How do we do composition

to find that what is composition we first need to know the formula.
(f*g)(x)=f(g(x))
now that we know the formula it will be easy to answer the following question.

1.) given f(x) = 4x+6  and (g)x = (x^2+4)

• we will start by writing 4x+6 but replace the x with x^2+4 like so 4(x^2+4)+6 

• disstribute the 4 in the beginning within the parentheses.
  
• we will get 4x^2+16+6 , then 16+6=22
  
• the answer will be 4x^2+22

2.) now try on your own  given f(x) = 2x+9 and (g)x = (x^2+7)

How do we use the properties of trapezoids

Trapezoids : Exactly one pair of parallel side
Trapezoid Consecutive Angles Conjecture: the consecutive angle between the bases of a trapezoid
isosceles Trapezoid conjecture: The base angle of a isosceles trapezoid 

 for more help check out the links below

• http://www.youtube.com/watch?v=jKwY4OjfMS4
• http://www.cliffsnotes.com/study_guide/Properties-of-Trapezoids.topicArticleId-18851,articleId-18798.html
• http://www.coolmath.com/reference/trapezoids.html
• http://www.youtube.com/watch?v=fR_ctVqueo4

How do we use a polygon's exterior angles

to find the exterior of any angle we would have use the information given to use and if it is a regular shape.if the shape has all the interior angels then we know that all the exterior angles will be the same as well. then all we need to do is subtract 180 minus the interior angels to find the exterior angels.

 

 

 

 

we subtract 135 from 180 to give us 45

when we add up all the exterior angel we find that the sum is 360

for more help check out these websites

• http://www.mathsisfun.com/geometry/exterior-angles-polygons.html
• http://www.youtube.com/watch?v=MFhwb3UXNRI

How do we use the properties of parallelogram

Parallelogram: A quadrilateral with two pairs of Parallel sides

Properties:

1. The opposite angel are congruent.
   
2. Consecutive angels are supplementary.
   
3.  Opposite sides are congruent.
   
4. Diagonals bisect each other.
   

Its never true that the diagonal always congruent

Its never true that the diagonal s are always perpendicular 

Its never true that the diagonal always bisects the angel

For more help check out that links below 

• https://www.youtube.com/watch?v=CbPrwNi2m_4
• https://www.youtube.com/watch?v=ioTBllxJ91s
• http://www.mathwarehouse.com/geometry/quadrilaterals/parallelograms/
• http://www.mathopenref.com/coordparallelogram.html

What are the properties of Kites

Kites -Two pair of consecutive congruent sides
Properties

1. The Non-vertex angles are congruent
     
2. Diagonals are perpendicular
   
3. The vertex diagonal bisects the other diagonal
   
4. The vertex diagonal angle bisector of the vertex angle  

for more help check out these links

• http://www.youtube.com/watch?v=-d-8VaNDzhA
• http://www.math.washington.edu/~king/coursedir/m444a05/notes/03-kite-properties.html

How do we prove triangle congruent

To prove that triangles are congruent is every easy in many math problems we are always give one or two congruent angles or one or two congruent sides.

 Like the two on the top.

 with the marking that are given to use its easier to prove that they are congruent. 

we can use:

• SSS (Side Side Side)
• SAS (Side Angel Side)
• ASA (Angel Side Angel)
• AAS (Angel Angel Side)

Reason why SSS,SAS,ASA,AAS< and HL work 

Say we are given

we will need a T-Chart like this one

As you can see line AC≌EC and BC≌DC are both given <ACB≌<EDC is also given but we need to prove it by saying something that will prove it like they are Vertical Angels.Using Side Angel Side we figured out that the two triangles are congruent.

for more help or work check out these links:

• http://www.youtube.com/watch?v=NAhcmPS5k9g
• http://mathteachermambo.blogspot.com/2010/11/proving-triangles-congruent.html
• http://www.wyzant.com/Help/Math/Geometry/Triangles/Congruent_SSS_SAS.aspx
• http://www.youtube.com/watch?v=_O5qrryg4Ps

how do we use the exterior angle theorem?

To use the exterior angle theorem we have to understand what is an exterior angel is
 Exterior Angel -  triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.

The exterior angle theorem is that the exterior angle is the sum the two opposite angle.

for example say <b 60° and <a is 60° the sum of both those angles will equal <d making it 120° this means that <c is 60° (180°-120°= 60°)

for more help or other examples check out these links below:

• http://hotmath.com/hotmath_help/topics/exterior-angle-theorem.html
• http://www.regentsprep.org/Regents/math/geometry/GP5/LExtAng.htm
• http://www.youtube.com/watch?v=YS2K2SpvVIA
• http://classroom.westsidehsfaculty.org/webs/jschroe1/upload/worksheet_triangle_sum_and_exterior_angle.pdf
• http://www.kutasoftware.com/FreeWorksheets/GeoWorksheets/4-The%20Exterior%20Angle%20Theorem.pdf