Tuesday, March 27, 2012

how do we calculate the area of rectangles and triangles ?

to find the area of a rectangle is simple just do base x height .

to find the area of a triangle we would need to do the formula -
A=1/2 bh

How do we find the area of parallelograms , kites , and trapezoids?

Trapezoid -a quadrilateral with a pair of parallel sides .

* but to find the area you simply do -


kite- a 2 pair of consecutive congruent sides
* but to find the area you simply do -



parallelogram - a parallelogram is a foh/ur sided figure with all sides parallel
*but to find the area you can simply do -

 (base x height)
                                                   

how do we find the area of a circle ?

how do we find the area of a regular polygon?



a = apothem
s= side
n= number of sides

formula = N (as/2)

Sunday, March 11, 2012

how do we solve the locus of problems ?

loci - a loci is a path that satisfy a certain condition . below are listed fundamental loci theorems :

loci rule number 1 : the locus of points at a fixed distance  is a circle

loci rule number 2 : the locus of points at a fixed distance is a pair of parallel lines on either sides ,  .

loci rule number 3 : the locus of points equidistant from two points ; bisectors of the line segment determined by  two points

loci rule number 4 : the loci of points equidistant from two parallel  lines and there is a parallel line midway between them .

loci rule number 5 : the loci of points equidistant from two intersecting lines , and there are a pair of angle bisectors that bisect the angles

Sunday, March 4, 2012

what is logic ?

Throughout this week we learned about logic :
       as normal thinking people we use logic on a daily bases .

but you still may be asking yourself what logic is well if you must know logic is "the system or  principle of reasoning  applicable  to any branch of knowledge or study ".

An example of logic would be crossing the street , that moment of should i cross the street now or later could be considered logic .

Friday, March 2, 2012

What is a Mathematical Statement ?

 * A statement that can be judged to be true or false , open sentences . mathematical statements where there is a "variable ".

  Negations - "not "
Always have the opposite truth value add a "not "

In the logic not , we are not going to look at one statement at a time . we are looking at multiple like :

" the president of the united states is Barack Obama and the vice president is joe biden

and ---> both statements must be true for the statement to be true

i am going to have pizza or tacos for dinner.

Conditional -
          conditional is the most frequently used statement in the construction or in the argument of mathematics .

the conditional -
   If it is raning , then it is cloudy

the converse -
   if it is cloudy , then it is raining

the inverse -
       if its not raining , then it is not cloudy

the contrapositive  -
    if its not cloudy then its not raining