 ปีที่แล้ว +2

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

  • @Veraplays
    @Veraplays 4 ปีที่แล้ว +2

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

  • @bonecag3
    @bonecag3 3 ปีที่แล้ว +1

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

  • @charlesw4518
    @charlesw4518 8 ปีที่แล้ว +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 ปีที่แล้ว +4

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

  • @duncanahn4274
    @duncanahn4274 8 หลายเดือนก่อน +1

    This is genius

  • @blueknock
    @blueknock 3 ปีที่แล้ว +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

  • @user-no4le9wx1c
    @user-no4le9wx1c ปีที่แล้ว

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

  • @lorenajasma4033
    @lorenajasma4033 5 ปีที่แล้ว

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

  • @sadiahaider5817
    @sadiahaider5817 2 ปีที่แล้ว +5

    These theorems are making me crazy

  • @joshuaperling2985
    @joshuaperling2985 3 ปีที่แล้ว +2

    great videos! Nice animations, clearly explained!

  • @Andrew-by4yi
    @Andrew-by4yi 7 ปีที่แล้ว +2

    thank you soon much this really helped me😊

  • @danielyusupov7585
    @danielyusupov7585 8 ปีที่แล้ว +4

    Thanks it really helped

    • @MashupMath
      @MashupMath  8 ปีที่แล้ว

      +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?

  • @izzymondo8042
    @izzymondo8042 5 ปีที่แล้ว +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.

  • @reeseveronicayamomo43
    @reeseveronicayamomo43 3 ปีที่แล้ว

    Thank you for giving an idea for students 🥰

  • @carol6432
    @carol6432 5 ปีที่แล้ว +4

    Thank you Jesus!

  • @SmokeSeshCentral
    @SmokeSeshCentral 5 ปีที่แล้ว +5

    Anyone else think this math useless asf

  • @julianworld3848
    @julianworld3848 7 ปีที่แล้ว +3

    Good Job!

    • @MashupMath
      @MashupMath  7 ปีที่แล้ว

      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 :)

  • @Luke_Fesperman
    @Luke_Fesperman 2 ปีที่แล้ว

    Yeah this is way more helpful than my geometry teacher

  • @alexandrosm.1626
    @alexandrosm.1626 5 ปีที่แล้ว +1

    bro you helped me a lot tnx

  • @bess4210
    @bess4210 7 ปีที่แล้ว +1

    Thank you!

  • @soup5168
    @soup5168 ปีที่แล้ว +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

  • @JimPAnimation
    @JimPAnimation 2 ปีที่แล้ว

    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

  • @AdityaVerma-hy2ey
    @AdityaVerma-hy2ey 8 ปีที่แล้ว +1

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

    • @MashupMath
      @MashupMath  8 ปีที่แล้ว +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 :)

  • @trekooda4170
    @trekooda4170 3 ปีที่แล้ว

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

  • @shirakersz894
    @shirakersz894 2 ปีที่แล้ว

    helped me a lot

  • @chasebriscoefan14
    @chasebriscoefan14 7 หลายเดือนก่อน +2

    Test tomorrow

  • @fionahatton3902
    @fionahatton3902 5 ปีที่แล้ว

    great video!

  • @sydneycollado8548
    @sydneycollado8548 7 ปีที่แล้ว

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

  • @rhysiesuccs
    @rhysiesuccs 2 หลายเดือนก่อน +7

    im so cooked

  • @Johnweely
    @Johnweely 10 หลายเดือนก่อน

    Does it matter what order you do the proof?

    • @user-oe6hy9xs7z
      @user-oe6hy9xs7z 7 หลายเดือนก่อน

      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

  • @TheLaNadine
    @TheLaNadine 3 ปีที่แล้ว

    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 3 ปีที่แล้ว

      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.

  • @AnonMousE-mt4qs
    @AnonMousE-mt4qs 2 ปีที่แล้ว

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

  • @MrMeooowie
    @MrMeooowie 6 ปีที่แล้ว +2

    the last one is pretty hard XD

  • @xlilsoftiex3036
    @xlilsoftiex3036 3 ปีที่แล้ว +2

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

  • @JohnS-il1dr
    @JohnS-il1dr ปีที่แล้ว

    I always got the order wrong when listing proofs.

  • @sofianasr12
    @sofianasr12 2 ปีที่แล้ว +1

    I have a test on this tomorrow :[

    • @gemstonepoints
      @gemstonepoints 2 ปีที่แล้ว

      Hope it went well!! So do I lol

  • @lorenzoamer8456
    @lorenzoamer8456 3 ปีที่แล้ว +1

    Wait, so does anyone know what given means?

    • @karinav8313
      @karinav8313 3 ปีที่แล้ว +1

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

  • @Jsamul1
    @Jsamul1 7 ปีที่แล้ว +4

    Jesus loves you

  • @bbb7863
    @bbb7863 4 ปีที่แล้ว

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

    • @Grizzly01
      @Grizzly01 3 ปีที่แล้ว

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

  • @kaylenburroughs4761
    @kaylenburroughs4761 2 ปีที่แล้ว

    still struggling

  • @amorompoy7579
    @amorompoy7579 ปีที่แล้ว

    Guys pa help Kong paano gawin

  • @tanay2599
    @tanay2599 หลายเดือนก่อน

    im so flippin screwed

  • @mithleshsingh1209
    @mithleshsingh1209 6 ปีที่แล้ว

    Hi everyone

  • @renren3370
    @renren3370 3 ปีที่แล้ว

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

  • @user-oe6hy9xs7z
    @user-oe6hy9xs7z 7 หลายเดือนก่อน

    why dont i understand still, am i just stupid?

    • @bransonpage1114
      @bransonpage1114 6 หลายเดือนก่อน

      yeah that means ur stupid

  • @kyliekandles8194
    @kyliekandles8194 3 ปีที่แล้ว

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

  • @woobackk
    @woobackk 5 ปีที่แล้ว

    ily

  • @horse433
    @horse433 8 ปีที่แล้ว

    Sup Anthony

    • @MashupMath
      @MashupMath  8 ปีที่แล้ว

      Hey, what's up!?

    • @horse433
      @horse433 8 ปีที่แล้ว +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

  • @alexblanton9810
    @alexblanton9810 7 ปีที่แล้ว +3

    This is super helpful thx

    • @MashupMath
      @MashupMath  7 ปีที่แล้ว

      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 :)