Geometry Unit 8

An orthographic projection is a form of three-dimensional projection that presents _____ views of an object in which the line of sight for each view is perpendicular to the plane of the figure.

6

Name the parts of a cone

Apex (vertex) Bases axis

one point vs two point perspective

In one-point perspective, all lines converge to a single point on the horizon. Two-point perspective addresses the drawing issues we face rendering our subject from the side, where horizontal lines converge to two points on the horizon

What are vertices, edges, and faces of a shape?

V- points E- Lines F- Area of faces

polyhedron

a solid figure with many sides, such as a pyramid

The _____ of a cone is a segment that extends from the apex of a cone to the plane of its base and is perpendicular to the plane of the base.

altitude

The altitude of a pyramid is a segment that extends from the _____ of a pyramid to the plane of its base and is perpendicular to the plane of the base.

apex

Cavalieri's principle states that if two geometric solids with the same height have the same cross-sectional _____ at every level, then they have the same volume.

area

The _____ of a cone is a segment that extends from the apex of a cone to the center of the base.

axis

The curved surface that connects the two _____ of a cylinder is called the lateral surface of a cylinder.

bases

The volume of a geometric solid is the number of nonoverlapping unit _____ of a given size that will fill the interior of a geometric solid.

cubes

The lateral surface of a cone is the _____ surface that connects the base of a cone to the apex of the cone.

curved

The segment of a geometric solid that is formed by the intersection of two faces of the three-dimensional figure is called a(n) _____.

edge

The slant height of a cone is the distance from the apex of a right cone to a point on the _____ of the base.

edge

The axis of a cylinder is a segment that extends from one base of a cylinder to the other base and whose _____ are the centers of the two bases.

endpoints

A base of a geometric solid is a _____ of a three-dimensional figure by which the figure is measured or classified.

face

A pyramid has at least _____ vertices.

four

A(n) _____ circle is a circle formed by the intersection of the surface of a sphere with a plane that passes through the center of the sphere.

great

A(n) _____ projection is a form of three-dimensional projection in which all three planes are drawn parallel to established axes and at full scale.

isometric

The lateral faces of a regular pyramid are all congruent _____ triangles.

isosceles

The _____ area is the sum of the areas of all of the lateral surfaces of a geometric solid.

lateral

The vertex opposite the base where all the _____ faces meet in a pyramid is called the apex.

lateral

The distance from the apex to the _____ of an edge where a lateral face meets the base is called the slant height of a pyramid.

midpoint

A two-dimensional diagram of the surfaces of a three-dimensional figure that can be folded to form a geometrical solid is called a _____.

net

A perspective drawing is a form of three-dimensional projection in which all _____ parallel lines appear to meet at a distant point, called the vanishing point.

non vertical

A(n) _____ cylinder is a cylinder in which its axis is not perpendicular to its bases.

oblique

A projected point is a point that lies on _____ of the three planes of a three-dimensional coordinate system and corresponds to two of the numbers in an ordered triple.

one

A right cylinder is a cylinder in which its axis is _____ to its bases.

perpendicular

Linear _____ is a visual phenomenon in which the apparent size of objects with respect to their distance from the viewer are determined by means of intersecting lines that radiate from a point on the horizon.

perspective

The cross section of a geometric solid is the intersection of a geometric solid with a(n) _____.

plane

A lateral face is any face of a _____ that is not a base.

prism

The _____ of a sphere is a segment that connects the center of the sphere with any point on the surface of the sphere.

radius

The _____ area is the total area of all the faces and curved surfaces of a geometric solid.

surface

A geometric solid is a _____-dimensional figure that encloses a region of space.

three

An ordered _____ is a set of numbers that indicates the position of a point in space on a three-dimensional coordinate system.

triple

A _____ point is a point on the horizon where nonvertical parallel lines appear to meet in a perspective drawing.

vanishing

The apex is the _____ of a cone.

vertex