Math 416-04

paul theorems

2007-11-19T11:05:00.000-08:00

Erika's Theorems..

2007-11-12T18:10:00.000-08:00

Sum of < of triangles
-Sum of interior angles add up to 180.

Complementary: -Add up to 90.

30, 60, 90 triangle
-The opposite side of 30 is half of the hypotenuse.
mAB= mAC
2

Alternate Exterior Angles:
-Congruent
<1 is congruent <4
<2 is congruent <3

Alternate Interior Angles:
-Congruent
<3 is congruent <6
<4 is congruent <5

Co-Interior Angles:
-Supplementary
<1 + <6= 180
<4 + <7 = 180

Corresponding Angles:
-Have the same Angles

Vertically Opposite Angles:
-Angles opposite from each other are corresponding.
<1 and <3
<4 and <2

Andrew's Theroms.

2007-11-11T15:18:00.001-08:00

2007-11-08T06:50:00.000-08:00

Alternate Interior Angles

Anthony Corresponding Angles

2007-11-08T06:49:00.001-08:00

2007-11-08T06:42:00.000-08:00

Phil's angles

2007-11-08T06:37:00.000-08:00

Alesia's Theorems

2007-11-08T06:09:00.000-08:00

Emelie's theroms

2007-11-07T16:44:00.000-08:00

Vertically Opposite Angles (VOA)

Vertically oppsite angles are congruent.
meaning:
<1 is congruent to <2
and
<3>

Corresponding Angles (Corresp. <)

Corresp. < is two angles that are at different vertices. They are located on either side of the transversal, one is on the inside and the other is on the outside.
<1 and <5 are corresponding and congruent
<2 and <6 are corresponding and congruent
<3 and <7 are corresponding and congruent
<4 and <8 are corresponding and congruent

Anthony Audit

2007-11-06T11:00:00.000-08:00

Vertically Opposite Angles(VOA)

Vertically Opposite Angles(VOA)

Notes: Angles that are beside each other

Erikas Theorems

2007-11-05T07:02:00.002-08:00

Vertically Opposite Angles.
<1 voa <3
<2 voa <4

Kevins Theorems

2007-11-05T07:02:00.001-08:00

VOA(Vertically Opposite Angles)
<1 =<4
<2 href="http://1.bp.blogspot.com/_skzmaXn7Qxs/Ry80JCir0hI/AAAAAAAAAAc/P-yOTIj7K-E/s1600-h/corresponding+angles.jpg">

Corresponding Angles

<1 = <6
<2 = <5

Bobby Theorems

2007-11-05T06:54:00.001-08:00

shaynes theorem theory

2007-11-01T12:12:00.000-07:00

VOA are congruent...< 1 = < 3

JOnyca's TheOrem DiAgrams

2007-11-01T12:10:00.000-07:00

First Blog Assignment-Get Creative

2007-11-01T12:08:00.008-07:00

Welcome to the 416 blog! Now that you have all created gmail account and have been formally invited to be an author on your class blog we can get going.

So far we have learned 5 theorems relating to congruent angles. You will need to know these well and have them at your disposal to proven others concepts in geometry.

Your first assignment is to correctly state each theorem and follow it with a diagram which demonstrates the concept.

You have many tools at your disposal and one of the most useful is Grab which you learned last class. If you have forgotten how to use it, click on the link on the right side to see instructions.

For drawing you may use whatever you like. I am going to show you the smartboard notebook today....which I think you'll have some fun with.

Oh....a reminder....this blog is public which means the whole world can see.....so WOW them.

Here is an example of the first theorem......you can jazz yours up a bit. I used word for this one.
Theorem:Vertically Opposite Angles are congruent. (VOA)

<1 and <4 are ongruent
<3 and <2 are congruent

The theorems you need to show a diagram for are:
Vertically Opposite Angles
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Co-Interior Angles
Complementary Angles
Supplementary Angles
Sum of Angles on a triangle=180 degrees
In a 30, 60 90 degree triangle, the side opposite the 30 degree angle is 1/2 the hypotenuse.

Have fun!

Samantha's theorem diagrams

2007-11-01T12:08:00.004-07:00

<1 & <2 are Complimentary, they add up to 90 degrees

<1 & <2 are Supplementary
they add up to 180 degrees

Ruth's Theorms diagrams

2007-11-01T12:08:00.002-07:00

VOA are congruent.
<4=<2

Corresponding angles
<1=<5 2="<6">
<4=<8 3="<7">

Alternate Interior Angles
<3=<6
<4=<5>

Alternate Exterior Angles
<1=<2 <7=<8

Co-interior Angles
<1=<6 <4=<7>
The sum of interior angles is 180 degrees.

In a 30, 60, 90 degree triangle, the side opposite the 30 degree angle in half the Hypotenuse.

nothing

2007-11-01T12:08:00.001-07:00

hey this is cool...

Using Grab

2007-10-04T15:53:00.000-07:00

USING GRAB

You can use Grab to taking “picture” of any screen or part of a screen. You can then change it to a jpeg file and upload it as an image to your post . Here is how.

Finder….MacIntosh HD……Applications….Utilities…..Grab

(Drag Grab to your toolbar for easy access later)

Once you are in “Grab”, choose “Capture” on the toolbar and then “Selection”. You can drag the rectangle over the part that you want to “grab” and when you let the cursor go it will “take a picture”. It is now saved as a .tiff file

Save in a place that you will remember. I suggest a "blog" file.

In order to post this image you need to change it to .jpeg

CHANGING TO A .jpeg.

Open the file which you just saved.

Under the file menu click “save as’ then choose jpeg.

You will now be able to upload it as a picture.....like this. (My file is called Equation #2)

Using Smartboard Notebook

2007-08-12T18:29:00.000-07:00

You have a very useful program installed on your computers which can be used to draw diagrams etc. It is supposed to be used with an electronic chalk board (called a Smartboard) but you can use it to draw diagrams and pictures to help explain things. There is one in the school somewhere so I'll try and hunt it down.

So...the program is called Smartboard Notebook...and this is where you will find it.

Below is an example of the fun you can have with the smartboard tool. To post it follow these steps.
1. Open the Smartboard notebook file and create your diagram.
2. On the toolbar choose "File" then "Export" then "Image Files"
3. Chose "desktop" (or choose another file to save it and choose "JPEG" as the format.
4. Upload the JPEG file.