Proving the Circle Theorems | Grade 9 Maths Series

No video

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

Рет қаралды 107,074

Күн бұрын

A video revising the techniques and strategies for proving the circle theorems (Higher Only).
This video is part of the Geometry module for Circle Theorems in GCSE maths, see my other videos below to continue with the series.
These are the calculators that I recommend:
Casio fx-83GTX Scientific Calculator, Black - amzn.to/2P2cyGG
Casio Fx-991ex Scientific Calculator Fx 991 Ex - New + 552 Function - Classwiz - amzn.to/2sw2Moz
Don’t forget to check these videos out:
Part 1 - The Entire GCSE in Only 2 Hours!! Higher and Foundation Revision | GCSE Maths Tutor - • Everything You Need To...
Part 2 - Everything you need for a Grade 6-9 in your Maths GCSE (Higher Only) - • Everything for a Grade...
The 10 Hardest GCSE Maths Questions & How to Solve Them | Grade 9 Maths Series | GCSE Maths Tutor - • The 10 Hardest GCSE Ma...
🔹 Watch the video
🔹 Make notes
🔹 Practice the questions
🔹 Mark your work
🔹 Review what you have learnt on the exam questions
Part 1 - All of the Circle Theorems in 10 minutes! - Coming Soon!
Part 2 - Circle Theorems - • Circle Theorems - Exam...
Part 3 - Circle Theorems using Algebra - Coming Soon!
Part 4 - Proving the Circle Theorems - • Proving the Circle The...
Part 5 - The 5 Hardest Circle Theorem Exam Questions - • The 5 Hardest Circle T...
Please like ✅ please comment ✅ please subscribe ✅
Enjoy the video!
Follow me here:
Instagram: ...
Twitter: / gcsemathstutor
Music: Over N Over
Musician: Not The King.👑

Пікірлер: 161

@aadammajid3955 4 жыл бұрын

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

@TheGCSEMathsTutor 4 жыл бұрын

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

@harryt1016 3 жыл бұрын

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

@alternate1247 3 жыл бұрын

@@harryt1016 which school did you go to?

@harryt1016 3 жыл бұрын

@@alternate1247 Blue Coat

@minalhq5762 3 жыл бұрын

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

@lansonoyihongwong5830 9 ай бұрын

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 4 жыл бұрын

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 4 жыл бұрын

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

@aaryanramani1699 3 жыл бұрын

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

@TheGCSEMathsTutor 3 жыл бұрын

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

@fj3571 11 ай бұрын

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

@shush3328 2 жыл бұрын

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 2 жыл бұрын

Glad to hear it! Thank you 😁🙏🏼

@VEMZOfficial 4 жыл бұрын

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

@TheGCSEMathsTutor 4 жыл бұрын

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 11 ай бұрын

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

@turbiyo4026 3 жыл бұрын

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 3 жыл бұрын

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

@shuncho7844 Жыл бұрын

@woknow9356 2 жыл бұрын

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 2 жыл бұрын

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 2 жыл бұрын

@@marceledeko6030 oo that’s sad

@gary_shah2187 Жыл бұрын

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

@gary_shah2187 Жыл бұрын

@@marceledeko6030 what was the wuestion

@gary_shah2187 Жыл бұрын

@@woknow9356 what was the question

@joshua3027 Жыл бұрын

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

@ag6125 Жыл бұрын

Same

@joshua3027 Жыл бұрын

@@ag6125 how did it go

@ag6125 Жыл бұрын

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

@ag6125 Жыл бұрын

@@joshua3027 wbu

@jojohn3865 5 ай бұрын

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

@infernalspy0176 3 жыл бұрын

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

@fishymemes2308 Жыл бұрын

Skill issue

@arshianoohi8362 4 жыл бұрын

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

@TheGCSEMathsTutor 4 жыл бұрын

Arshia Noohi The concept is the same as compound interest and depreciation, check them out here: kzfaq.info/get/bejne/n7GHZK2KqrzFo2g.html and the link for that series is in the video description!

@i4TheWinN 4 жыл бұрын

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 2 жыл бұрын

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

@nabahathabdhullah3597 2 жыл бұрын

thanks for the vidio @the maths tutor

@t_ahmad Жыл бұрын

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 2 жыл бұрын

2 years later and you still a ledgend😘🤗

@TheGCSEMathsTutor 2 жыл бұрын

Thank you so much 😁🙏🏼🙏🏼

@nastery440 Жыл бұрын

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

@josephbriantruan9966 2 жыл бұрын

Tbh your maths videos are best . Your a legend

@doyouknowdawae2625 3 жыл бұрын

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 4 ай бұрын

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....

@sewind6613 2 ай бұрын

So very helpful. Thank you.

@weirdworld2533 3 ай бұрын

1 minute to exams hustle never stops

@kieratsahota6835 4 жыл бұрын

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

@TheGCSEMathsTutor 4 жыл бұрын

Kierat Sahota Here it is - Surds (Part 6) Rationalising the Denominator 2 - 10 Minute Maths Series | GCSE Maths Tutor kzfaq.info/get/bejne/n95zn7l2s9e-ZoE.html 😁 I’m due to do part 7 soon looking at grade 8/9 surds too!!

@saleha1533 3 жыл бұрын

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 3 жыл бұрын

Bruh he does

@saleha1533 3 жыл бұрын

@@JK-vm7yo oh lol never knew thx

@costrix5697 Жыл бұрын

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.

@calcpost3641 3 жыл бұрын

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

@savageking2713 4 жыл бұрын

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

@TheGCSEMathsTutor 4 жыл бұрын

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

@to_discover_life 2 жыл бұрын

i love this guy

@TheGCSEMathsTutor 2 жыл бұрын

Thank you so much! 😁🙏🏼

@Fatima-gk3yv 2 жыл бұрын

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

@SantanaTayK47 2 жыл бұрын

not proving sine and cosine

@TheGCSEMathsTutor 2 жыл бұрын

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

@Fatima-gk3yv 2 жыл бұрын

@@TheGCSEMathsTutor thank you!!

@harisamaan786 2 жыл бұрын

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 2 жыл бұрын

No problem at all! 😁🙏🏼

@unclesage2330 2 ай бұрын

here the morning before maths paper 2

@legitgamer4000 2 ай бұрын

Bro MIGHT be cooked, not sure though 😂

@user-hm3gk8bg6m 2 ай бұрын

It came up

@kashoot4782 4 жыл бұрын

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 4 жыл бұрын

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! 😁

@synrust 3 жыл бұрын

bruh you are so good at teaching

@asrithaveeramachaneni2173 Жыл бұрын

Thank you so much!!

@TheGCSEMathsTutor Жыл бұрын

My absolute pleasure 😁🙏🏼

@jojomooc 2 жыл бұрын

Ahhhh you’ve come to the rescue yet again!

@ahmedmustafa4978 4 жыл бұрын

Amazing!

@TheGCSEMathsTutor 4 жыл бұрын

Ahmed Mustafa thank you 😁🙏🏼

@lolllhello7718 4 жыл бұрын

1st true fan

@nikethajayasiri 3 жыл бұрын

OMG! THANK youu SO much Sir.

@zubemughal7823 3 жыл бұрын

Thanks it helped me a lot 😊

@shanicetylersvlogs8554 3 жыл бұрын

thank you so much, great video

@Sophia-ur1nb 4 жыл бұрын

really helpful video, thanks!

@TheGCSEMathsTutor 4 жыл бұрын

Great to hear 😁🙏🏼

@anssa6163 2 жыл бұрын

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 2 жыл бұрын

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

@devil3514 4 жыл бұрын

Great video Thank you so much

@TheGCSEMathsTutor 4 жыл бұрын

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

@sbud1 Жыл бұрын

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

@rayhaan7860 Жыл бұрын

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

@M5FTZ Жыл бұрын

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

@M5FTZ Жыл бұрын

If it was a graph question that would be the case

@coverupper1354 Жыл бұрын

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

@OGGY365 2 жыл бұрын

5 weeks left till our GCSES!

@user-su6js9po4l 2 жыл бұрын

10 days now. where did all the time go 😭

@sameerahmed5074 2 жыл бұрын

@@user-su6js9po4l 2 days

@ohhhmyyylifeee 27 күн бұрын

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

@coolguy3943 3 жыл бұрын

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

@jinethweragama1218 2 жыл бұрын

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

@xhibah 2 жыл бұрын

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

@TheGCSEMathsTutor 2 жыл бұрын

Hope it went ok! 😁🙏🏼

@xhibah 2 жыл бұрын

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

@TheGCSEMathsTutor 2 жыл бұрын

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

@kieratsahota6835 4 жыл бұрын

Do you think they would ask this in an exam?

@TheGCSEMathsTutor 4 жыл бұрын

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 4 жыл бұрын

@@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

@j6lkx5kt31 Жыл бұрын

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 Жыл бұрын

Ingenious, loved it

@mxham Жыл бұрын

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 Жыл бұрын

no because the two triangles aren't isoceles

@zamzammohamed5230 4 жыл бұрын

Finally,Thank you so much.

@TheGCSEMathsTutor 4 жыл бұрын

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

@af2536 3 жыл бұрын

14:41

@fj3571 11 ай бұрын

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

@bothebrit8916 10 ай бұрын

just keep practicing

@mili9520 10 ай бұрын

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 4 ай бұрын

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

@imnotmaame 3 ай бұрын

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

@lolllhello7718 4 жыл бұрын

Great video

@TheGCSEMathsTutor 4 жыл бұрын

Lolll Hello Great to hear 😁🙏🏼

@lolllhello7718 4 жыл бұрын

The GCSE Maths Tutor Thank you

@wjkkwjkf2980 2 жыл бұрын

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

@TheGCSEMathsTutor 2 жыл бұрын

Absolutely 😁🙏🏼

@wjkkwjkf2980 2 жыл бұрын

@@TheGCSEMathsTutor thank you

@sameerahmed5074 2 жыл бұрын

Is this coming up tommrow?

@potati4097 2 жыл бұрын

it might be coming up cuz its under circle theorems topic

@user-lv5gu3yt6e 8 ай бұрын

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

@GCSEALevelMaths 3 жыл бұрын

Good video nice job sir top work.

@chow4253 2 жыл бұрын

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

@AbdulWahab-hu5se 4 жыл бұрын

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

@TheGCSEMathsTutor 4 жыл бұрын

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

@Rafmee 4 жыл бұрын

These questions do not come up ver often?

@shabadkaur6465 3 жыл бұрын

Can I plz get the link of worksheet in the video

@ik3207 2 жыл бұрын

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

@GG-wq6rp Жыл бұрын

26:45 only one that's really hard

@richardventre424 Жыл бұрын

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