2lartra

=**Isometric Cubes**=



= = isometric Drawing-is a drawing where horizontal lines are represented by lines that forn 30° angles Orthographic projection-**is the view of a isometric drawing from all sided drawn in 2 dimentions
 * Objectives**
 * 1) Draw three dimentional shapes Useing isometric dot paper
 * 2) Understand Orthographic projection
 * 3) find a basic understanding of volume and surface area

part 2
Ovjectives- 1.Define Polyhedron 2.find the relationshipes among lines,points,angles,segments,and planes in a 3 dimentional space 3.difine a dihedral angle

Definitions- Polyhedron-a closed igure composed of polygons,or faces,the intersection of each face is called the edge

parallel planes-2 planes can be parallel if and only if they are facing the same directio but never meet

Dihedral angle-formed by 2 half-planeswith the same edge

_

Part 3-the wonderful world of prisms
Objectives- 1.define oblique prism,prism,and right prism 2.take a look at the shapes of lateral faces of prisms 3.use the diagional measure of a right prism to solve problems

Definitions- prism-a peolyhedron that has a polygonal region and its traslated immage on a parrallel plane

Oblique prism-a prism that has at least lateral face that is nonrectangular

Right Prism-a prism where all of the lateral faces are rectangles

Formula- Diagonal of a right rectangular prism- distance(d)=√(length(l)squaired X width(w)squaired X Highth(h)squaired)

___

Part 4-3D coodinates
= = Objectives- 1.Identify features of a 3D coodinate system including the octants ,the coodinate planes,and the axis 2.Solve the problems using the distance formula in three dimentions

Definition- Right handed system- a three d coorinate grid where instead of X and Y axis there is a third Z axis added to make it three dimentional Formula- Distance in three dimentions √[(X2-X1)²+(Y2-Y1)²+(Z2-Z1)²].

_____________________________________________________________________________________________________________

Part 6-Drawing perspectives
Objectives 1.Define and identify basic concepts of perspective drawing 2.Apply basic concepts and create your own perspective drawings

Deffinitions- Vanishing point- = =

= =