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HSme_louvre
Mar 20, 2007, 08:41 AM
Besides studying, can you guys offer some tips on how to understand geometry better?

I study, but I still fail the test. Dami kasi question, not enough time. I hate the proof, and even the true or false question. Sobrang tricky. I can't seem to get it right.

Iba kasi geometry, it's not like I'm just memorizing the terms. I really need to think outside the box. I don't even know what theorem to use, and sometimes I misuse it.

It's tough finding the measurements of the angle. My last exam, I was just blank. I forgot if adjacent angles means two congruent angles, or maybe not. Or how I reason if two opposite angles are congruent thats why they are parallelogram. Taking the exam frustrates me, my mind always wander around, and I start to sweat.

I'm somewhere in 70-ish ngayon, if I haven't done my homework, siguro magiging 60 pa yun. I really tried my best, but I can't understand the subject.

PLEASE SAVE ME FROM FAILING!!!

math_techie
Mar 20, 2007, 10:05 AM
Actually, your problem does not have any other solution than studying.

FOBANESE
Mar 20, 2007, 12:27 PM
Yes, I agree, geometry is not a class that merely involves plugging in numbers and producing answers. There requires an understanding of the concepts and the ability to apply that to problems.

Here are a few suggestions:
Try seeking a tutor if that is available at your school, or simply ask a classmate to explain some concepts to you

Look for books at your library than simplifies geometry

Ask your teacher to explain the material in greater detail to you after class. Tell your teacher it is difficult for you to grasp and maybe they will try to explain it in a different manner

There are many websites that offer direct explanations about academic topics. For instance, check this out...
Great detail on each topic covered in geometry: http://en.wikipedia.org/wiki/List_of_basic_geometry_topics
Great explanations and shows you how to do many problems step-by-step:
http://hotmath.com/

Practice, practice, practice! The more geometry problems that you practice outside of class, the greater your understanding of the subject will be

Good luck! Remember, studying can only help you. The more you study, the more you learn.

FOBANESE
Mar 20, 2007, 12:33 PM
p.s. It also seems to me that you allow your nervousness to override your concentration. Try loosening up prior to taking an exam (listening to music, sleeping well, etc.) Try not to panic and stay confident! :)

HARE
Mar 20, 2007, 07:57 PM
Haha! I was caught in the same situation when I was in college. When I study, it seems that it is easy but when exam date came, I always go blank...

I passed though but on the verge of failing...After a few semester I tried to look back to geom and study it again, it turns out na I got it na.....sobrang andali pala..You're most analytic mind should work...When my sister was studying during summer for her entrance exams, I grab all her math questions and try to answer it one by one..and it's fun...

Jestnii
Mar 23, 2007, 03:46 PM
Visualize. Geometry (and trigonometry) is a study of shapes. Each term in geometry has a direct visual representation. If "adjacent angles" doesn't stick in your mind, then a picture of two angles beside each other might.

This approached helped me a lot when I was studying back then.

Katchatore
Mar 23, 2007, 07:12 PM
Practice makes perfect. Madali lang ang Geometry, except for the proving part that. Maghanap ka ng p-sets na pwede mong i-solve. Kasi kahit ka kanino magpaturo eh kung wala ka namang kusa na magpractice pa eh magiging sub-par lang ang performance mo.

Hindi naman kasi memorization/liberal arts subject ang Geometry eh. Technical course yan at nangangailangan ng masusing pag-aaral at ensayo. Isipin mo na lang kung makikipag-boksing ka. Alam mo nga yung mga technique pero kung hindi ka naman mag-eensayo eh bugbog-sarado ka din sa kalaban mo.

ubermensch
Mar 24, 2007, 04:22 AM
Hare, good for you *okay*

As others here have said, on one side, it's a mental battle. Like when taking exams, minsan nauunahan ng nerbyos. So para mabawasan ito, mag-practice. Habang mas nakakasagot ka ng tama at mas naga-grasp mo ang concepts, madadagdagan ang confidence mo. It's not an overnight thing that happens right away, pero it's something within your capabilities naman.

With practice, mas nae-expose ka rin sa iba't ibang klase ng problems. When solving true or false questions for example, kapag nagkamali ka, make sure na hanapin mo nung dahilan kung bakit ka nagkamali. Once napinpoint mo kung ano nung mali sa reasoning mo, mas mare-retain sa memory mo nung relevant concept.

When reading solutions in books, try mo minsan na wag lang basahin basta basta nung proof. Takpan mo ng papel kunwari nung rest of the solution, tapos try mo i-solve on your own. Kasi minsan kung babasahin nung solution, kaya naman intindihin, pero dapat mapractice rin na ikaw nung makaisip ng solution. Pero of course if you get stuck, tignan mo kung ano nung ginawa. Keep in mind that the solution you might come up with might be different from the one in the book, but that's alright.

Mahirap gawin sa simula, pero when writing down something (i.e. a part of the solution), isipin mo kung justified ba iyon. By that I mean, make sure may reason/theorem/law which supports your next step.

And if need be, ask for help. But when asking for help, make sure you've tried it out first. Kasi kung kunwari mag-post ka rito sa PEX ng isang problem or magtanong ka from somebody else, kapag nabigay na sa iyo nung solution, that's fine. Pero dapat rin mapinpoint kung saan ka nagkamali sa original solution mo.

Good luck! *okay*

stepehenyan@12
Mar 25, 2007, 12:47 AM
if you don't understand what is being taught ask the teacher to repeat and elaborate why? because he or she is paid to teach and explain get your money's worth. stay after class and have a one on one tutorial session. why waste money on a private tutor it's the class adviser who should be explaining everything unless the teacher doesn't know what she's teaching.

kunoichi921
Mar 25, 2007, 01:09 PM
The proving part in geometry is quite easy. What I usually do in the first step is write the given and then analyze the steps in order to come up with the correct solution. The proofs in your statements have patterns. I can also recommend MSA Geometry and Addison Wesley's Geometry but I'd pick MSA although Addison is a good practice book. MSA has a lot of examples while Addison Wesley has a lot of exercises and conceptualizing parts.

HSme_louvre
Apr 1, 2007, 03:34 AM
thanks guys.
I guess I just have to do more work in the class.
I have a test coming up.
Hope I pass!!

viscount
Apr 2, 2007, 10:27 PM
i was lucky my teacher in geometry back in HS was very good. That time medyo tamad tamaran pa ako magaral pero lahat ng tinuturo niya puro make sense.

If youre failing now, my suggestion is to start all over if you have time. Dapat dyan matibay talaga foundation mo sa mga basic concepts. Saka try mong gawing part ng vocabulary mo yung mga simpleng terms tulad ng adjacency, congruency, etc. etc. Medyo malapit naman sa english meaning nila diba.

Minsan yung mga mukhang mahirap na tanong combinations lang ng mga basic concepts (pytagorean, vertical angle theorem, linear angles etc.). Unang una dapat alam mo yung mga basic concepts then start to locate san pwede iaply yung mga yun sa question.

Dati ang ginagawa ko pinoprove ko magisa yung mga theorems na diniscuss sa class para alam ko kung paano dinidiskartehan yung mga ganong klaseng problem. And more often than not, variation lang nung mga proof yung lumalabas sa exam.

And last kung hindi ka sure kung congruent ba o hindi yung dalawang angles o kung may concept na hindi ka sure which is which. Try to be creative na lang. For example di ka sure kung ang opposite angles ba ng parallelogram e equal, idrowing mo. Try to vary your drawing without violating the definition of a parallelogram. Kung nakagawa ka ng drawing ng parallelogram na obviously hindi equal yung opposite angles, sabihin mo hindi equal. Pag wala kang mahanap sabihin mo naman equal. Ganito ginagawa ko dati pag nakakalimutan ko yung concept. Tawag dun e proving (proving wrong?) by counterexample.

tearl
Apr 3, 2007, 12:47 PM
paturo ka kay Ma'am Geronimo...

HSme_louvre
Apr 15, 2007, 03:43 AM
Guys I need help.
It's a problem about the Pythagorean theorem.
I swear I tried my best, but I am totally confused.

http://i161.photobucket.com/albums/t201/Hsme_louvre/geometryproblem1.jpg

So I need to find the measurement of line JM.

http://i161.photobucket.com/albums/t201/Hsme_louvre/solution1.jpg

The problem is really that most of the corollaries are not helpful.
They need the measurement of the larger side to work. (JK)

HSme_louvre
Apr 15, 2007, 04:05 AM
http://i161.photobucket.com/albums/t201/Hsme_louvre/solution2-1.jpg

how about this?
Can anyone please finish this?

ubermensch
Apr 15, 2007, 07:17 AM
Guys I need help.
It's a problem about the Pythagorean theorem.
I swear I tried my best, but I am totally confused.

http://i161.photobucket.com/albums/t201/Hsme_louvre/geometryproblem1.jpg

So I need to find the measurement of line JM.

http://i161.photobucket.com/albums/t201/Hsme_louvre/solution1.jpg

The problem is really that most of the corollaries are not helpful.
They need the measurement of the larger side to work. (JK)

hey there,
I believe most pexers are against helping those people asking questions without even having tried it themselves. Anyway, you've shown that you've tried this problem already, so here's one solution:

Ok, so we need the length of segment JM.
The corollary you mentioned can be used here. According to this corollary, LM is the geometric mean of JM and KM, i.e.
JM/LM = LM/KM.
We know KM=6. We're looking for JM. Ayos na sana kung alam natin ang length ng LM. While the length of LM is not really given, we could solve for it since KML is a right triangle (i.e. use the Pythagorean theorem on KML).


Nung next post mo, try squaring both sides of the equation. *okay*

Katchatore
Apr 15, 2007, 07:40 AM
http://i161.photobucket.com/albums/t201/Hsme_louvre/solution2-1.jpg

how about this?
Can anyone please finish this?

Dude, this is easy algebra. The problem is in your mind. You seem to be psyched out by geom. You're thinking agad na hindi mo kayang tapusin ito. How did you get to Geom without passing Algebra? BTW here's how.

Square both sides. That removes the square root. Wait. If you're finding the triangle height a, then it should be a=(c-b)^2. The height of your triangle is 3(2)^.5. Add that and 6^2, you will get the hypotenuse for the right-side right triangle.

Here are the answers that I got from your information:
Triangle height = 3 (2)^0.5
How to obtain: Rearrange the Pythagorean theorem. Isolate a or b, kahit ano. Anyway addition is commutative kahit may squares pa yan.

JM = 3
How to obtain: Substitute ko lang yung values sa corollary mo. That leaves JM as X. Solve for it by cross-multiplication. You will get it.

I gave you the values but please solve it. Find it for yourself. I won't be able to help you in the practice part anymore. It's up to you if you want to practice. Wala na ang will ko duon.

HSme_louvre
Apr 15, 2007, 07:43 AM
I don't think solving for LM will work.
Or maybe it will, LM is the altitude, and then the formula for getting the altitude will be h= square root of JK and MK.

But then again I could also solve it this way:

LK = square root of JK multiplied by JM

which gives me this equation:

http://i161.photobucket.com/albums/t201/Hsme_louvre/solution2-1.jpg

Now, my problem is that I forgot to do square root.
If only someone could explain it to me.

pbbluver
Apr 15, 2007, 07:52 AM
I think HSme_louvre is flimmmeryrose....

HSme_louvre
Apr 15, 2007, 08:03 AM
http://i161.photobucket.com/albums/t201/Hsme_louvre/solution3.jpg

pbbluver
Apr 15, 2007, 08:05 AM
tingnan niyo, hindi siya nagreact... meaning,, siya nga si flimmmeryrose, OMG!!!!!!!!!!!!

HSme_louvre
Apr 15, 2007, 08:10 AM
I just want to get my homework done.
So please don't post unnecessary remarks.

pbbluver
Apr 15, 2007, 08:28 AM
but you could have instantly denied it... anyway, i'll still love you as my dear sister, flimmmeryrose,....we are all created as brothers and sisters by the One who's above...

Dacs
Apr 15, 2007, 08:39 AM
I will not post solutions so you have to figure out how it's obtained

Where did you get the formula b = sqrt(c1 * c2)?
*sqrt() = square root

Here's my outline of solution:

(1) By Pythagorean Theorem: LM^2 = KL^2 - KM^2
You can solve for LM here
(2) Applying Pythagorean Theorem for both triangle JLM and JKL to get JL:
JL^2 = (JM + KM)^2 - KL^2 and
JL^2 = LM^2 + JM^2

You have two equations. Figure out the algebra and you'll be getting JM =3

And homework? Shouldn't you be having your vacation right now?

Dacs
Apr 15, 2007, 08:42 AM
This is really a good advice.

As much as possible, do not memorize formulas, rather know the principles how they're derived.

I can say over 80% of the formulas I know, I know how they're derived. So there is no need to memorize them verbatim.

After all, math is analysis, not memorization.

HSme_louvre
Apr 15, 2007, 09:19 AM
thanks guys!

I now understand how to do it!
Corollary 1 helps, and yes, I guess I need to find the altitude first.

http://i161.photobucket.com/albums/t201/Hsme_louvre/solution4.jpg

pbbluver
Apr 15, 2007, 01:09 PM
you also need to admit that you're flummmery......

ubermensch
Apr 16, 2007, 06:48 AM
http://i161.photobucket.com/albums/t201/Hsme_louvre/solution3.jpg


should be
b = sqrt(c * c2)

instead of
b = sqrt(c1 * c2)

So tama nga na c = 9. Pero since we're looking for c1, and c1+c2=c, then
c1 = c-c2 = 9-6 = 3.

rx_Tomasino
Apr 16, 2007, 08:14 AM
Memorize by heart your postulates and theorems.:love:

Katchatore
Apr 16, 2007, 08:33 AM
should be
b = sqrt(c * c2)

instead of
b = sqrt(c1 * c2)

So tama nga na c = 9. Pero since we're looking for c1, and c1+c2=c, then
c1 = c-c2 = 9-6 = 3.

Hehehehe pareho tayo ng nakuhang sagot, yun nga lang kinuha ko muna yung altitude nung triangle via Pythagorean Theorem tapos sinubstitute ko dun sa corollary.

prince nico
Apr 16, 2007, 08:56 AM
HSme Louvre, with CHIZ ESCUDERO's proposals to scrap Geometry in our curriculum, your misery seems to be ending soon....:D

pirateking
Apr 16, 2007, 09:27 AM
poor nga ang pinoys sa math and science bakit kaya tatangalin pa

prince nico
Apr 16, 2007, 09:33 AM
poor din kasi si chiz sa math at logic kaya gusto nya tanggalin ang geom....at palitan nalang ng home economics subjects....