Proving the Circle Theorems | Grade 9 Maths Series | GCSE Maths Tutor

[@aadammajid3955]

My maths paper 3 is on Monday and your helping soooooo much. Your like the new freesciencelessons guy

[@TheGCSEMathsTutor]

Thanks!!! That’s some high status feedback right there 😁🙏🏼

[@harryt1016]

freesciencelessons guy used to work at my school he’s called Dr donnely

[@alternate1247]

@@harryt1016 which school did you go to?

[@harryt1016]

@@alternate1247 Blue Coat

[@minalhq5762]

@@harryt1016 bruh uve got a celeb at ur school HAHAH, well was he nice then

[@lansonoyihongwong5830]

most useful channel for maths, he literally makes makes 5 minute videos 20 minutes to knock it into your brain. love this channel and how he simplifies everything

[@jameschester7839]

Yooooo my teacher tried to explain this last week and it literally made zero sense.. understood every word you said!!! Thank you so much 🥰

[@TheGCSEMathsTutor]

Great to hear!! Glad I could help!! 😁🙏🏼

[@aaryanramani1699]

Have a test on Saturday. Revising all the things I need to 'prove' algebraically. This video helped me a lot. THANKS!!!!

[@TheGCSEMathsTutor]

Aaryan Ramani Amazing news!! Good luck 😁🤞🏼🤞🏼🤞🏼

[@fj3571]

How would you recommend going about memorising these proofs?@@TheGCSEMathsTutor

[@shush3328]

this is the first time i'm commenting on a video and man, this teacher saved me from failing my maths test for tommorow LEGEND!

[@TheGCSEMathsTutor]

Glad to hear it! Thank you 😁🙏🏼

[@VEMZOfficial]

Thank you so much man, I have my mocks next week and this is so helpful. Subbed!

[@TheGCSEMathsTutor]

Great to hear!!! Best of luck to you 😁🤞🏼 let me know if there are any topics you’d like doing in the mean time!

[@fj3571]

@@TheGCSEMathsTutorHow would you recommend going about memorising these proofs?

[@turbiyo4026]

In y9 i was assigned circle theorems as a extension task there was another task called circle theorem i asked my teacher if i can do that too she essentially doubted me and said that grade 8 to 9 and we do that in y11 and i proved her wrong and did every question correctly.Thanks for the vids ❤️

[@TheGCSEMathsTutor]

Amazing news! So glad to hear it’s useful 😁🙏🏼

[@shuncho7844]

W

[@woknow9356]

One of the questions litrelly came up in my gcse maths paper today so glad I watched this video pretty confident with how the exam went 😃

[@marceledeko6030]

yup i saw this video and said it probs wont come up so i didn't watch it. I was so pissed in the exam

[@woknow9356]

@@marceledeko6030 oo that’s sad

[@gary_shah2187]

what did u get? , did it come up in paper 1 ? which question was it. thanks

[@gary_shah2187]

@@marceledeko6030 what was the wuestion

[@gary_shah2187]

@@woknow9356 what was the question

[@joshua3027]

thank you for this. now im hoping one of these come up tomorrow in paper 3 because of your help

[@ag6125]

Same

[@joshua3027]

@@ag6125 how did it go

[@ag6125]

@@joshua3027 circle theorems didn’t come up but icl the paper was easy

[@ag6125]

@@joshua3027 wbu

[@infernalspy0176]

absolutely brilliant! you explained it so well in 30 minutes. took my teacher 2 hours and still didn’t get it

[@fishymemes2308]

Skill issue

[@arshianoohi8362]

Can you do exponential growth and decay please😩 Literally most confusing thing ever

[@TheGCSEMathsTutor]

Arshia Noohi The concept is the same as compound interest and depreciation, check them out here: kzbin.info/www/bejne/n3y6Yn2PeruUqZY and the link for that series is in the video description!

[@i4TheWinN]

Currently learning this, and I have a test on Friday 20th March but due to Coronavirus, school has been closed and people are really happy 😂 and we have to do all our work through the internet and my class has no clue about circle theorems and couldn't understand anything. I'm taking this time to watch this video because these questions can get to a very difficult level

[@nabahathabdhullah3597]

i also have tomorrow maths test. i dont know what will happen.. hope this will help me

[@nabahathabdhullah3597]

thanks for the vidio @the maths tutor

[@jojohn3865]

By the way, that last proof of the alternate segment theorem is soooooh clever and cute !

[@karmamarikomo1289]

2 years later and you still a ledgend😘🤗

[@TheGCSEMathsTutor]

Thank you so much 😁🙏🏼🙏🏼

[@josephbriantruan9966]

Tbh your maths videos are best . Your a legend

[@nastery440]

thanks exams in the next 3 days and this is a lifesaver !

[@t_ahmad]

Sir, when drawing a line, after you have drawn if you keep on holding on the pen to the screen it will draw a straight line :)

[@saleha1533]

Hey sir! Can I say you're vids are great, however I wanted to say, have you every considered making A-Level Maths content?

[@JK-vm7yo]

Bruh he does

[@saleha1533]

@@JK-vm7yo oh lol never knew thx

[@doyouknowdawae2625]

wow, you made this super easy! Thanks sir. You should have more views on this video, people shouldn't be scared to learn proving Circle Theorems :/.

[@INeedGooderGrades]

yeah I focused revising circle theorem calculations and other hard topics but I avoided vector proof and circle theorem proof but they actually make sense once you met this guy....

[@savageking2713]

Sir, can you please upload a video on bearings Thanks for everything 😘💖

[@TheGCSEMathsTutor]

Savage King it’s on my list!! It may not be this weekend but it’s coming very very soon! 😁 thank you!!

[@calcpost3641]

Sir are these all the proofs you need to know for the GCSE edexel maths course?

[@kieratsahota6835]

Also please can you do a video on surds the grade 7/8 ones?

[@TheGCSEMathsTutor]

Kierat Sahota Here it is - Surds (Part 6) Rationalising the Denominator 2 - 10 Minute Maths Series | GCSE Maths Tutor kzbin.info/www/bejne/n6mmnYl7g9aNbK8 😁 I’m due to do part 7 soon looking at grade 8/9 surds too!!

[@sewind6613]

So very helpful. Thank you.

[@costrix5697]

hello, thanks for the great video. For the first circle theorem (right angle at semicricle), can't you draw a tangent at one of the points on the base,( for eg B or C) and since the diameter is also a radius, there's a 90 degree angle at the tangent (tangent at radius circle theorem) and then you can use the alternate segment theorem to get 90 degrees at the semi circle.

[@Fatima-gk3yv]

gcse edexcel paper 2 tomorrow, could we get asked to prove circle theorem or sine/cosine rule as a question?

[@SantanaTayK47]

not proving sine and cosine

[@TheGCSEMathsTutor]

I would say it’s unlikely.. but I wouldn’t like to rule it out! 🤞🏼🤞🏼

[@Fatima-gk3yv]

@@TheGCSEMathsTutor thank you!!

[@unclesage2330]

here the morning before maths paper 2

[@legitgamer4000]

Bro MIGHT be cooked, not sure though 😂

[@AmirahO-d4u]

It came up

[@to_discover_life]

i love this guy

[@TheGCSEMathsTutor]

Thank you so much! 😁🙏🏼

[@weirdworld2533]

1 minute to exams hustle never stops

[@synrust]

bruh you are so good at teaching

[@ahmedmustafa4978]

Amazing!

[@TheGCSEMathsTutor]

Ahmed Mustafa thank you 😁🙏🏼

[@ohhhmyyylifeee]

would you get/ have there been prev gsce qs on proving circle theorems?

[@kashoot4782]

Cheers for the vid mate, just wondering, is it a bit of a cop out to use another circle theorem to prove a circle theorem- like for proving the alt seg theorem, could you not draw a line straight down from the centre, say that’s 90 deg( tangent and a radius meet at 90) so the angle between the chord and the tangent is 90-x) deg. Then i guess you could form an isosceles triangle so so the angle at the centre is 180-2x, and the angle in the alt seg is 90-x(angle at centre=2x angle at circumference). Cus they’re both 90-x, they’re equal? This is way too long a comment lol but I was just wondering. Cheers anyway for the vid

[@TheGCSEMathsTutor]

Thingy 101 If you watch the second half of my explanation on the alternate segment theorem you will see I do it in a different way using no previous circle theorems, it’s certainly not a ‘cop out’ as you could easily apply the algebraic proof for a previous theorem within that proof, but it’s a bit of a waste of time as we already know the proof to that theorem! 😁

[@Sophia-ur1nb]

really helpful video, thanks!

[@TheGCSEMathsTutor]

Great to hear 😁🙏🏼

[@zamzammohamed5230]

Finally,Thank you so much.

[@TheGCSEMathsTutor]

Zamzam Mohamed it has been a long time coming 😂😂 More to come tomorrow!!!

[@coolguy3943]

Hi sir, I’m doing Edexcel IGCSE Maths 4MA1, will circle theorem proof be in the papers that I do?

[@asrithaveeramachaneni2173]

Thank you so much!!

[@TheGCSEMathsTutor]

My absolute pleasure 😁🙏🏼

[@fj3571]

Hi, how would you recommend going about memorising these proofs?

[@bothebrit8916]

just keep practicing

[@xhibah]

i have a test on this tomorrow, thank you so much!! 🤍

[@TheGCSEMathsTutor]

Hope it went ok! 😁🙏🏼

[@xhibah]

@@TheGCSEMathsTutor it was great, thank you so much !!

[@TheGCSEMathsTutor]

@@xhibah So glad to hear that! No problem at all 😁🙏🏼

[@devil3514]

Great video Thank you so much

[@TheGCSEMathsTutor]

GS Gaming YT Thank you!! My pleasure 😁🙏🏼

[@harisamaan786]

This was the hardest question on the test it was a circle theorem proof question no one got it right so im practising it thanks alot

[@TheGCSEMathsTutor]

No problem at all! 😁🙏🏼

[@shanicetylersvlogs8554]

thank you so much, great video

[@jojomooc]

Ahhhh you’ve come to the rescue yet again!

[@nikethajayasiri]

OMG! THANK youu SO much Sir.

[@OGGY365]

5 weeks left till our GCSES!

[@user-su6js9po4l]

10 days now. where did all the time go 😭

[@sameerahmed5074]

@@user-su6js9po4l 2 days

[@zubemughal7823]

Thanks it helped me a lot 😊

[@coverupper1354]

If you can prove the alternate segment a different way to what you have said here would you still get the marks?

[@chow4253]

Will there be GCSE circle theorem proofs questions for Higher AQA?

[@Tom-ez7pp]

for the 1st explanation of the alternate segment theorem you didnt actually prove the angle youre trying to find, just the one from the diameter you made. Am i missing something?

[@lolllhello7718]

Great video

[@TheGCSEMathsTutor]

Lolll Hello Great to hear 😁🙏🏼

[@lolllhello7718]

The GCSE Maths Tutor Thank you

[@sameerahmed5074]

Is this coming up tommrow?

[@potati4097]

it might be coming up cuz its under circle theorems topic

[@GCSEALevelMaths2025]

Good video nice job sir top work.

[@mxham]

for the boe tie question, could you use base of an isocles triangle are equal to prove that the two angles are equal

[@Mango_9934]

no because the two triangles aren't isoceles

[@AbdulWahab-hu5se]

Do all of the circles theorems give all marks out of the question?

[@TheGCSEMathsTutor]

Sorry I’m not sure exactly what you are asking 🙏🏼

[@kieratsahota6835]

Do you think they would ask this in an exam?

[@TheGCSEMathsTutor]

Kierat Sahota Can’t see why not! Exam boards have put it out in mock papers and practice tests.. and it’s on the curriculum!! It’s a very unique question though and I see it more as an aid to understanding circle theorems than as stand alone questions, and with the increase in algebraic circle theorem questions, learning these proofs can be very beneficial to tackling those types of questions too 😁

[@kieratsahota6835]

@@TheGCSEMathsTutor broi have learnt these in literally 1hour and a bit. Just wanted to say thank you because for some reason I only understand maths through your videos. So thank you

[@wjkkwjkf2980]

so in your answer you can reference another circle theorem proof without explaining it?

[@TheGCSEMathsTutor]

Absolutely 😁🙏🏼

[@wjkkwjkf2980]

@@TheGCSEMathsTutor thank you

[@jinethweragama1218]

what if the cyclical quadrilateral doesnt contain the radius point?How would you prove it then?

[@anssa6163]

If you want to prove ''opposite angles in a cyclic quadrilateral add to 180 degrees'' can you not just draw a diameter from the circumference and then say an angle in a semi circle is 90 therefore they are both 90 degrees and add to 180?

[@TheGCSEMathsTutor]

It’s another great way of using a circle theorem to prove another circle theorem for sure 😁🙏🏼

[@sbud1]

how do you prove a tangent and a radius are perpendicular?

[@rayhaan7860]

man's panicking for the maths exam tmr icl same ur not the only one ngl "we all got this"

[@M5FTZ]

I think you would find the gradient for both, if u multiply both gradients u should get -1 I’m not too sure

[@M5FTZ]

If it was a graph question that would be the case

[@mili9520]

for the first one could you just say that angles on a straight line sum to 180 and then angle at the circumference is half the angle at the centre?

[@noel.m7148]

No because there is no angle that meet that the centre and at the circumference via the same arc

[@j6lkx5kt31]

i think u kind of overcomplicated the semi-circle one. you can just label the equal angles in the isosceles as x and y and then the right angle would also equal x and y, so 2x + 2y equals 180 therefore x + y equals 90 and is a right angle triangle. atleast thats how i did it

[@mihaelaenglezu5991]

Ingenious, loved it

[@lolllhello7718]

1st true fan

[@shabadkaur6465]

Can I plz get the link of worksheet in the video

[@Rafmee]

These questions do not come up ver often?

[@ik3207]

they actually are expected to come up so u man watching this best start paying attention 🤣

[@imnotmaame]

Wait for the first one can you just say the diameter is a straight line so the angle is 180 then angle at the circumference is half the ange at the centre

[@dfggrgrgrgrgrgrgr]

for time 7:32 why is it 360-x-y shouldnt it be 360-x+y?

[@af2536]

14:41

[@GG-wq6rp]

26:45 only one that's really hard

[@richardventre424]

The first circle theorem proof you did was way over complicated bro you could have started with the two triangles being isosceles, so the angles at the base would be the same, and then say that the 3rd angle would be 180-2x and 180-2y then just put that into an equation that is equal to 180 and it shows that x+y = 90

[@animapringleot7381]

FOR THE FIRST ONE HOW DID YOU KNOW IT WAS A ISOSCELES TRIANGE TT😪

[@mouj4b156]

Both sides are radii and so equal therefore an isosceles👍

[@muhammadsaleh6058]

who perparing right now for the papers

[@mistermusab8055]

10:29

[@jjy2297]

What

[@maddiedavila937]

OMG IVE BEEN WAITING FOR THIS VIDEO DNUSOSBDSJK

[@TheGCSEMathsTutor]

Maddie Davila perfect timing then! Great to hear 😁🙏🏼

[@shahdmeziati-mine6914]

proof for circle theorems is the worst

[@firekiller8924]

ikr