Proving the Circle Theorems | Grade 9 Maths Series | GCSE Maths Tutor
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- Опубликовано: 8 сен 2024
- 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.
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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...
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My maths paper 3 is on Monday and your helping soooooo much. Your like the new freesciencelessons guy
Thanks!!! That’s some high status feedback right there 😁🙏🏼
freesciencelessons guy used to work at my school he’s called Dr donnely
@@harryt1016 which school did you go to?
@@alternate1247 Blue Coat
@@harryt1016 bruh uve got a celeb at ur school HAHAH, well was he nice then
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
Yooooo my teacher tried to explain this last week and it literally made zero sense.. understood every word you said!!! Thank you so much 🥰
Great to hear!! Glad I could help!! 😁🙏🏼
Have a test on Saturday. Revising all the things I need to 'prove' algebraically. This video helped me a lot. THANKS!!!!
Aaryan Ramani Amazing news!! Good luck 😁🤞🏼🤞🏼🤞🏼
How would you recommend going about memorising these proofs?@@TheGCSEMathsTutor
Thank you so much man, I have my mocks next week and this is so helpful. Subbed!
Great to hear!!! Best of luck to you 😁🤞🏼 let me know if there are any topics you’d like doing in the mean time!
@@TheGCSEMathsTutorHow would you recommend going about memorising these proofs?
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!
Glad to hear it! Thank you 😁🙏🏼
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 ❤️
Amazing news! So glad to hear it’s useful 😁🙏🏼
W
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 😃
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
@@marceledeko6030 oo that’s sad
what did u get? , did it come up in paper 1 ? which question was it. thanks
@@marceledeko6030 what was the wuestion
@@woknow9356 what was the question
thank you for this. now im hoping one of these come up tomorrow in paper 3 because of your help
Same
@@ag6125 how did it go
@@joshua3027 circle theorems didn’t come up but icl the paper was easy
@@joshua3027 wbu
Can you do exponential growth and decay please😩 Literally most confusing thing ever
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!
By the way, that last proof of the alternate segment theorem is soooooh clever and cute !
absolutely brilliant! you explained it so well in 30 minutes. took my teacher 2 hours and still didn’t get it
Skill issue
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
i also have tomorrow maths test. i dont know what will happen.. hope this will help me
thanks for the vidio @the maths tutor
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 :)
2 years later and you still a ledgend😘🤗
Thank you so much 😁🙏🏼🙏🏼
thanks exams in the next 3 days and this is a lifesaver
!
Tbh your maths videos are best . Your a legend
So very helpful. Thank you.
Also please can you do a video on surds the grade 7/8 ones?
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!!
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.
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 :/.
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....
Sir are these all the proofs you need to know for the GCSE edexel maths course?
1 minute to exams hustle never stops
Sir, can you please upload a video on bearings
Thanks for everything 😘💖
Savage King it’s on my list!! It may not be this weekend but it’s coming very very soon! 😁 thank you!!
Hey sir! Can I say you're vids are great, however I wanted to say, have you every considered making A-Level Maths content?
Bruh he does
@@JK-vm7yo oh lol never knew thx
gcse edexcel paper 2 tomorrow, could we get asked to prove circle theorem or sine/cosine rule as a question?
not proving sine and cosine
I would say it’s unlikely.. but I wouldn’t like to rule it out! 🤞🏼🤞🏼
@@TheGCSEMathsTutor thank you!!
i love this guy
Thank you so much! 😁🙏🏼
1st true fan
Amazing!
Ahmed Mustafa thank you 😁🙏🏼
Ahhhh you’ve come to the rescue yet again!
Thank you so much!!
My absolute pleasure 😁🙏🏼
bruh you are so good at teaching
really helpful video, thanks!
Great to hear 😁🙏🏼
thank you so much, great video
If you can prove the alternate segment a different way to what you have said here would you still get the marks?
Great video
Thank you so much
GS Gaming YT Thank you!! My pleasure 😁🙏🏼
would you get/ have there been prev gsce qs on proving circle theorems?
OMG! THANK youu SO much Sir.
Thanks it helped me a lot 😊
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
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! 😁
how do you prove a tangent and a radius are perpendicular?
man's panicking for the maths exam tmr icl same ur not the only one ngl "we all got this"
I think you would find the gradient for both, if u multiply both gradients u should get -1 I’m not too sure
If it was a graph question that would be the case
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
No problem at all! 😁🙏🏼
Finally,Thank you so much.
Zamzam Mohamed it has been a long time coming 😂😂 More to come tomorrow!!!
what if the cyclical quadrilateral doesnt contain the radius point?How would you prove it then?
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?
It’s another great way of using a circle theorem to prove another circle theorem for sure 😁🙏🏼
Do you think they would ask this in an exam?
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 😁
@@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
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?
No because there is no angle that meet that the centre and at the circumference via the same arc
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
Hi sir, I’m doing Edexcel IGCSE Maths 4MA1, will circle theorem proof be in the papers that I do?
here the morning before maths paper 2
Bro MIGHT be cooked, not sure though 😂
It came up
Is this coming up tommrow?
it might be coming up cuz its under circle theorems topic
for the boe tie question, could you use base of an isocles triangle are equal to prove that the two angles are equal
no because the two triangles aren't isoceles
14:41
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
Ingenious, loved it
5 weeks left till our GCSES!
10 days now. where did all the time go 😭
@@user-su6js9po4l 2 days
Great video
Lolll Hello Great to hear 😁🙏🏼
The GCSE Maths Tutor
Thank you
i have a test on this tomorrow, thank you so much!! 🤍
Hope it went ok! 😁🙏🏼
@@TheGCSEMathsTutor it was great, thank you so much !!
@@xhibah So glad to hear that! No problem at all 😁🙏🏼
Hi, how would you recommend going about memorising these proofs?
just keep practicing
Good video nice job sir top work.
so in your answer you can reference another circle theorem proof without explaining it?
Absolutely 😁🙏🏼
@@TheGCSEMathsTutor thank you
Will there be GCSE circle theorem proofs questions for Higher AQA?
Do all of the circles theorems give all marks out of the question?
Sorry I’m not sure exactly what you are asking 🙏🏼
they actually are expected to come up so u man watching this best start paying attention 🤣
for time 7:32 why is it 360-x-y shouldnt it be 360-x+y?
These questions do not come up ver often?
Can I plz get the link of worksheet in the video
26:45 only one that's really hard
OMG IVE BEEN WAITING FOR THIS VIDEO DNUSOSBDSJK
Maddie Davila perfect timing then! Great to hear 😁🙏🏼
10:29
What
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
FOR THE FIRST ONE HOW DID YOU KNOW IT WAS A ISOSCELES TRIANGE TT😪
Both sides are radii and so equal therefore an isosceles👍
who perparing right now for the papers
proof for circle theorems is the worst
ikr