Thursday, February 22, 2007

Post your answers to yesterday's HW problems. That means there should be a posting from each and every one of you guys!

For example, if i was my own student in my class:

Triangle ABC's:
orthocenter (x, y)
Euler Line: y = mx + b

Triangle DEF's:
centroid (x, y)
circumcenter (x, y)
orthocenter (x, y)
Euler Line: y = mx + b

#5.3
  • post your conclusion to I.5.3.2
  • copy down the bold faced definitions on pg. 238
  • perform I.5.3.3
  • post your conclusion to I.5.3.3
  • (1-18) all

Wednesday, February 21, 2007

Given triangle ABC with A(5, -6), B(4, 0), and C(3, -4), find the coordinates of the centroid, circumcenter, and orthocenter. Then, find the equation of the Euler Line.

Repeat the process for triangle DEF with D(7, 3) E(-5, -6) and F(-11, -8).

Tuesday, February 20, 2007

#4.6
  • finish whatever you haven't finished

#5.1

  • (1-8) all

#5.2

  • (1-14) all
  • (19-22) all

Friday, February 16, 2007

#4.6 again
  • Now that you know how to do the problems, I am reassigning this section for HW this weekend. Make sure you get it done as you will have a quiz on this stuff on Tuesday! You might want to form a study group sometime over this long weekend. Go to Barnes and Noble, have a cafe mocha, order a piece of lemon cake, and have fun doing Geometry!

Construction Test

  • Please write the following statement on the bottom of the backside:
  • "I, _________, do hereby swear that ALL the constructions on this test were performed by me and me alone. If Ms. Chan finds this to be untrue, the consequences of this shall be a zero."
  • you and a parent/guardian MUST sign this statement before I will accept your test.

Have a wonderful long weekend!

Thursday, February 15, 2007

Congratulations, Geometry Honors!
I am soooooooooo PROUD of you guys for finally using the blog for which it was intended to be used! You have officially raised yourselves into the "Honors" category. No longer are you guys "wannabe Honors students". You are communicating with each other, sharing answers, and asking questions. i cannot tell you how extremely HAPPY that makes me. Keep it up!

#4.6 Intersection of Lines

  • finish I 4.6
  • If triangle TRY has coordinates T(a, d), R(b, e), and Y(c, f), then the centroid has coordinates ---?---
  • (1-11) all
  • (13-14)

have a question?

post a comment.

Wednesday, February 14, 2007

#4.4

  • (2-14) even
  • (15-16) all

#4.5

  • (1-32) all

HAPPY VALENTINE'S DAY!!!!

Tuesday, February 13, 2007

#4.2
  • (1-9, 12) all
  • (13-19) all

#4.3

  • (1-30) all
  • (35-37) all

#4.4

  • I.4.4.3 or I.4.4.4
  • just as long as you know what the special relationship between the slopes of perpendicular lines is

you MUST post an answer tonight.

make sure you label your answer. for example,

#4.3, #8 is ....

Monday, February 12, 2007

I 3.8.3
  • Euler segment conjecture
  • Euler line construction again if you didn't get it from this weekend

#4.1

  • (1-18) all

don't forget to post your answer to conjecture 14 on here!

Chen Ying will be offering free tutoring sessions in the library tomorrow morning at 7:05. You will have to locate him. If you don't know what he looks like, find Dana or maybe Stefan. Dana met Chen today and knows what he looks like. Stefan plays tennis with him. Hint-hint: he's Chinese.

Friday, February 09, 2007

Euler Line
  1. On a piece of paper, draw a medium/large NONSPECIAL triangle.
  2. Construct the incenter. Label it I. Highlight it.
  3. Now, construct the circumcenter (yes, in the SAME triangle). Label it C. Highlight it.
  4. Construct the orthocenter. Label it O. Highlight it.
  5. Construct the centroid. Label it D. Highlight it.
  6. 3 out of the 4 centers will be COLLINEAR. The question is which 3 are they? The 3 collinear centers form the Euler Line.
  7. You might have to do this construction a few times before you can clearly see the Euler Line. Don't be discouraged if you don't get it the first time. The bigger the triangle, the easier it will be to see which 3 centers are collinear. However, you don't want it to be so big that you have no room to swing your arcs either. Medium/large triangle is best.

Have a PG-13 weekend!

Form a study group!

Thursday, February 08, 2007

PRACTICE! PRACTICE!!! PRACTICE!!!!
  • Redo any and all constructions that you think you need to practice.
  • I am holding responsible for KNOWING everything as of today. No more pity parties. Take control of your education NOW!
  • call your peeps up if you have to and schedule a study group for tomorrow morning in the library.


#3.8
  • (1-6) all
  • (9-11) all

Wednesday, February 07, 2007

#3.7
  • perform I 3.7.1 again (this means that there should be 6 DIFFERENT triangles for this investigation! 2 for conjecture 6, 2 for conjecture 7, and 2 for conjecture 8
  • perform I 3.7.2 again (this means that there should be 4 DIFFERENT triangles for this investigation! 2 for conjecture 9 and 2 for conjecture 10)

#3.8

  • I 3.8.1 but do it on cardboard paper or cardstock. Then cut out the triangle and poke a TINY hole through the centroid. Pull a piece of string through the centroid. Tie a small knot at the end of the piece of string. Pull the string until the knot is against your triangle. What do you observe?
  • I 3.8.2

#3.6

  • make sure you get these problems done if you have not completed them yet. If you don't know how to do one, you better ask on the blog for some help.

Friday, February 02, 2007

#3.5
  • (8-15) all

#3.6

  • (1-14) all
  • 16

got a question?

post it here.

have a PG-13 weekend!

Thursday, February 01, 2007

#3.3
  • (1-6) all

#3.4

  • I 3.4.1
  • I 3.4.3
  • (1-16) all

Got a question?

Post it here.

Hopefully, someone will help you.

P.S. check out the new links to the right------------>

P.P.S. if you want to e-mail me, look to the right------>