What are the special angel we can create with parallel lines ?

What are the special angel we can create with parallel lines ?
Parallel Lines Are lines that never intersect and have the same slope.

 With these lines we can make angle out of them like: Transversal, Corresponding Angel, Alternate Exterior Angle ,Alternative Interior Angel

  
Transversal - A line that intersects two or more other coplanar line

Corresponding Angel - Angel that are in the same position relative to the transversal and line

 Alternate Exterior Angle - If two parallel like are cut by a transversal  then alternate interior angles are equal

  
Alternate interior angels - If two parallel like are cut by a transversal then alternate exterior angles are equal

    
For more help check out the links below  

• https://www.youtube.com/watch?v=Vvrac2aG6Y4&feature=related
• http://www.sparknotes.com/math/geometry1/constructions/section3.rhtml

How do we use the special segments in triangles?

Special Segment In Triangles have three main uses Median, Altitude & Angle Bisector 

• MEDIAN
  - The vertex often angle to the midpoint of the opposite side.
     EX ://  Line1 will go from point C to the middle of A&B (D)
  
• ALTITUDE
   - The height of a triangle meets the "ground" at a right angle.
• ANGLE BISECTOR
  - Bisects on angle in half creating two congruent angles.
    EX :// Line 1 goes from point A1 to T1  both sides are congruent to each other

For more help check these links 

• http://oxfordhsmath.weebly.com/uploads/8/6/0/3/8603550/lesson_11.pdf
• http://www.cliffsnotes.com/study_guide/Proportional-Parts-of-Triangles.topicArticleId-18851,articleId-18813.html 
• http://www.nelson.com/school/elementary/mathK8/quebec/0176237879/documents/NM8SB_10A.pdf 
• http://www.youtube.com/watch?v=imKupbXQ18I 
• http://www.youtube.com/watch?v=Uruz_XurwiQ&feature=fvwrel  

how do we put all of our quadratic knowledge together?

Now that we know so much about quadratics its time to see what we have learned *if you forgot some of the it don't worry i will post links to my quadratic posted at the bottom each link has more links in them for more help and reviews *
if you remember the formula then this will be easy. if we have x^2+3x-4we want to know what is the Vertex X and Y  intercept and Roots
we first will use the formula  *remember ax^2+bx+c* 
x = -3± √(3^2-4(1)(-4))/2(2)
x=-3± √(9+16)/4
x=-3± √25/4
x=-3± 5/4
we are left with X=-4,1
Vertex:(-2,-6)
X intercept:(-4,0)(1,0)
Y intercept:(0,4)
Roots:(-4,0)(1,0)

• http://jesuslikesmath.blogspot.com/2012/03/how-do-we-use-quadratic-formula.html
• http://jesuslikesmath.blogspot.com/2012/03/how-do-we-slove-quadratic-equations.html

how do we review inequalities

inequalities is pretty basic.Having an inequality problem like 2x+10<14 is the same as 2x+10 = 14.
We want to get x by it self so we substrate 10 from both sides.
We get 2x < 24 now, we divide 2 from both sides we get x <12 on a number line the twelve will have a open circle and the line will go to the left side.
Now lets try a harder one for example 2x+3y<15
First we try to get y by it self so we substrate 2x from both sides we are left with 3y<-2x+15
Now divide by 3 to get y<2/3x+5

x < n when the sign is like this you have open circle and we shade to the left.
x < n when the line is under the less then sign then the circle is closed with  the shade going to the left.
x > n when the sign  is like this one the circle is open with the shaded line going to the right.
x > n and finally when the greater sign has the line under the circle is shaded and the shaded line goes to the right.

now that you guys have a understanding check out the link below for more problem:

• http://teachers.henrico.k12.va.us/math/hcpsalgebra1/Documents/4-4/solvcompinequ.htm

and for more help check out the two other links:

• http://www.platinumgmat.com/gmat_study_guide/inequalities_absolute_value 
• http://www.youtube.com/watch?v=a0-q0FUZ11o&feature=related