paul theorems

Erika's Theorems..

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.

Alternate Interior Angles

Anthony Corresponding Angles

Phil's angles

Alesia's Theorems

Emelie's theroms

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

Vertically Opposite Angles(VOA)


Vertically Opposite Angles(VOA)

Notes: Angles that are beside each other

Erikas Theorems

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

Kevins Theorems

VOA(Vertically Opposite Angles)
<1 =<4
<2 href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEha12F75Y0QSn-T4CEHwybHqSy2Hm_PGDV_P_4ebgOkZ18l_TjVcaXUN4MwKvfF-8a1JpjIuEAMh2kLnzBT9aG7WD8Pc6M1UqUz1-XupDHyOaHi7Dwz0AlfEz0_EMN4jJ9MzRg14Sx-XCKe/s1600-h/corresponding+angles.jpg">



Corresponding Angles

<1 = <6
<2 = <5

Bobby Theorems

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.