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=Solid Shapes= = =


 * __Things to know__:**
 * Know how to use isometric dot paper to be able to draw three-dimensional shapes made out of cubes.
 * Know what an orthographic projections is.
 * Understand how to find volume and surface area.

__**Vocabulary to better understand soild shapes**__:
 * **Isometric** **Drawing:** A Isometris drawing is when the horizontal lines of an object are represented by lines that form 30 degree angles with a horizontalin line in that picture.
 * **Orthographic Projection:**Orthographic Projection: A Orthographic Projection shows all the posible views of a soild object that are projected on to a picture plan along lines that are perpendicular to the pictured paln.

=Spatial Relationships=


 * __Things to know__:**
 * Know what a polyhedron is and be able to define it.
 * Know how to find the relationships between points, lines, segments, planes, and angles in a three dimentional space.
 * Know what a dihedral angle is and be able to define it.


 * __Vocabulary to better understand spatial relationships__:**
 * **Polyhedron:** A polyhedron is a closed spatial figure composed of many polygons called faces, the intersections of the all the faces are called the edges, and the point were all of the edges meete are called the vertices.
 * **Parallel palnes:** Two planes are parallel only if they do not intercct.
 * **A Line Perpendicular to a Plane:** only if it is parallel to every line the throuht that point.
 * **A line parallel to a plane:** only if it is parallel to a line in the plane.
 * **Dihedral Angle:** A dihedral angle is a shaped created by to half planes with a common edge. Each half of the plane is called the faceof te angle, and were the two planes make an angle is called edge.
 * **Measure of a Dihedral Angle:** is the measure of an agle formed by to rays that are on the faces and that are perpendicular to the edge.

=Prisms=


 * __Things to know__:**
 * Know what a prism, right prism, and a oblique prism is and be able to define them.
 * Look at the shapes of alteral faces of prisms.
 * Figure out many problems by using the diagonal measure of a right prism.


 * __Vocabulary to better understand prisms:__**
 * **Prism:** A prism is polyhedron that has polygonal regions, that are translated images on a parrel planes.e,with quadrilateral faces connecting corresponding edges.
 * **Base of a prism:** The base is the top and the bottom of the prism
 * **Lateral faces of a prism:** the laterael faces are the quadrilaterals of the prism, they are the sides of the prism or you could say the face between the top and the bottom.
 * **Lateral edges of the prism:** The lateral edges are the sides of were the faces meet.
 * **Right prism:** A right prism is a prism made out of rectangles.
 * **Oblique prism:** A oblique prism has at least one face that is not a rectangle.


 * __Formulas for prisms:__**

> > [|Ex:] =coordinates in three dimensions= = =
 * **How to find the diagonal of a right retangular prism formula:** distance = square root of( length squared + width squared + hight squared.)


 * __Things to know__**
 * Know how to identify the features of a three-dimentional coordinate system also, it's axes, octants, and it's coordinate planes.
 * Know how to figure out problemsby using the distance formula in three dimensions.


 * __Vocabulary to better understand coordinates in three dimensions__:**
 * **[|Right handed system:]** is just a graph with an x,y,z axes. x axes going frount and back, y axes going right and left, and the z axes going up and down
 * **Coordinate plane:** a coordinate plane is a grid that is formed by two or more coordinatized lines, also knowen as axes, that merge at a right angles at a point knowen as the origin.

=Perspective Drawing=
 * __Formulas for coordinates in three dimensions__:**
 * **How to find the distance between points X1,Y1,Z1 and X2,Y2,Z2:** [|D =]
 * **Midpiont formula in three dimentions: [|M=]**


 * __Things to know__:**
 * Know how identify and define basic conceptsof perspective drawings
 * Know how to apply these basic concepts to make your own perspective drawings.


 * __Vocabulary to better understand perspective drawings__:**


 * **Vanishing point:** is when two lines meet at a vanishing point
 * **Theorem sets of parrel lines:** is when all the lines in a perspective drawing are parallel but do not meet at the picture plane, they all meet at a vanishing point.
 * **Theorem lines parallel to the ground:** is a line in a plan on the ground in a picture but is not parallel to the picture plane the line will meet at the horizon of the drawing, any line parallel to this line will meet at the same point.

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