Proof of the Circle Theorems
Proving the Circle Theorems: the proof that an angle in a semi circle is 90 degrees' the proof that the angle at the centre is twice the angle at the circumference, the proof that angles in the same segment are equal, the proof that opposite angles in a cyclic quadrilateral add to 180 degrees and the proof of the alternate segment theorem.
For the full list of videos and more revision resources visit www.mathsgenie.co.uk
Пікірлер: 48
I am speechless, This guy is a pure genius. Thanks a lot sir. You are helping us to get better in maths
Had to watch the last one through about four times but I think I've got it now.
@helalahmed235
3 жыл бұрын
Exactly. Never give up.
@mad8671
3 жыл бұрын
@@helalahmed235 yea
8:14 There is a slight high pitched sound at the end of when he says "degrees"
@abuzarl8657
2 жыл бұрын
Th i didnt even notice
@thecryptonic8584
Жыл бұрын
lol 😂
@6luar
3 ай бұрын
so pedantic 😭😭😭😭
@zapper8737
2 ай бұрын
yh it caught me off guard😅
@manchesterisblue542
Ай бұрын
😂😂😂
You deserve way more views and subs
@ssarvaiya
4 жыл бұрын
ye he does
@helalahmed235
3 жыл бұрын
@@ssarvaiya He really does
This is fr so helpful I ignored circle theorems like all year and now my paper 2 is in less than a week lol
This is redundancy, you can say simply that BCA=y+x But A+B+C=180 degrees Then C+C=180 :C=90degrees That's it
@14:09 could you have included the step where you expanded out 1/2(360-x), just for slow thinkers like me ? 😅. Really enjoying trying to get these proofs by myself by pausing the video and having a go!
For the fourth proof (the proof that opposite angles in a cyclic quadrilateral add to 180 degrees) I'm not sure how you know which centre angle you use (i.e. x or 360-x). Except that when I turn it upside-down, I can see how 360-x would be the angle to compare with ABD....so, having done that, it's obviously true that the other centre angle must belong to the opposite angle to the one I 'got'!
for the first proof, can I say ACB is at the circumference and angle AOB is at the centre while it is 180 degrees. If I use angle at the centre is twice as angle at the circumference, then angle ACB is half of 180 which is 90 degrees and it is a right angle.
@rosefaith6367
9 ай бұрын
no bc u cant use theorem rules
Your method for number one uses a circle theorem for its proof; two radii form an isosceles triangle. I though we weren't supposed to use circle theorems to prove circle theorems unless instructed? I've very confused how to answer #1 properly now.
@RobertLevers
4 ай бұрын
He did not use multiple radii, he used a singular radius to construct them both.
Just suggestion mathsgenie when you do video please go through the complex stuff aswell
@helalahmed235
3 жыл бұрын
Wdym?
@mad8671
3 жыл бұрын
bruh go on his website and get the complex questions
@qaisbaraki6124
3 жыл бұрын
@@mad8671 bro I told him one year ago to go through the hard questions
@qaisbaraki6124
3 жыл бұрын
How does getting the hard questions help
@mad8671
3 жыл бұрын
@@qaisbaraki6124 I legit told u
yeah im cooked
@RobertLevers
4 ай бұрын
I am taking my GCSE Mathematics paper this year and even though we have two or three months remaining, we have still got so much time to work, improve and achieve our desired grades. Just remember to keep going, do not give up!
@nfn1848
2 ай бұрын
@@RobertLeversI did so many papers and today I did one on exam condition before exam which is tomorrow… I barely got above 55😔😔
@RobertLevers
2 ай бұрын
@@nfn1848 do not worry thats still an amazing score be proud of it! You could definitely get an 8
@nfn1848
2 ай бұрын
@@RobertLevers i Hope soo… depends on grade boundaries as well… because last year u need 55 something in both papers to get grade 7… and I know I can get more but I hopeee my common sense works tomrrow and paper isn’t hard 😭😭💪😔
@Athyst
2 ай бұрын
@@nfn1848edexcel?
wouldnt you say for q1 that angle opposite the diameter = 90
@ir4338
3 жыл бұрын
just listen yh dont argue silly boy
@helalahmed235
3 жыл бұрын
you don't need to say unnecessary things bro. They didn't ask you to say that
@ir4338
3 жыл бұрын
@@helalahmed235 sorry, astaghfirullah,may Allah forgiveme
@helalahmed235
3 жыл бұрын
@@ir4338 Don't worry XD. I replied to @Ahmed hassan
@Jawad7178
3 жыл бұрын
they say in the question to not use any other circle theorems
When are you gonna make face reveal video?
@loafee
Жыл бұрын
cuz hes too scared ppl will know he's anthony joshua
@joe-gt6cr
5 ай бұрын
He did and he did a bellydance too
For the last proof, I had paused the video a couple of times and ALMOST got there (I got to the point of realising that it was about angles in a triangle adding up to 180) - but I took so long that I forgot that the question asked for proof re angle ABC!
ty
last min cram