Circle Theorem Proofs - GCSE Higher Maths

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1st Class Maths

1st Class Maths

Күн бұрын

A video explaining how to prove the six circle theorems needed for the GCSE examinations. This is suitable for the higher GCSE maths course.
Exam Question Booklets:📝
🔗Exam Question Edexcel Style: www.1stclassmaths.com/_files/...
🔗Exam Questions AQA Style: www.1stclassmaths.com/_files/...
• Circle Theorems - GCSE...
🌐 www.1stclassmaths.com/ for more high quality revision questions.
0:00 Intro
0:38 Proof 1 - Angles in a semicircle is 90°
4:49 Proof 2 - Angle at the centre is twice the angle at the circumference
7:53 Proof 3 - Opposite angles in a cyclic quadrilateral add to 180°
10:00 Proof 4 - Angles at the circumference in the same segment are equal
11:23 Proof 5 - Alternate Segment Theorem
13:49 Proof 6 - A radius bisects a chord at 90°
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Пікірлер: 62
@Petitmousey
@Petitmousey Ай бұрын
thanks for informing me about the last theorem not being needed if you do AQA just saved me so much time
@hellohowareyoutoday2784
@hellohowareyoutoday2784 20 күн бұрын
i love you
@raaafn874
@raaafn874 27 күн бұрын
such an amazing channel, never understood proof of circle theromes and was literally fully given up. but my teacher recommended your website and decided to give this video a try. best decision
@1stClassMaths
@1stClassMaths 27 күн бұрын
Welcome!
@hellohowareyoutoday2784
@hellohowareyoutoday2784 20 күн бұрын
Hope ur exam goes well
@sammya8355
@sammya8355 20 күн бұрын
You may actually be the goat I watched this last night just as an afterthought and Im so glad I watched this video now as circle theorem proofs was the last question, again I can't thank you enough!
@zowjc9ww
@zowjc9ww 14 күн бұрын
do you do edexcel or aqa? i don't remember doing a circle theorums proof question and i do edexcel?
@obinoscopekenobi9450
@obinoscopekenobi9450 14 күн бұрын
@@zowjc9ww It was something about tangents I think
@VeryBizzyIzzyy
@VeryBizzyIzzyy 4 күн бұрын
@@zowjc9wwEdexcel had the tangent proof
@wanruz
@wanruz 20 күн бұрын
litch the best channel for gcse maths thanks so much 🙏🙏🙏
@1stClassMaths
@1stClassMaths 20 күн бұрын
Glad you think so!
@philkon2
@philkon2 Ай бұрын
Best channel for gcse maths and further maths, thanks bro
@hellohowareyoutoday2784
@hellohowareyoutoday2784 20 күн бұрын
Hope your exam goes well and i hope you get everything you want for christmas
@chantommy2438
@chantommy2438 2 ай бұрын
Appreciate a lot ! Helpful
@hellohowareyoutoday2784
@hellohowareyoutoday2784 20 күн бұрын
Hope your exam goes well and i hope you get everything you want for christmas
@nishadpatkar6636
@nishadpatkar6636 2 ай бұрын
omg, I wish I found this channel sooner!
@1stClassMaths
@1stClassMaths 2 ай бұрын
:D
@hellohowareyoutoday2784
@hellohowareyoutoday2784 20 күн бұрын
Hope your exam goes well and i hope you get everything you want for christmas
@heavenasmamaw3489
@heavenasmamaw3489 Ай бұрын
Just perfect
@user-ny4ho4ku1h
@user-ny4ho4ku1h Ай бұрын
Thank you very much for sharing.
@hellohowareyoutoday2784
@hellohowareyoutoday2784 20 күн бұрын
Hope your exam goes well and i hope you get everything you want for christmas
@Pomfidy
@Pomfidy 23 күн бұрын
Very useful, thank you
@hellohowareyoutoday2784
@hellohowareyoutoday2784 20 күн бұрын
Hope your exam goes well and i hope you get everything you want for christmas
@grinder4907
@grinder4907 Ай бұрын
Thank you so much, now I can get my 9😁👌
@delightk6485
@delightk6485 2 ай бұрын
thank you so much!!
@hellohowareyoutoday2784
@hellohowareyoutoday2784 20 күн бұрын
Hope your exam goes well and i hope you get everything you want for christmas
@luv444cece
@luv444cece 2 ай бұрын
thank you soo much, this vid was so helpful, but how would you recommend memorising this, so I can retrieve this information in the exam if it comes up, thanks so much for ur vids, literally saving my life in maths rn, tysm!
@hellohowareyoutoday2784
@hellohowareyoutoday2784 20 күн бұрын
Hope your exam goes well and i hope you get everything you want for christmas
@zowjc9ww
@zowjc9ww 14 күн бұрын
This is so useful but what do we do if the question states not to use any circle theorums in our answer? Do we just do the same steps of working out but not give the reason why (as giving the reason why often involves stating a circle theorum usually) please let me know thanj you
@MANDALKARAN
@MANDALKARAN Күн бұрын
GREAT SIR ❤❤ Prove the theorem of triangle also. incentive , medium
@user-kv5zx3sr5v
@user-kv5zx3sr5v Ай бұрын
thank you so much! good luck tomorrow everyone
@1stClassMaths
@1stClassMaths Ай бұрын
Good luck!
@emjeodendaal2273
@emjeodendaal2273 27 күн бұрын
Thank you And I hope you did good in your test
@suiiii784
@suiiii784 Ай бұрын
most underrated channe;
@1stClassMaths
@1stClassMaths Ай бұрын
Too kind!
@hellohowareyoutoday2784
@hellohowareyoutoday2784 20 күн бұрын
Hope your exam goes well and i hope you get everything you want for christmas
@xxn_hxx245
@xxn_hxx245 2 ай бұрын
would they combine circle theorems and ask you to prove it in that way or only single ones like in the video? Thank you!
@1stClassMaths
@1stClassMaths 2 ай бұрын
I'd expect just a single theorem.
@leso204
@leso204 2 ай бұрын
What is the practicle application ......
@imintoomanyfandoms114
@imintoomanyfandoms114 20 күн бұрын
GOOD LUCK EVERYONE
@user-ny4ho4ku1h
@user-ny4ho4ku1h Ай бұрын
If you have Trigonometry as well, can you also present it please.
@1stClassMaths
@1stClassMaths Ай бұрын
I have done trigonometry, check my playlists.
@nryanr5273
@nryanr5273 2 ай бұрын
do you think box plots will come up much in the 2024 exams?
@sq_clutch
@sq_clutch 2 ай бұрын
Yes
@not.cookie.lol.
@not.cookie.lol. 15 күн бұрын
bro pls make a lvl content next year 🙏🏾🔥
@1stClassMaths
@1stClassMaths 15 күн бұрын
I will try
@bur107
@bur107 2 ай бұрын
First, hello I like you vids a lot
@LeslieAsah-dp6pl
@LeslieAsah-dp6pl Ай бұрын
Thank you so much sir
@GoaFrenzyy
@GoaFrenzyy Ай бұрын
Got an exam tomorrow?
@jup52
@jup52 2 ай бұрын
Thanks, I found your proofs very clear. A small help to remember, would be to include the name of the theorem written under the main heading?
@MrCrytpic
@MrCrytpic 2 ай бұрын
Are these all the circle theorems for Edexcel?
@1stClassMaths
@1stClassMaths 2 ай бұрын
Technically there is also the radius bisecting a chord at 90°. You can find this theorem in my circle theorem proofs video though. It is seemingly almost never assessed though. I don't actually recall any exam questions using it at all on this specification. You are expected to know it though but it's quite simple.
@Yaz-tm4uy
@Yaz-tm4uy 13 күн бұрын
Why am i only finding ur channel noww 😭😭
@avindusamadhi
@avindusamadhi 19 күн бұрын
❤❤❤
@MilanPujara-ed7ud
@MilanPujara-ed7ud Ай бұрын
Could this turn up on OCR GCSE Maths?
@1stClassMaths
@1stClassMaths Ай бұрын
Yes it could.
@Puppyslush
@Puppyslush 2 ай бұрын
Would u have to memorise this
@1stClassMaths
@1stClassMaths 2 ай бұрын
Yes or be able to work it out again yourself. This topic doesn’t seem to come up too often though.
@hamzasherasmat6593
@hamzasherasmat6593 Ай бұрын
I thought there were 8 circle theorems
@seno601
@seno601 Ай бұрын
the last proof, is it meant for ocr?
@peteypops
@peteypops 2 ай бұрын
Minor, major angles….why not acute and obtuse angles?….sorry, old GCE student here.
@1stClassMaths
@1stClassMaths 2 ай бұрын
Either is fine really.
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