Proving Circle Theorems: 5 Proofs in 10 minutes

[@jamessemaan6554]

I really appreciate all the help, I got 98 on my circle theorems exam. :)

[@cretorn1]

good on you seman

[@sheltondcosta8788]

Legit no one gives a flying fuck

[@IngoziDanger]

When we talk about someone who not only knows his stuff but who also able to share what he knows.

[@jordyward1952]

Kaizer Chiefs fan eh?

[@zendayamccall6372]

Sundowns better

[@mahivelamuri4204]

I cannot explain how much this helped me, please more circle theorems

[@navjotsingh2251]

Ezio... you're learning geometry!?

[@felixbasildoogle-berry3734]

I’ve got my maths GCSE in a few hours. This really helped out, thanks. Edit: I’m back, cos paper 2 is tmrw. Edit 2: I’m sick of life

[@isobellaux9177]

hah me too

[@riyadhul-hoque6851]

Didnt come up

[@felixbasildoogle-berry3734]

Riyadh Ul-Hoque might come up tomorrow

[@ArloLinn]

Me too

[@adamseddon1847]

Mood

[@mtalita]

Great video. Btw, we could make the 1s proof simpler by skipping a few steps: if the sum of the internal angles of a triangle is 180 degrees, x+x+z+z= 180° 2x+2z=180° (dividing all by 2) x+z= 90°

[@numberone6955]

Was just about to comment that

[@brainnotfound4923]

I thought of that too!

[@plamenpenchev262]

2. Simpler: continue the radius through angle a. Then both angles (that compose angle a) are outside angles of left and right triangles, i.e. a = (w + w) + (y + y) = 2(w + y)

[@ThandekaNosihle]

I'm from south Africa and you just made me realize how interesting the circle theorems are (thank you)😭😭

[@rileyhughes8530]

I’ve got my maths mocks in a week and I’ve not understood this for months but this cleared everything up

[@PhysicsNinja]

Good luck!

[@subhantariq3585]

did u pass ?

[@rileyhughes8530]

@@subhantariq3585 i got a 7 but was 1 mark off an 8

[@subhantariq3585]

@@rileyhughes8530 noice

[@jkgan4952]

@@rileyhughes8530 lol one and a half years later you still replied. pretty coool

[@raysofravi3565]

Your diagrammatic explanation super sir.. please do sir.,more videos about circle thereoms..

[@PhysicsNinja]

Thanks for the comment. Email me a list and i'll make the videos. Ninja is always willing to help students. [e-mail]

[@joebastianich3410]

@@PhysicsNinja no

[@eZaFVulcan]

@@joebastianich3410 seriously what was the point of this

[@nikkyyxo]

Thank you so much! You explain better than my teacher :’)))

[@theodorapanayi8952]

Definitely

[@honquewastaken2298]

If a guy on youtube ( I know he's a tutor and all) is explaining your work better than your teacher, you may not have the best teacher.

[@arjunagrawal9376]

@@honquewastaken2298 weird but true

[@user-su3gm8lm7e]

This is really helpful and clear in terms of proving where circle theorems are as such. Thank you so much for your video!

[@MingoMash]

Watching videos about the properties of circles and triangles has become my new addiction.

[@bruce2357]

I find it hard to follow the convoluted proofs I seem to find everywhere. Then you come along with easy to understand proofs. Thanks for doing this.

[@PhysicsNinja]

Much appreciated

[@petrochengula9480]

I was worrying about circle but this video helped much

[@tamilmasilamani2171]

Honestly, You're amazing. I kid you not. Same video helped me twice. Thankyou sm.

[@stromboli183]

Very well explained and illustrated. Extremely useful. Kudos, good sir!

[@ckca7180]

Thank you very much for these clear proofs. Steps are easy to follow and learn.

[@mitchellnyambura5388]

You make math seem easy and beautiful..

[@PhysicsNinja]

You’ll get there, took me 20 years. Thanks!

[@thedigitaluniversity7428]

Please DO NOT Allow KZbin to interrupt your carefully prepared videos with annoying pop-up ads. Those totally annoying interruptions utterly destroy the thought process.

[@mathstraining6996]

Really like how you teach and support students.

[@xiphemu7583]

I write in 2 days. I think I get the basic idea of things but you really helped clarify better

[@cadmiumbop]

Thanks so much I watched this video once and automatically understood everything

[@andreyaalb]

what are the factors that helped you prove the theorems?​

[@LearningLink]

Very useful video, but I would like to know how and through which apps u draw and write on the screen. Thanks.

[@vivianlaferla7035]

Great explanation and super writing on the whiteboard. What software are you using?

[@PhysicsNinja]

vivian laferla notability and a Wacom tablet

[@NASIR58able]

Nice, simple and informative explanation

[@priyanshkhaitan3560]

Thanx a lot you helped me .You are the best teacher definately please support him

[@nz1229]

This is a fantastic educational video

[@delcio9038]

wow, this was easier than i thought it was

[@موسى_7]

Opposite angles in a cyclic quadrilateral add up to 180 degrees. I proved it like this (your way is much simpler): . Draw a circle and a cyclic quadrilateral ABCD, where A is opposite C and B is opposite D, inside it. . Label the angle 'a', which is angle DAB. . DAB is half of the angle at the origin subtending the same chord DB or arc DCB. Label the angle at the origin subtending chord DB '2a'. . Connect the origin to point C, bisecting angle DCB (opposite to DAB) with a radius. Now you have two isoceles triangles with the equal sides being radii. . Choose one isoceles triangle. The angle at the origin is bisected, so it's gone from 2a to a. a is opposite the base, so that means the other two angles are equal to each other. The angles in a triangle add up to 180 degrees. So each angle on the base of the triangle is (180-a)/2 degrees. One of those angles is the bisected angle DCB which is opposite to DAB. . (180-a)/2*2=180-a . (DCB=180-a)+(DAB=a)=180-a+a= 180 degrees. Opposite angles in a cyclic quadrilateral add up to 180 degrees.

[@lysmrtz]

This seriously helped me a lot THANKS BRO

[@shaunakjoshi7559]

Nice explanation really helped out

[@patakotisrinivas1918]

Really awesome explaination...u r efforts are commendable...

[@koketsonkutshoeu7647]

Thanks so much, sir!!

[@J3D1D14H]

such a simple way of explaining proofs! they are almost not my nemesis anymore! just need to practice more tho

[@overlordprincekhan]

This dude explained the stuff the teachers here take 5 weeks to understand

[@imogeno4686]

Thank you, this was really useful!

[@PhysicsNinja]

Imogen Owolade thanks!

[@ericventalon6113]

It s super ! from France I discover your channel. very good pedagogy.

[@aram5642]

I liked this one! Would you also deduct a proof of so e of the double angle trig rules?

[@HillCountryDemo]

Excellent video. Thank you for sharing!

[@willt3191]

do we have to show the previous proofs for the cyclic quadrilateral to proof it?

[@alimazen6414]

ik im one year late lol but you dont have to

[@gamevelocity7413]

damn you actually really good at explaining I love these videos

[@gamevelocity7413]

please make a video on trig functions

[@gamevelocity7413]

i would rlly help

[@gamevelocity7413]

and proofs

[@maxwellevans2137]

Really helps with British GCSE'S Cheers

[@matthewcapstick6242]

Doing it tomorrow

[@happytagged3646]

To all those tht watched this video 2 yrs (or more) ago , where r u in lyf rn??

[@kawanjain9417]

Concepts cleared very easy by this , thanks !!

[@khaipinaulak485]

THANKS MAN THAT WAS GREAT HELP

[@khaipinaulak485]

also for question 4, how is it able to equal 2a?

[@aryandabas491]

this is reaally good thanks

[@reubeanhead]

Mocks tomorrow, you a champ

[@PhysicsNinja]

Crush it!

[@Rob1066-]

What application are you using to make geometric figures?

[@its..yourgurl_nolu6493]

This really helped!! ❤️😊

[@OswaldGaming95]

thanks so much this helped a ton!

[@khaipinaulak485]

For question 3, I don't understand why must the angle c be able to = 2a?

[@NishchayG]

Thx a lot , really helped me

[@MrBTeachesMaths]

Which app or software did you use please?

[@pranavsonvane2081]

This really helped me out thanks

[@pranavsonvane2081]

subbed and liked

[@subashbiswakarma635]

Hlo sir, Actually you explain so well and i hv one request thai is can u explain about theorem of tangent in a circle ????

[@PhysicsNinja]

Let me look it up tonight and see what i can do to help.

[@josephstalin7995]

LOL watched this in class! Nice vid!

[@misan2002]

Hello comrade

[@abdulfattah5523]

thnku sir for giving me such a gd lecture:):)

[@muhammadminhaz2773]

I love it 😍

[@dope_axel9436]

Thanks man

[@maximus_fn7263]

Maths gcse tuesday anyone?

[@JakariaKhalilDraws]

Bingo

[@plamenpenchev262]

1. No need for y and w. Just x + (x+y) + y = 180 deg.

[@ankurkaushik2074]

Good morning sir,

[@موسى_7]

For proof 3, why didn't you prove the angles on the other side of the segment are the same?

[@nychan2939]

Do you mean the opposite angles in a cyclic quadrilateral are supplementary? It's difficult to prove if the center of the circle is outside the quadrilateral. Maybe, the difficult cases are left out so that he can finish in time.

[@amanraj-or8pg]

Thanks bro .I'm Indian

[@samoriginal]

Why the hell do you need to prove them in the first place?!

[@xavierang9459]

To understand it. In my school we only need to know the proofs, but learning this would make it much easier

[@navjotsingh2251]

Because in mathematics we need to prove that a statement actually works like it says. Just like a lawyer needs to prove someone is innocent.

[@christopheraltamirano4054]

if 2 triangles which have angle angle angle similarity, who's points are the circle's edges, can they be proven congruent?

[@nat4263]

You can prove them congruent if they both have at least one equal or common corresponding side

[@jec8303]

Thx so much!

[@gautamnemani4878]

very helpful thanks

[@zwelijunior9146]

Super helpful. 👌🏾

[@the_hasnat]

are you getting ready for mocks?

[@Govind-q8z]

Love from India

[@sameersardana5376]

you could have taken 2x + 2z=180 directly from the large triangle. why so much work ?

[@RoseAngella]

Sameer Sardana - some people need to see the interim steps and also he applied factorisation, doing an application one might not see straightaway. It’s just good and very enlightening to see the small steps.

[@sebastiandasilva9906]

THANK YOU

[@karimmortada2456]

(3°): (180 - 2w)+(180 - 2y) + a= 360 Then 180 are simplified Then a=2w + 2y + 2 Then a =2(w+y)+2 Then a=2b +2

[@bob-ny6kn]

You did not explain why angle x = angle x (and angle z = angle z).

[@jkgan4952]

Thanks!

[@razprogaming-rpg7165]

How is c + a2 90 degrees thats what i dont understand for alternate angle theorem?

[@BobMarley-yz4wh]

Mohammad Raza when radius meets a tangent it creates a right angle (90 degrees).

[@henrique7612]

You just said what each angle is withou any proof or explanation

[@aliblue6990]

thanks sir

[@honquewastaken2298]

Rally sad that this couldn't help me lol, my teacher does proofs in the weirdest way possible

[@JethroSarreal]

❤️✨

[@trojangamers9780]

New subscriber ❤️

[@eliadamokwena]

Thank youuuu

[@PedroCristian]

Why not prove the second one before the first as it is just an application with angle 90... This would have saved you some time...

[@davidroise5780]

What I need help with is euclidian proofs

[@PhysicsNinja]

Send some example to [e-mail] and maybe i can make a video! I'm sure a lot of students need help.

[@adrianbartholomew3785]

1/ Too complex. Its as simple as: 2x + 2z = 2(x+z) = 180. x+z = a = 90. No need for y nor w.

[@patrickolatunji650]

Thanks

[@sagestar]

Lil small child getting bored so watching this 😶

[@isaacharris5564]

so fucking helpful

[@andrewseo5498]

if both angles in an isosceles triangle are 90 degrees. it wouldnt be a triangle anymore. idk

[@rinaesera7638]

14 actually

[@SteaJdj]

@Dream sounds like this

[@MaKebin]

the proof of the first theorem took some unnecessary steps: you don't need y and w...

[@sheltondcosta8788]

Ty I luv ur videos it amazing 👏 💓 💗 💖 💛 💕 👏 💓 😅😅😅😂😅🎉😅🎉

[@MCLOUT531]

Tomorrow 👀💔

[@santhoshwagle9857]

*15mins

[@inckz1028]

This is long yu really just need to say what theorem it’s is etc

[@mrmeowcatlovethemeow5656]

omagoddddddd :OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

[@eddyjohnson-gf9jy]

Physics ninja 😂