how do we find the area of a circle?

The area of a circle is the number of square units inside that circle. 

where a is the area and r is the radius of the circle.

Example 1:	The radius of a circle is 3 inches.
Solution:
	= 3.14 · (3 in) · (3 in)
	= 3.14 · (9 in2)
	= 28.26 in2

how do we identify soilds?

Solids have special things about them that is identified
they must have :
surface area
volume.

but there are two types of solids:
polyhedra
non-polyhedra

Polyhedra as in saying they must have flat surfaces like these:

Non Polyhedra solids are like these:

how do we calculate the area of a rectangle and a triangle?

To find the area of a triangle, multiply the base by the height, and then multiply by 1/2
     lets say the height is 8 and the base is 6.
1.6x8= 48  
2. 48 x 1/2 = 24.
and thats your area of a triangle.


To find the area of a rectangle , just multiply the width and the height.
for example  w= 15 and h=10  .  15 x 10= 150  and thats the area of a rectangle.

How do we slove composition of transformation problems?

 When you do a composition transformation you can do translation and reflection or any of the others types of transformations. For example,you do a reflection over the y-axis, then you just do translate the image (6,-4). Another example is first you take the original image then rotate 180 dergrees and dilate the new image by 2.

How do we review translations?

we can review translations by either looking back at our notes about translations or do our own examples to know that we do understand how to do it.

What is logic?

logic is to find whether a statement  is true or false
 for example;
If A is B, then C is D  <--- contrapositive
If C is not B then A is not B ^
If C is D, then A is B <----- converse
If A is not B , then C is not D <-- obverse

What is a mathematical statement?

A mathematical statement can be considered either true or false statement.
a single letter will denote a statement for example the  letter 'p'  can be used to stand for the statement   'ABC' is an equilateral triangle

How Do We Graph Rotations?

Rotation a transformation that turns on object around fixed point.
Example ;

90 degrees
(x,y) -> (-y,x)
180 degrees
(x,y) -> (-x,-y)
270 degrees
(x,y) -> (y,-x)

How do we solve problems using reflections?

you can reflect the y axis or either the x axis.
another way is by using diagonal lines.
but as a short cut you can just swap the y and x axis.

example : (x,-y) -> (-y,x)
(-x,y) -> (y,-x)