How Do We Find Surface Area and Lateral Area of Prisms?

A Prism is a 3-D shape that has two parallel faces, also known as bases, that are as well congruent polygons. Each of the faces of the prism is a rectangle (Right Prism) and in geometry they are known as Lateral Faces. The joining edges and faces are perpendicular to the base faces. 


Finding the Surface Area of a prism is very simple. All you do is add the area of the lateral faces with the areas of the bases. 


S.A.: 2LW+2LH+2HW
L.A.: ph


L: length
H: height
W: width
p: perimeter of the base
h: height 

How Do We Identify Solids?

In geometry there are a whole bunch of different shapes. There is a term called SOLID GEOMETRY. Solid Geometry is the geometry of 3-D shapes. There are two types of solids: Polyhedra and Non-Polyhedra 


 -Polyhedra: a 3-D solid figure in which each side has a flat surface. Those surfaces are polygons that are joined at their edges. A Polyhedron has NO CURVED SURFACES!!!! 
          • Called regular if the faces are Congruent 
          • Also if the Regular Polygons and the same number of faces meet at each vertex.
 Example: Pyramid, Prism. 


 -Non Polyhedra: a 3-D figure that has cures in their shape. 
 Example: Cylinder, Cone, Sphere.

How Do We Find the Area of Parallelograms, Kites, and Trapezoids?

AREA FOR:

• Parallelogram: Base * Height
• Trapezoid: (Base 1 + Base 2) * Height                                 

                                            2

• Kites: Diagnal 1 * Diagnal 2 / 2

What is Locus?

Locus Point: the setof all points that satisfy a given condition. A general graph of a given equation.

Two Fixed points; a line through the middle of the points. Perpendicular Bisector
One Line; two parallel lines on opposite sides of the original line
One Point; forms a circle
Two Intersecting Lines; two intersecting lines halfway between the two original lines

• The Locus of points equidistant from a single point is a set of points, equidistant from the point in every direction.
• The Locus of points equidistant from two points is the perpendicular bisector of the line segment connecting the two points.
• The Locus of points equidistant from a line are two lines, on opposite sides, equidistant and parallel to that line.
• The Locus of points equidistant from two parallel lines i another line, halfway between both lines, and parallel to each of them.

Loucs Rule:

1. 1 Point- Circle
2. 2 Points- 1 Line
3. 1 Line- 2 Lines
4. 2 Lines- 1 Line
5. 2 Intersecting- 2 other intersecting

How Do We Find Compound Loci?

Compound Locus: Problome involves two or more locus conditions occurring at the same time. the different conditions in a compound locus problem are generally seperated by the word "AND" or the words "AND ALSO".

What Is Logic?

LOGIC IS THINKING!!!!!!

Everyday, we use logic. Logic is used to determine if something is true or false.

Four Conditionals:

1. Conditional
2. Inverse
3. Converse
4. Contrapositive

How Do We Use the Other Definitions of Transformations?

Besides the common types of transformations, there are five more types of transformations.

• Glide Reflection: the cmbination of a reflection in a line and a translation along the line.
• Orientation: refers to the arrangement of points, relative to one another after a transformation has occurred.
• Isometry: a transformation of the plane that preserves length. (an opposite isometry change the order such as clockwise changes to counterclockwise).
• Invariant: a figure or property that remains unchanged under a transformation of the plane is refered to as invarients. No variations have occurred.
• Direct Isometry (with orientation is the same): has both isometry amd same orientation (rotations).