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

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  • Опубликовано: 1 дек 2024

Комментарии • 164

  • @aadammajid3955
    @aadammajid3955 4 года назад +276

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +158

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

    • @harryt1016
      @harryt1016 4 года назад +54

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

    • @alternate1247
      @alternate1247 3 года назад +2

      @@harryt1016 which school did you go to?

    • @harryt1016
      @harryt1016 3 года назад +5

      @@alternate1247 Blue Coat

    • @minalhq5762
      @minalhq5762 3 года назад +20

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

  • @lansonoyihongwong5830
    @lansonoyihongwong5830 Год назад +8

    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
    @jameschester7839 4 года назад +33

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

  • @aaryanramani1699
    @aaryanramani1699 4 года назад +43

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +3

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

    • @fj3571
      @fj3571 Год назад

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

  • @turbiyo4026
    @turbiyo4026 4 года назад +56

    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 ❤️

  • @VEMZOfficial
    @VEMZOfficial 4 года назад +38

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +3

      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
      @fj3571 Год назад

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

  • @shush3328
    @shush3328 3 года назад +9

    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!

  • @woknow9356
    @woknow9356 2 года назад +14

    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
      @marceledeko6030 2 года назад +6

      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
      @woknow9356 2 года назад +1

      @@marceledeko6030 oo that’s sad

    • @gary_shah2187
      @gary_shah2187 2 года назад +1

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

    • @gary_shah2187
      @gary_shah2187 2 года назад

      @@marceledeko6030 what was the wuestion

    • @gary_shah2187
      @gary_shah2187 2 года назад

      @@woknow9356 what was the question

  • @joshua3027
    @joshua3027 Год назад +5

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

    • @ag6125
      @ag6125 Год назад +1

      Same

    • @joshua3027
      @joshua3027 Год назад

      @@ag6125 how did it go

    • @ag6125
      @ag6125 Год назад

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

    • @ag6125
      @ag6125 Год назад

      @@joshua3027 wbu

  • @jojohn3865
    @jojohn3865 9 месяцев назад +3

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

  • @i4TheWinN
    @i4TheWinN 4 года назад +7

    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

  • @infernalspy0176
    @infernalspy0176 3 года назад +4

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

  • @arshianoohi8362
    @arshianoohi8362 4 года назад +12

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +9

      Arshia Noohi The concept is the same as compound interest and depreciation, check them out here: ruclips.net/video/iKW1JYEVas4/видео.html and the link for that series is in the video description!

  • @josephbriantruan9966
    @josephbriantruan9966 2 года назад

    Tbh your maths videos are best . Your a legend

  • @nastery440
    @nastery440 Год назад

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

  • @t_ahmad
    @t_ahmad Год назад +1

    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 :)

  • @karmamarikomo1289
    @karmamarikomo1289 2 года назад +1

    2 years later and you still a ledgend😘🤗

  • @sewind6613
    @sewind6613 5 месяцев назад

    So very helpful. Thank you.

  • @calcpost3641
    @calcpost3641 3 года назад +4

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

  • @weirdworld2533
    @weirdworld2533 6 месяцев назад

    1 minute to exams hustle never stops

  • @doyouknowdawae2625
    @doyouknowdawae2625 3 года назад +2

    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
      @INeedGooderGrades 8 месяцев назад

      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....

  • @costrix5697
    @costrix5697 2 года назад +2

    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.

  • @to_discover_life
    @to_discover_life 2 года назад +1

    i love this guy

  • @unclesage2330
    @unclesage2330 6 месяцев назад +3

    here the morning before maths paper 2

    • @legitgamer4000
      @legitgamer4000 6 месяцев назад

      Bro MIGHT be cooked, not sure though 😂

    • @AmirahO-d4u
      @AmirahO-d4u 6 месяцев назад

      It came up

  • @kieratsahota6835
    @kieratsahota6835 4 года назад +4

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +1

      Kierat Sahota Here it is - Surds (Part 6) Rationalising the Denominator 2 - 10 Minute Maths Series | GCSE Maths Tutor ruclips.net/video/ixClVENqZ6M/видео.html 😁 I’m due to do part 7 soon looking at grade 8/9 surds too!!

  • @synrust
    @synrust 3 года назад

    bruh you are so good at teaching

  • @savageking2713
    @savageking2713 4 года назад +8

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +6

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

  • @saleha1533
    @saleha1533 3 года назад +3

    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
      @JK-vm7yo 3 года назад +1

      Bruh he does

    • @saleha1533
      @saleha1533 3 года назад +1

      @@JK-vm7yo oh lol never knew thx

  • @Fatima-gk3yv
    @Fatima-gk3yv 2 года назад +4

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

    • @SantanaTayK47
      @SantanaTayK47 2 года назад

      not proving sine and cosine

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 года назад

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

    • @Fatima-gk3yv
      @Fatima-gk3yv 2 года назад

      @@TheGCSEMathsTutor thank you!!

  • @jojomooc
    @jojomooc 2 года назад

    Ahhhh you’ve come to the rescue yet again!

  • @ahmedmustafa4978
    @ahmedmustafa4978 4 года назад +3

    Amazing!

  • @asrithaveeramachaneni2173
    @asrithaveeramachaneni2173 Год назад +1

    Thank you so much!!

  • @Sophia-ur1nb
    @Sophia-ur1nb 4 года назад +1

    really helpful video, thanks!

  • @devil3514
    @devil3514 4 года назад +1

    Great video
    Thank you so much

  • @shanicetylersvlogs8554
    @shanicetylersvlogs8554 3 года назад

    thank you so much, great video

  • @OGGY365
    @OGGY365 2 года назад +1

    5 weeks left till our GCSES!

  • @zamzammohamed5230
    @zamzammohamed5230 4 года назад +3

    Finally,Thank you so much.

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +1

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

  • @zubemughal7823
    @zubemughal7823 3 года назад

    Thanks it helped me a lot 😊

  • @nikethajayasiri
    @nikethajayasiri 4 года назад

    OMG! THANK youu SO much Sir.

  • @fj3571
    @fj3571 Год назад +1

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

  • @ohhhmyyylifeee
    @ohhhmyyylifeee 4 месяца назад

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

  • @lolllhello7718
    @lolllhello7718 4 года назад +2

    Great video

  • @harisamaan786
    @harisamaan786 2 года назад +4

    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

  • @coverupper1354
    @coverupper1354 Год назад

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

  • @Tom-ez7pp
    @Tom-ez7pp Месяц назад

    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?

  • @coolguy3943
    @coolguy3943 3 года назад +1

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

  • @kieratsahota6835
    @kieratsahota6835 4 года назад +4

    Do you think they would ask this in an exam?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +1

      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
      @kieratsahota6835 4 года назад

      @@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

  • @xhibah
    @xhibah 3 года назад +1

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад

      Hope it went ok! 😁🙏🏼

    • @xhibah
      @xhibah 3 года назад +1

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад

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

  • @GCSEALevelMaths2025
    @GCSEALevelMaths2025 3 года назад

    Good video nice job sir top work.

  • @anssa6163
    @anssa6163 2 года назад +1

    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
      @TheGCSEMathsTutor  2 года назад

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

  • @AbdulWahab-hu5se
    @AbdulWahab-hu5se 4 года назад +1

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +1

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

  • @wjkkwjkf2980
    @wjkkwjkf2980 2 года назад +1

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

  • @chow4253
    @chow4253 2 года назад

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

  • @jinethweragama1218
    @jinethweragama1218 2 года назад

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

  • @sbud1
    @sbud1 Год назад +1

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

    • @rayhaan7860
      @rayhaan7860 Год назад +1

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

    • @M5FTZ
      @M5FTZ Год назад +2

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

    • @M5FTZ
      @M5FTZ Год назад +1

      If it was a graph question that would be the case

  • @mxham
    @mxham Год назад

    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
      @Mango_9934 Год назад

      no because the two triangles aren't isoceles

  • @sameerahmed5074
    @sameerahmed5074 2 года назад +2

    Is this coming up tommrow?

    • @potati4097
      @potati4097 2 года назад

      it might be coming up cuz its under circle theorems topic

  • @lolllhello7718
    @lolllhello7718 4 года назад +2

    1st true fan

  • @kashoot4782
    @kashoot4782 4 года назад +3

    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
      @TheGCSEMathsTutor  4 года назад +1

      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! 😁

  • @af2536
    @af2536 4 года назад +1

    14:41

  • @mili9520
    @mili9520 Год назад

    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
      @noel.m7148 7 месяцев назад

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

  • @j6lkx5kt31
    @j6lkx5kt31 2 года назад +1

    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

  • @Rafmee
    @Rafmee 4 года назад

    These questions do not come up ver often?

  • @shabadkaur6465
    @shabadkaur6465 3 года назад

    Can I plz get the link of worksheet in the video

  • @dfggrgrgrgrgrgrgr
    @dfggrgrgrgrgrgrgr 11 месяцев назад

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

  • @imnotmaame
    @imnotmaame 6 месяцев назад

    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

  • @ik3207
    @ik3207 2 года назад +2

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

  • @GG-wq6rp
    @GG-wq6rp Год назад

    26:45 only one that's really hard

  • @richardventre424
    @richardventre424 Год назад +1

    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

  • @maddiedavila937
    @maddiedavila937 4 года назад +3

    OMG IVE BEEN WAITING FOR THIS VIDEO DNUSOSBDSJK

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +1

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

  • @mistermusab8055
    @mistermusab8055 Год назад

    10:29

  • @muhammadsaleh6058
    @muhammadsaleh6058 3 года назад

    who perparing right now for the papers

  • @jjy2297
    @jjy2297 Год назад +2

    What

  • @animapringleot7381
    @animapringleot7381 2 года назад

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

    • @mouj4b156
      @mouj4b156 2 года назад

      Both sides are radii and so equal therefore an isosceles👍

  • @shahdmeziati-mine6914
    @shahdmeziati-mine6914 3 года назад +3

    proof for circle theorems is the worst