How do we find the area of a regular polygon?

*We find the are of a regular polygon by the formula 1/2nas or 1/2 P.A , where A is the area and P is the perimeter , a is the apothegm , s is the length  of each side, and n is the number of sides. In other words the Area=nas/2 

for example
 - the number of sides are 5
-the apothegm is 2 cm
- and the the length is 8 cm

 so in this case we multiply 5*8*2 =  8 and the we divided it by 2
which give us 40cm² 

How do we find the area of a circle?

*We find the area of a circle by the formula A is the area and R  is the radius of the circle.
In other words . r<sup>2




for example</sup> 
  lets say that r= 8cm 

-in that case since we trying to find the area of the circle we going to use the formula of  a circle which is . r^{2
-we going to substitute r for 8 
-which our formula now is} . 8^{2
-now it equals 64}.

 

How do we find the area of parallelogram,kites and trapezoid ?

*We  find the area of a parallelogram by multiplying the bh. We also find the area of a kite by D1,D2 divided by 2. Lastly, we find the area of a trapezoid by adding both bases and then dividing it by 2. This is how we find the area of a parallelogram , kites and a trapezoid.

How do we calculate the area of rectangles & triangles?

* We calculate the area of a rectangles by multiplying length times width.
* Triangle area conjecture means that the area of a triangle is given by the formula, A=1/2bh. Where A is the area, b is the length of the base and h is the height of the triangle.

how do we find the locus of points?

*The locus is the set of all points that satisfy a given condition.
- A locus is a general graph of a given equation.

- one point:the locus of points equidistant from a single point is a set of points equidistant from the point in every direction.
-two points: (a line through the middle of the two points). the locus  of points equidistant from 2 points is the perpendicular bisector of the line segment connecting the two points
- one line: (two parallel lines on opposite sides , equidistant and parallel to that line.
-Two parallel lines: (a line through the middle of the two line). The locus of points equidistant from 2 parallel line  is another line, half way between both line and parallel to each of them . 

what is a mathematical statement ?

*A mathematical statement is a statement that can be judge to be true or false. In the logic unit we are not just going to look at one statement at a time. We are going to be looking at what happens with multiple statements.

How do we solve logic problems using conditionals ?

 *We can solve conditionals problems by Conditional, Inverse,Converse, Contraoppositive.

 *conditional: you first put the hypothesis and then the conclusion . You also use  "if" at the beginning and
"then" at the end
*Inverse: it whens you switch the you add not to both conclusion and hypothesis
*converse: is just switching the hypothesis and the conclusion
*Contraoppositive.
contra-is a prefix meaning "against" or "opposite"
-so you just negate & switch the hypothesis and the conclusion (inverse and converse) together. 

what is logic?

*Logic is thinking, It is also the tool to determine between true or false .

For example
*3+2= 5      , in this case it is true because 3+2 will equal 5