Circle Geometry theorem qtn.. *imporant* (1 Viewer)

[coroneos]

Hi,

I was working through a circle geo question and I was wondering if the following can be stated in the hsc exam as a theorem:

"equal chords subtend equal angles at the circumference".

Is that a valid theorem??

I checked the syllabus and it was not in there. So it must be incorrect?

 

[Affinity]

equal arcs do...
the chord thing is a bit tricky, because in general, the angle that is subtended on the major arc is different to the one subtended on the minor arc

 

[coroneos]

but where is that theorem? it aint in the syllabus or in textbooks!

 

[Affinity]

you can state equal arcs subtend equal angles at the circumference of equal circles.
phone the HSC advice line if you want to make sure

 

[Affinity]

check page 177, 178 of the *ahem* coroneos supplement

EDIT: to save you time digging that book out:

page 177
SECTION 15 - ANGLES IN CIRCLES

THEOREMS

2.) ANGLES IN THE SAME SEGMENT OF A CIRCLE ARE EQUAL

 

[Marianna]

2.) ANGLES IN THE SAME SEGMENT OF A CIRCLE ARE EQUAL

same as equal arcs subten equal angles

I don't like the segments one I prefer to think of arcs

 

[coroneos]

yes but in this question the angles being looked at are facing different arcs.