Aww but it's so fun.
Trig needs to go die. But circle geometry is heaps fun.
I guess just know your thereoms really well and get teacher's help to go through it slowly.
Post a couple of questions u've had problems with and indicate what these are so we can try to identify the sources/causes of yr difficulties. Asking a very general question will only elicit general and sometimes not very useful advice.
This. I absolutely HATED circle geometry to start off with because I couldn't seem to grasp the concepts. I did a heap of questions each week and it ended up being one of the easiest topics to me. So practice, practice, practice.
Post a couple of questions u've had problems and indicate where u're having problems so we can try to identify the source/cause of yr difficulties. Asking a very general question will only elicit general and sometimes not very useful advice.
+1
Honestly Drongoski, you are the most rep worthy member. Why can I not rep you again?!
But I'll try:
Sure, remembering all the theorems will only go so far. You have to learn to INTERPRET what the question is asking. In the HSC, they'll usually have some follow up questions, which will give you ideas on how to proceed to the final hardest part.
______________________ FOR EXAMPLE
NB: I'm making this up, so it's a dodgy question
Prove that AB.EC = BC.DE (look at the diagram in next post)
You have no information about the sides at all. None of the rules fit the theorems. All the stuff on the diagram relates to angles. The only tool you have left that allows you to prove the sides are in the same ratio, is similar triangles.
Since the question asks about the sides, you have to choose the triangles that contain them. ie triangles ABC and DEC
To prove similar triangles, you find whether they fulfil one of the following:
1) Equiangular
2) Sides in same ratio
3) 2 sides in the same ratio about an equal angle
The question provides no information about sides, so you must use the equiangular proof.
In triangle ABC and DEC:
angle ACB is common
As hard as you look, you won't find a theorem that allows any of the other angles in ABC to equal any of the other angles in DEC. So, the only other option is finding a third angle.
And... you do the rest.
The solution will show up when you put your mouse over the box.
angle PCA = angleBAC (alt angles)
angle PCA = angleDEC (chord to tangent's poc = angle in alt segment)
.'. angleBAC = angleDEC
In triangle ABC and DEC:
angle ACB is common
angle BAC = angle DEC (proved above)
angle ABC = angle EDC (3rd angle)
.'. triangle ABC and DEC are similar
Since angle BAC = angle DEC, AB/BC = DE/EC (ratio of sides in similar triangles)
This is soo imbarising for me ! Why can't I get this ! Arh! I won't stop!!
I couldn't see the small alternate segment.
The problem with me is, whenever I see a pathway to a solution, I keep continuing and wondering how to do it. Rather then STOP and say, maybe there's another way.
E.g I took the larger Alternate Segment instead of the smaller one.
AHHH!!!!!!!!!!!!!!!!!!!!!!!!!
Again! DAMMIT!! WHY CANT I SEE THESE THINGS!!!
Lmfao ! yes dammit! Omgsshhh!!!!!
Tyvm. Im getting of BoS. Im going to do as many questions as i can. Till death
i find that the best way to deal with circle geometry is to work backwards. what i mean by this is that when you see the question, you have to think to your self what rule will prove this. knowing what properties must prove makes it a lot easier imo. you can try turning the page around, just to give you another perspective on the problem, you never know, it may help.
also, if you are using more than 2 angles then (generally) that means you are making it too complicated.
Ahh!! I just sat my Maths ext exam. Period 5 Friday! Woooo!
I did...well....it feels weird. Because I got 100% in my 2unit exam, I've kinda put myself in high expectations, so arhhh i'm a bit .....anxious you could say.
I'm pretty happy, caught this Trisection question out..however..I LEFT 4 MARKSS !! DAMMIT!!
FOUR BLOODY MARKSS !!!!!!!!!!!!!!!!!!!!!!!!!!!!
..
... wait for it...
on Circle Geometry !!! Dammit, I could'nt prove this Cyclic Quad!!! I'm so weak with Cyclics! Everything else went pretty sweeeet ! Im hoping for a 85%...or 80% sigh................!!
Circle geometry is actually my favourite this year. Trigonometry is also alright. It took me a while to grasp the concept of it but after that it was just like any other math subject.
, and yes, working backwards is pretty coool.
