Triangle Congruence Proofs Practice with CPCTC!

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
Subscribe to Our Channel: www.youtube.co....

[@MashupMath]

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]

7th period geometry ;)

[@kierawilson6018]

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]

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]

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]

literally me rn, praying that I at least pass

[@user-vn8iw6xq3h]

@@samantha14843same i take mine in 4 days..

[@phoebe8602]

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

[@lexwilson3175]

Hey I’m here at lunch.

[@destroyedsettings5506]

@@lexwilson3175 same here

[@taylor25766]

Same

[@FieldDandelionProject]

how'd the exam go

[@thatbluecat1015]

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

[@soratoninx]

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!

[@brennanhammond3900]

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

[@talhahbhuiyan9390]

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!

[@charlesw4518]

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]

+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! :)

[@MashupMath]

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

[@allisonh2049]

+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]

I like to use the givens first :)

[@bonnie_wilson]

givens first

[@kennenmain3120]

Yeah given first

[@zacharym.530]

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]

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 :)

[@mervinmanatad6170]

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]

+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 :)

[@sutapachoudhury1520]

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

[@pabloralda6495]

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

[@brookekraus5895]

Thank you so much this was very helpful

[@MashupMath]

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

[@joseantonioperez5989]

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

[@bonecag3]

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

[@Veraplays]

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

[@charlesw4518]

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

[@MashupMath]

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

[@Jeova-n8t]

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

[@danielyusupov7585]

Thanks it really helped

[@MashupMath]

+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?

[@joshuaperling2985]

great videos! Nice animations, clearly explained!

[@Andrew-by4yi]

thank you soon much this really helped me😊

[@lorenajasma4033]

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

[@alexblanton9810]

This is super helpful thx

[@MashupMath]

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 :)

[@reeseveronicayamomo43]

Thank you for giving an idea for students 🥰

[@duncanahn4274]

This is genius

[@julianworld3848]

Good Job!

[@MashupMath]

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 :)

[@izzymondo8042]

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.

[@anahitakashani5930]

saaaame

[@alexandrosm.1626]

bro you helped me a lot tnx

[@blueknock]

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

[@Luke_Fesperman]

Yeah this is way more helpful than my geometry teacher

[@sadiahaider5817]

These theorems are making me crazy

[@krishkordic2319]

fr

[@dumbwithmilan]

fax

[@bess4210]

Thank you!

[@shirakersz894]

helped me a lot

[@AdityaVerma-hy2ey]

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

[@MashupMath]

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 :)

[@carol6432]

Thank you Jesus!

[@chasebriscoefan14]

Test tomorrow

[@soup5168]

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

[@fionahatton3902]

great video!

[@sofianasr12]

I have a test on this tomorrow :[

[@gemstonepoints]

Hope it went well!! So do I lol

[@JimPAnimation]

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

[@trekooda4170]

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

[@MrMeooowie]

the last one is pretty hard XD

[@sydneycollado8548]

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

[@xlilsoftiex3036]

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

[@Johnweely]

Does it matter what order you do the proof?

[@user-oe6hy9xs7z]

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

[@AnonMousE-mt4qs]

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

[@TheLaNadine]

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]

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.

[@JohnS-il1dr]

I always got the order wrong when listing proofs.

[@lorenzoamer8456]

Wait, so does anyone know what given means?

[@karinav8313]

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

[@Jsamul1]

Jesus loves you

[@rhysiesuccs]

im so cooked

[@bbb7863]

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

[@Grizzly01]

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

[@SmokeSeshCentral]

Anyone else think this math useless asf

[@kaylenburroughs4761]

still struggling

[@amorompoy7579]

Guys pa help Kong paano gawin

[@mithleshsingh1209]

Hi everyone

[@horse433]

Sup Anthony

[@MashupMath]

Hey, what's up!?

[@horse433]

+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

[@tanay2599]

im so flippin screwed

[@renren3370]

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

[@woobackk]

ily

[@user-oe6hy9xs7z]

why dont i understand still, am i just stupid?

[@bransonpage1114]

yeah that means ur stupid

[@kyliekandles8194]

I’m so stupid I still don’t get it 😑

[@user-oe6hy9xs7z]

literally samw😢

[@YeonsoolChoi]

Im cooked guys