Gcse Further Maths

[fallen olive]

help me

[little wing]

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[normal spoke]

do you know how to prove that lines are parallel rigorously?

you can use either a:
• coordinate geometry approach
• note that BD is a diameter

and that ABCD is a cyclic quadrilateral

[fallen olive]

idk what this means tbh

[normal spoke]

all of it?

[fallen olive]

no i understand that abcd is a cyclic quadrilateral

[normal spoke]

what have you learned?

[fallen olive]

i know like all the circle theorems

[normal spoke]

ok

but can you prove that the line AC (C is the center of the circle) is perpendicular to BD?

from there you would be done

[elder yoke]

not required for further maths

well maye idk

[elder yoke]

do we just assume bd is diameter?

[normal spoke]

it can and cannot be

[elder yoke]

damn bro idk what to do with this question

ik that the opposite triangles in the quadrilateral are similar

and ik that if i draw a line from the origin to A then EAO = 90

and if the statement is true then BOA = 90 aswell

and i know BOA triangle is isoscles because of radii

O being center ofc

i got it

[hearty badger]

@fallen olive

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[fallen olive]

+close

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