shaynes theorem theory

VOA are congruent...< 1 = < 3

JOnyca's TheOrem DiAgrams

First Blog Assignment-Get Creative

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

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


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

Ruth's Theorms diagrams

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

hey this is cool...

Using Grab

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)