gcse circle theorems help

guys for gcse edexcel maths do you need to be able to PROVE the circle theorems as well? or just use and state them.
tysm

guys for gcse edexcel maths do you need to be able to PROVE the circle theorems as well? or just use and state them.
tysm

guys for gcse edexcel maths do you need to be able to PROVE the circle theorems as well? or just use and state them.
tysm

There are a lot of these theorems. I have found a video with explanation to the proofs, look below:

Perhaps it is helpful for you.

U only need to specify/state the rule if the question says so. So like for example if it says 'explain how you got your answer' or 'show your working to your solutions clearly' or something like that then I'd recommend u state the rule u used/found.
Otherwise it should be ok if you don't state the rule

You need to be able to apply your knowledge of circle theorems to calculate angles, and state the circle theorems to explain how you found those angles.
Proving the circle theorems are absolutely not needed.
When I say state a circle theorem, I more mean (let's take the cyclic quadrilateral circle theorem as an example) that you should say 'angle = 180-110=70 (example values) because opposite angles in a cyclic quadrilateral add to 180,' rather than saying the full theorem: 'if a cyclic quadrilateral is inscribed in a circle, the the product of its diagonals is equal to the sum of the product of its two pairs of opposite sides, and from that opposite angles...' I think you get the gist anyway.

TYSM

guys for gcse edexcel maths do you need to be able to PROVE the circle theorems as well? or just use and state them.
tysm

no. just say. (working) because an isosceles triangle has two equal sides and AB and BC both have the same point, O, and therefore, are radii, so must be equal.
for the alternate segment theorem, just state "alternate segment theorem" which doesn't need to be explained, while others need to go in depth, like angle at center is twice the angle at the circumference (which is a bit lengthy)

guys for gcse edexcel maths do you need to be able to PROVE the circle theorems as well? or just use and state them.
tysm

yeah you need to be able to prove pretty much all of them, i thought i didnt need to know how to do the one about 2 tangents having equal distance from the point they intersect each other and the points that they touch the circle, and then it came up as my last question on paper 2 last year. my best advice would be to just learn how to prove them all vaguely, so then they cant catch you off guard with one you thought you needed to know.
these are the ones i know for sure they can ask you to prove:
-right angled triangle in a semicircle
-two tangents having equal distance
-angle at the centre is half angle at the circumference (proved in a similar way to the right angled triangle semicircle one)
but to be honest, i'd familiarise yourself with all of their proofs.

yeah you need to be able to prove pretty much all of them, i thought i didnt need to know how to do the one about 2 tangents having equal distance from the point they intersect each other and the points that they touch the circle, and then it came up as my last question on paper 2 last year. my best advice would be to just learn how to prove them all vaguely, so then they cant catch you off guard with one you thought you needed to know.
these are the ones i know for sure they can ask you to prove:
-right angled triangle in a semicircle
-two tangents having equal distance
-angle at the centre is half angle at the circumference (proved in a similar way to the right angled triangle semicircle one)
but to be honest, i'd familiarise yourself with all of their proofs.

You sure about that? I was never taught (probably could figure out a couple) circle theorem proofs as GCSE content and I'd be shocked if it came up in any paper.

My initial impression was that thats enough and the proofs were for interest only, but from
https://qualifications.pearson.com/content/dam/pdf/GCSE/mathematics/2015/specification-and-sample-assesment/gcse-maths-2015-specification.pdf
G10 apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results
So proof is part of the spec. Time to drag that bull in from the garden and sacrifice it in honour of thales.

yeah you need to be able to prove pretty much all of them, i thought i didnt need to know how to do the one about 2 tangents having equal distance from the point they intersect each other and the points that they touch the circle, and then it came up as my last question on paper 2 last year. my best advice would be to just learn how to prove them all vaguely, so then they cant catch you off guard with one you thought you needed to know.
these are the ones i know for sure they can ask you to prove:
-right angled triangle in a semicircle
-two tangents having equal distance
-angle at the centre is half angle at the circumference (proved in a similar way to the right angled triangle semicircle one)
but to be honest, i'd familiarise yourself with all of their proofs.

My initial impression was that thats enough and the proofs were for interest only, but from
https://qualifications.pearson.com/content/dam/pdf/GCSE/mathematics/2015/specification-and-sample-assesment/gcse-maths-2015-specification.pdf
G10 apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results
So proof is part of the spec. Time to drag that bull in from the garden and sacrifice it in honour of thales.

oh ty
does anyone know if in any past questions they have asked to prove the theorems or just to use them? bcs all the dr frost questions ive done never asked for proof?!

guys for gcse edexcel maths do you need to be able to PROVE the circle theorems as well? or just use and state them.
tysm