• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

Circle Geometry =( (1 Viewer)

U MAD BRO

Member
Joined
Jul 29, 2012
Messages
287
Gender
Undisclosed
HSC
N/A
I can do part (i) :cool: it is just equiangular...
But I can't do the rest :(
If I try I might get them but I am so tired right now and this is the last question in the paper !
 

barbernator

Active Member
Joined
Sep 13, 2010
Messages
1,439
Gender
Male
HSC
2012
ii) as ADM|||CBM,

CP/CM=AE/AM
angle C = angle A.
therefore they are similar 2 sides in the same ratio and their included angle is equal.

might add some more as i get em

iii) angle OFB=90 (midpoint of a chord forms a right angle with the origin)
angle OMP = angle OMQ = angle QEX (simirarry)
therefore they are cyclic quads as opposite angles are supplementary
 
Last edited:

U MAD BRO

Member
Joined
Jul 29, 2012
Messages
287
Gender
Undisclosed
HSC
N/A
ii) as ADM|||CBM,

CP/CM=AE/AM
angle C = angle A.
therefore they are similar 2 sides in the same ratio and their included angle is equal.

might add some more as i get em
Or you could say they are equiangular since corresponding angles are subtended by the same arcs.
Part (i) is easy, I can't do the rest :(
 

Demento1

Philosopher.
Joined
Dec 23, 2011
Messages
866
Location
Sydney
Gender
Male
HSC
2014
I might scan up my solutions if I can. Typing it all out on LaTeX is time consuming.
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top