• Best of luck to the class of 2025 for their HSC exams. You got this!
    Let us know your thoughts on the HSC exams here

Simple Circle Geometry question (1 Viewer)

bawd

Member
Joined
Apr 10, 2008
Messages
889
Location
Sydney
Gender
Female
HSC
2009
Draw it from my explanation if you can:

AMB and CMB are two intersecting chords of a circle, centre O. If OM bisects angle AMC internally, prove that AB = CB.

I tried by proving congruent triangles ADM and CMB, but it didn't work lol.

Thanks to whoever can help. :)
 

bawd

Member
Joined
Apr 10, 2008
Messages
889
Location
Sydney
Gender
Female
HSC
2009
That's how the question is worded, but I'll reword as to how I understand it.

Two chords AB and and CD intersect at a point M in a circle with O as the centre. The line OM (the line from the centre to the intersection point of the chords AB, CD) bisects angle AMC. Prove that AB = CD.
 

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

Top