Geometry - Proofs for Triangles
ฝัง
- เผยแพร่เมื่อ 18 ต.ค. 2012
- Proofs give students much trouble, so let's give them some trouble back! In this lesson we cover the four main methods of proving triangles congruent, including SSS, SAS, ASA, and AAS. We cover CPCTC as well. In the two proofs covered, one involves parallel lines and the other triangles back to back, using the reflexive property. YAY MATH!
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lol youre really patient too. my geometry teacher would yell at a student if they answered for her or answered out loud without being called.
then again i could see why she'd yell. i'd be annoyed if someone spoke over me but also theres too many people talking at once.
PREACHHHH
MY GEOMETRY TEACHER WILL JUST YELL IN GENERAL
And Jacob called unto his sons, and said, Gather yourselves together, that I may tell you that which shall befall you in the last days.
2 Gather yourselves together, and hear, ye sons of Jacob; and hearken unto Israel your father.
3 ¶ Reuben, thou art my firstborn, my might, and the beginning of my strength, the excellency of dignity, and the excellency of power:
4 Unstable as water, thou shalt not excel; because thou wentest up to thy father’s bed; then defiledst thou it: he went up to my couch.
5 ¶ Simeon and Levi are brethren; instruments of cruelty are intheir habitations.
6 O my soul, come not thou into their secret; unto their assembly, mine honour, be not thou united: for in their anger they slew a man, and in their selfwill they digged down a wall.
7 Cursed be their anger, for it was fierce; and their wrath, for it was cruel: I will divide them in Jacob, and scatter them in Israel.
8 ¶ Judah, thou art he whom thy brethren shall praise: thy hand shall be in the neck of thine enemies; thy father’s children shall bow down before thee.
9 Judah is a lion’s whelp: from the prey, my son, thou art gone up: he stooped down, he couched as a lion, and as an old lion; who shall rouse him up?
10 The sceptre shall not depart from Judah, nor a lawgiver from between his feet, until Shiloh come; and unto him shall the gathering of the people be.
11 Binding his foal unto the vine, and his ass’s colt unto the choice vine; he washed his garments in wine, and his clothes in the bloodof grapes:
12 His eyes shall be red with wine, and his teeth white with milk.
13 ¶ Zebulun shall dwell at the haven of the sea; and he shall be for an haven of ships; and his border shall be unto Zidon.
14 ¶ Issachar is a strong ass couching down between two burdens:
15 And he saw that rest was good, and the land that it was pleasant; and bowed his shoulder to bear, and became a servant unto tribute.
16 ¶ Dan shall judge his people, as one of the tribes of Israel.
17 Dan shall be a serpent by the way, an adder in the path, that biteth the horse heels, so that his rider shall fall backward.
18 I have waited for thy salvation, O Lord.
19 ¶ Gad, a troop shall overcome him: but he shall overcome at the last.
20 ¶ Out of Asher his bread shall be fat, and he shall yield royal dainties.
21 ¶ Naphtali is a hind let loose: he giveth goodly words.
22 ¶ Joseph is a fruitful bough, even a fruitful bough by a well; whose branches run over the wall:
23 The archers have sorely grieved him, and shot at him, and hated him:
24 But his bow abode in strength, and the arms of his hands were made strong by the hands of the mighty God of Jacob; (from thenceis the shepherd, the stone of Israel:)
25 Even by the God of thy father, who shall help thee; and by the Almighty, who shall bless thee with blessings of heaven above, blessings of the deep that lieth under, blessings of the breasts, and of the womb:
26 The blessings of thy father have prevailed above the blessings of my progenitors unto the utmost bound of the everlasting hills: they shall be on the head of Joseph, and on the crown of the head of him that was separate from his brethren.
27 ¶ Benjamin shall ravin as a wolf: in the morning he shall devour the prey, and at night he shall divide the spoil.
28 ¶ All these are the twelve tribes of Israel: and this is it that their father spake unto them, and blessed them; every one according to his blessing he blessed them.
29 And he charged them, and said unto them, I am to be gathered unto my people: bury me with my fathers in the cave that is in the field of Ephron the Hittite,
30 In the cave that is in the field of Machpelah, which is before Mamre, in the land of Canaan, which Abraham bought with the field of Ephron the Hittite for a possession of a buryingplace.
31 There they buried Abraham and Sarah his wife; there they buried Isaac and Rebekah his wife; and there I buried Leah.
32 The purchase of the field and of the cave that is therein wasfrom the children of Heth.
33 And when Jacob had made an end of commanding his sons, he gathered up his feet into the bed, and yielded up the ghost, and was gathered unto his people.
@@symbolbouchardnoteira8155 Not here to talk about geometry? then make like a tree and leave. We're here to talk about the hardest form of math ever devised.
imagine your math teacher actually teaching u how to do the math
facts
i could never
too real, he's excellent!
Omg I love this teacher!! I wish I had him. Mine is so boring and too fast :c
sucks for you
same
Ive been so confused all week in class and I have a test tomorrow, this video helped me understand a lot better. Thank you.
Brett Lamoriello same I got test on this for my honors class tomorrow
me too
Same I have a test for this in history tomorrow and I’m in 5th grade
Beri Peric same
@@loganfraser6727 tf how
I WISH YOU WERE MY GEOMETRY TEACHER YOUR THE BEST!!!!
You're*
AccidentalProne Thank's grammar Nazi.
SwahilliBjorn *Thanks
haha so funny jonathan picking on someone for grammar and spelling when you can't even spell "known" right. ironic.... isn't it?
@@Average_Pleb km km
So happy these videos are able to help you learn. Yay YOU!
so glad I found you ! wow does my teacher makes it extremely complicated, when youre lost she just says "figure it out with your neighbors" .... well thanks for taking your time and helping us ! much appreciated
So fortunate, classroom looks so small; therefore, it would make sense that you would learn better. Also, this teacher looks very awesome!
Oh My Gosh, thank you! I was struggling with geometry because of these annoying proofs, but the way you teach made it look so simple. I cannot thank you enough because i am positive I can pass geometry with your videos, i was falling behind because I was so confused. I just wanted to give you the feedback
Love your reply
I wish I had him as a teacher
Your videos are so helpful. I wish you were my geometry teacher.
I am a special educator who is not a math content area specialist so I often I need to learn geometry from different angles to be able to respond in confidence to student inquires: You help give me clarity and I feel better about introducing this in the upcoming year. And your rapport with students and the comfortable learning environment you've created is amazing.Great job!
You and your class are legends. Thank you for make up for my slacking teacher.
I did *not* expect to understand that, especially since we didn't learn proofs in geo yet and I'm here from curiosity, but wow. I think I get it!
This may be 11 years old (math hasn't changed yet)...
but I am 15 and this was so helpful to this day, thank you!
Hi Anna, thank you for your message. The beauty of math, one of them anyway, is that it's "evergreen". Doesn't change with the times.
Hi my daughter watched you video to help with proofs and she really understood a lot better through your teaching. How can I schedule her for online tutoring with you? She is in Honors Geometry and struggling.
Hi Mr./Ms. Thomas, thanks for your message. I'd love to help out, please contact me directly, robert @ yaymath dot org. Thank you!
+yaymath Please dont say Mr./Mrs. as it is an agenderphobic microagression. Thank you
+Hunter Lebow was that really necessary?
+Hunter Lebow you have X-X and chromosomes or you have X-Y chromosomes so there is none of that misgender BS
+KA Thomas i have the same problem lol, my teacher really expects us to comprehend the information than go over it step by step.
This video helped me SO much! Ive been failing math because I wasn't understanding proofs but this video really helped me understand them more
I love your approach to math. It has been so helpful in helping me to pass the CSET. I am an aspiring teacher and I hope to have this positive, encouraging and helpful approach with my students. Thank you.
Omg bless this teacher!!!!! This helped me so much and I have my geometry EOC tomorrow and I've learned more in 25 minutes than 7 months. I wish my teacher used the board like this and had patience. Not fair.
Arianna The Vlogger ur the one to blame . u had 7 months to learn different concepts for ur eoc .but ur jus tryna cram in the day bfo
Your teaching is perfect! I'm in honors geometry and my teacher doesn't explain well so I had to look here. Thanks to you I understand all of it! THANK YOU
I can't wrap my head around proofs right now in geometry and I don't wanna loose my A . I'm actually surprised I have an A cause I usually struggle in math but my teacher gets mad when we ask her questions but it's the first time we're learning it so how are we suppose to know
Dominique Garcia same here
Dominique Garcia yup same so I either stay for advisory or I come in after school but sometimes it isn't enough so I google
Dominique Garcia I'm barely hanging onto an A and currently literally crying from stress because I have an exam tomorrow and know literally nothing (Well, about enough to get me a C-). They moved me up to extension maths, but my marks instantly dropped because I couldn't handle the lingering weight on my shoulders to do well because everyone else does.
Thank you for these videos it really helps. My teacher doesn't teach anything, seriously :( Was having hard time till I found your videos. And by this officially you are my favorite geometry teacher!!! Yaymath
seriously thank you so much. I am taking geometry over the summer so basically i have like 2 days to learn this and your video helped me a lot. thanks!
This makes things so much clearer now. I have finals tomorrow and this will surely help me get am A or B on it.
I honestly thank you for making these videos. I have been falling behind in class, and these videos are really helping me because now I understand what my teacher doesn't bother covering (he goes through it too fast for me to understand). Thanks!
Dude, I had to do this in 10th grade (1997) and it was HARD! Now I'm watching a video on it and it's so easy... I had a crappy teacher... Why didn't Google come out in the early 90's?? I would've Aced it!
i know right. damm
haha I feel glad I live in this age
They're still hard for me >_> NOW
I had a geometry test on Friday, and this really helped, thank you so much for putting this on the internet!
Thank you so much for this video!!! Me and a bunch of my friends are freshman in Honors Geometry and are struggling. I sent this to all of them and tweeted it! You are a great teacher maybe We wont fail the test tomorrow :)
WHERE WAS THIS WHEN I WAS ON PROOFS!!! If I had watched this I would've passed ALL of my tests! Thank you!
Wow this really helps. Sometimes it’s hard to get the right advice from teachers so it’s nice to find very descriptive videos about
Who else has a test tomorrow?
This video helped me so much... I never understood proofs before and this explains them so well. Thanks!!!
If it spells a bad word its wrong. That's what my teacher taught me
Nightingale 4 life He never taught us that so I looked it up so I guess your right I'll make sure to correct him tomorrow
It is more SAS than ASS
keegan watts wouldn't the angle need to be in between 2 sides to be considered SAS? The HL theorem uses the right angle(A) one of the legs(S) and then the hypotineus (S)
Nightingale 4 life you're right, sorry
Jermaine Nixon if two angles are equal then third would be automatically equal. Then apply SAS. This can be done under the theorem AAS to save you the trouble of SAS
Great video! I'm a sophomore in geometry honors and my End Of Corse test is approaching. Proofs have been a struggle for me and this helped me out a lot. I now have a much better understanding of proofs. Thx!
Watched this video to understand proofs better and it helped me out so much! Had a lot of fun learning from watching your content.
Z-hawk55 yay!
I’ve literally been taught this three times and I finally got it by watching your video!
freshman , and im learning this ._.
Alexis Henderson Damn boii
Kindergarter and I'm learning this
Born .3 seconds ago and I’m learning this
yoo. 7TH GRADE’OBUDDIE.
except for. NOW YOUR AN 8TH GRADERRR.
Now I understand. What a great teacher you are! Thank you!!!
The Great Teacher in "Action". Thank you for the lecture, Sir. Mabuhay !
YESSS my geometry finals is tomorrow and this helped!!!
this is the best way to make learners understand and focus all I can say is this guy is the best teacher
OH MY GOD. Thank you so much, I' had such a terrible time with proofs but I now understand them!
Literally you saved me, honestly, wow thanks SO MUCH
I had 3 days to study all of geometry and this video helped me :)
man i wish you were our geometry teacher, i have final term math exam after an hour i hate math but when i see your videos i learned so many things so i could pass my exam your lit man keep it your student are lucky that they have you
I love this teacher. You should replace my geometry teacher.
omg this was so helpful like your my second geometry teacher now!!
So happy I found this too! Taking geometry as an eighth grader should be easy but my teacher is not great! This helped me so much! Thank you!!
your awesome for this my teacher has been explaining it wrong I never knew you had choices to prove and I would ask questions like "why not this" and shed say no you have to do it exactly this way but thank god you showed me there isn't just one way to prove something all the time.
Best math class ever. I have a test today on their and this video saved me. Hopefully I do well
Yaymath gave me reasons to have fun in math!
got a quiz about this tomorrow you fr helped me thanks god bless you
He really just saved my life & grade 🙏🏻
If my teacher taught us like this, I wouldn't need to watch this. You're a great teacher by the way. My teacher would always assume that we know everything after her explaining for a brief moment and when we ask questions, she would tell us " haven't your teacher last year taught you this??!!" Ughhh...
Thankyou sir you have no idea how much these videos have helped me my geometry final is tomorrow and I haven't fully understood much about proofs until tonight, better late than never though lol thankyou!
this helped me understand proofs more and I have finals in three days, thank you so much!!
you're such a funky teacher, this really helped me with my test that is totally not tomorrow.
Thank you!!! You are the best teacher ever!!!!!!!!!
Man my teacher just blows though EVERYTHING and when we ask for help he explains it the same as before. Thank you for sharing
I'm from the UK and this video is really helpful for my GCSE (equivalent to the end of high school exam in USA).
I wish I had you as my teacher!!! My geometry teacher doesn't even teach!!! You are awesome and hilarious!!!
You have no idea how much I wish you were my geometry teacher, my teacher doesn't even teach. She literally gives us the answers and walks off. Sure it's cool at first, but when the test comes you're literally screwed.
What a good math teacher.
We need you at my school you explain everything so well
Your a Saint for people who don't understand geometry
Lol! Literally we are about to go on thanksgiving break like them!!😂
Thank you so much for this video.It helps me a lot.
great teacher i have learnt many dificult methods from your teaching way you are very great person .
Thanks a lot I'm really understanding this better with you explaining this. My teacher just makes us copy notes but never interacts like you do and never uses anything to help us understand it better
Member Berry same
I'm in Yr 9 & I'm learning this topic!
This vid really saved me...I have a exam this morning & I feel.. excited & nervous!
Thank you!!! Super helpful.
best teacher ever
I actually learned from this teacher
in america do you guys do RHS? (Right-angle Hypotenuse Side)
For the second one cant you use def of angle bisector for angle B since it is a 180 degree angle that is split into two that makes 2 90 degree angles? Thus making it SAS CP?
Thanks a lot for this video! Helped me a lot
Subbed! great vid it helped a lot!
Thank you so much. This helped a lot.
Thank you for this wonderful video. I didn't understand proofs at all, but now I do. Now i am really confident for my test tomorrow. P.s. I play the cello.
super helpful!! Thank you so much :)
Excellent videos!!!!
I have a test on this tomorrow hope this helps me pass :D
Great Job!!
wow this really helped a lot, thanks!
Instead of CPCTC my teacher says CPOCTAC, and he pronounces it as that. "Cuh-poc-tac"
He's a good teacher but you're really great, you get to it and explain so well, thank you so much! I'd love to be able to have your help because I'm struggling in my class.. Yeah! :)
I’m doing really bad in math right now and I really hope to start understanding these
Best teacher ever! i missed the day we learned this so everyone stares at me like im stupid when we a practicing a i dont get it.
Nice
In New Zealand, it would be vert angles are equal. Is that the same as vert angles are congruent?
I wish you were my geometry teacher. We don't offically have one. Thank you fo helping me!
I wished my geometry teacher was like this I finally got one out of the 7!
Good thing there’re are teachers like him to make up for all the lackadaisical and non passionate teachers
Corresponding Parts of Congruent Triangles are Congruent = CPCTC
Oh..my..god....!!you are a great... mathematics teacher.. I've ever seen.. you are just like my sweetheart English teacher.. she's as well so frank to their children..but I must say you are still better than her❤️❤️I really wish I could meet you at least once in my life..❤️❤️
WISH I HAD YOU AS MY TEACHER RN! I try so hard in school all A's but geometry which is a B and my teacher SUCKS! Doesn't explain things in detail, just skims over things quickly and then is like, "Okay were done for this chapter!" This video helped me a lot, I have a test tomorrow and now I have confidence in myself.
Omg such a good teacher my maths teacher is terrible
thank you, saved my life 😭😭😭
I wish my math teacher was as fun as you
Sophomores have to learn this now ! Crazy ~ AMP
sophomores? its freshmans for me
Devon Gregory freshmans? its 8th grade for me
Stephen Chew 8th grade? it's elementary school for me
I never cared to skip a class i just stay at the average
Zelalem Negash HAHA sure
21:04 Since segment DB bisects segment AC and angle ADC, doesn't this mean that angles ABD and CBD are both 90 degrees?
Is there like a specific order you go by or do you just put what you see in whatever order you want I don't get it
i have this same question @Yaymath
From what I understand, there isn't really a specific order. It's just as you see it.