Circles- Inscribed Triangles

[looneyli]

someone please help!! we have a workbook page for homework (link will be posted) on the lesson we covered today, but I do'nt get it at all!! If you're in Virginia, it's the geometry textbook by Glencoe, chapter 10.4. we have to do online page 562, all even problems.

http://www.glencoe.com/sites/common_ass ... gc10rm.pdf

just click, and scroll to find pg 562 (it's like, the 32nd page, really)
the part i'm most stuck on is the first section.

please and thank you in advance!!

~Lee

 

[soroban]

Hello, Leel

You need basically one rule:
. . An inscribed angle is measure by one-half its intercepted arc.


Here's the first problem . . .

We are given: \(\displaystyle m(WX)\.=\,104^o,\:m(WZ)\,=\,88^o,\:m(\angle ZWY)\,=\,26^o\)

Since \(\displaystyle m(\angle ZWY)\,=\,26^o\), then: \(\displaystyle \,m(ZY)\,=\,52^o\)

Then: \(\displaystyle \.m(YX)\:=\:360^o\,=\,52^o\,-\,88^o\.-\.104^o\:=\:116^o\)

(1) Since \(\displaystyle m(WX)\,=\,104^o:\;m(\angle 1)\,=\,52^o\)

(2) Since \(\displaystyle m(ZY) \,=\,52^o:\;m(\angle 2)\,=\,26^o\)

(3) Since \(\displaystyle m(YX)\,=\,116^o,\:m(\angle 3)\,=\,58^o\)

(4) Since \(\displaystyle m(WZ)\,=\,88^o:\;m(\angle 4)\,=\,44^o\)

(5) Since \(\displaystyle m(ZY)\,=\,52^o:\;m(\angle 5)\,=\,26^o\)

(6) Since \(\displaystyle m(WX)\,=\,104^o:\;m(\angle 6)\,=\,52^o\)

 

[stapel]

Here's the first problem . . .

How is that "the first problem"? You gave the student the complete solutions for the whole first section.

Short-term, this can be nice: his homework is done, with no thought required. But one might wonder how helpful this will prove in the long term. Perhaps tutoring (helping the student learn so he can stand on his own) might have been slightly better for his own success.

Just my opinion, of course. I could be wrong....

Eliz.

 

[pka]

Perhaps tutoring (helping the student learn so he can stand on his own) might have been slightly better for his own success.
Just my opinion, of course. I could be wrong....

Just so I can be better informed and think better of some postings, please explain to me the difference between giving help and giving a complete solution. Maybe I spent too many years in higher education and in particular being a product of the Moore method in my own graduate training, but I cannot think of mathematics as a spectator activity.

 

[looneyli]

-_-;;; ummm....i'm a girl....but actually, this did help. nobody else knew how to do these, so i got to be the smart one and explain it to my friends. i'm glad i found someone who can help me on this, because it's a rather large part of the section quiz. thanks so very much!! ^_^

~Lee (who is a girl!!)

 

[Denis]

Giving a solution in full, answer and steps, is certainly fine IF it means
that's all the student needs to permanently understand; plus it takes
less time, with no back and forth posts.
Problem here is we can't tell (at 1st post) if we're doing someone's homework.
But we eventually can tell, after a few posts...

 

[Denis]

-_-;;; ummm....i'm a girl....but actually, this did help. nobody else knew how to do these, so i got to be the smart one and explain it to my friends. i'm glad i found someone who can help me on this, because it's a rather large part of the section quiz. thanks so very much!! ^_^
~Lee (who is a girl!!)

IF that's the case, say thanks to Soroban :wink:

 

[Mrspi]

Well...this is just my opinion. I'd have explained how to do ONE of the problems. (it's that old "give a man a fish and he eats for one day; teach him how to fish and he can eat for a lifetime" thing) Then, we could see what the student does or does not understand by looking at subsequent posts.


I don't believe it is beneficial (though it is certainly NICE for the student) if we give the answers for a whole assignment.

 

[stapel]

i'm glad i found someone who can help me on this, because it's a rather large part of the section quiz.

Ah. So, by "help", you mean "finish the quiz".

I hope Soroban gets a good grade.... :?

Eliz.

 

[looneyli]

i'm glad i found someone who can help me on this, because it's a rather large part of the section quiz.

Ah. So, by "help", you mean "finish the quiz".

I hope Soroban gets a good grade.... :?

Eliz.

No, that's not what I meant. The quiz hasn't been given yet, not until next week. By help, I meant thank you for showing me how to do this because now I know how to look at the circles to figure it out.