Geometry unit 8
oblique
A cone in which the axis of the cone is not perpendicular to the base is called a(n) ___ cone.
centroid
For all other triangles, the orthocenter, circumcenter and ___ are collinear.
lateral surface
The curved surface that connects the two bases of a cylinder is called the ___ of a cylinder.
isosceles
The lateral faces of a regular pyramid are all congruent ___ triangles.
great circle
A ___ is a circle formed by the intersection of the surface of a sphere with a plane that passes through the center of the sphere.
right cylinder
A ___ is a cylinder in which its axis is perpendicular to its bases.
shape
A pyramid can be named according to the ___ of its base.
4
A pyramid has at least ___ vertices.
right
A pyramid in which the altitude of the pyramid extends from the apex to the center of the base is called a(n) ___ pyramid.
irregular
A pyramid whose base is not a regular polygon is a(n) ___ pyramid.
19
Euler earned his Doctor's degree in mathematics and physics at age ___.
hemisphere
Half of a sphere is called a ___.
circle
If a plane intersects a sphere at a point other than a point of tangency, it forms a(n) ___.
the same point
In an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are ___.
collinear
In an isosceles triangle, the incenter, orthocenter, circumcenter, and centroid are ___.
lateral area
The ___ is the sum of the areas of all of the lateral surfaces of a geometric solid.
apex
The ___ is the vertex of a cone.
axis
The ___ of a cone is a segment that extends from the apex of a cone to the center of the base.
altitude
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.
lateral surface
The ___ of a cone is the curved surface that connects the base of a cone to the apex of the cone.
slant height
The ___ of a cone is the distance from the apex of a right cone to a point on the edge of the base.
axis
The ___ of a cylinder is a segment that extends from one base of a cylinder to the other base and whose endpoints are the centers of the two bases.
apex
The vertex opposite the base where all the lateral faces meet in a pyramid is called the ___.
cone
A _____ is a geometric solid formed by a circular base and a curved surface that connects the base to a vertex.
pyramid
A _____ is a geometric solid formed by a polygonal base and triangular lateral faces that meet at a common vertex.
cylinder
A _____ is a geometric solid formed by two congruent, circular bases and a curved surface that connects the bases.
prism
A _____ is a geometric solid formed by two parallel, congruent bases connected by faces that are parallelograms.
polyhedron
A _____ is a geometric solid in which four or more polygons intersect only at their edges.
non-polyhedron
A _____ is a geometric solid that contains at least one curved surface.
right prism
A _____ is a prism in which each lateral face is a rectangle.
cube
A _____ is a rectangular prism with six square faces.
geometric solid
A _____ is a three-dimensional figure that encloses a region of space.
net
A _____ is a two-dimensional diagram of the surfaces of a three-dimensional figure that can be folded to form a geometric solid.
sphere
A _____ is the locus of points in space that are a fixed distance from a point called the center of the sphere.
base
A _____ of a geometric solid is a face of a three-dimensional figure by which the figure is measured or classified.
vertex
A _____ of a geometric solid is the point that is the intersection of three or more faces of a three dimensional figure.
right cone
A cone in which the axis of the cone is perpendicular to the base is called a(n) ___.
geometric solid
A face of a _____ is each flat surface of a three-dimensional figure
base
A sphere is different from other geometric solids in that it has no ___.
projected point
A(n) ___ is a point that lies on one of the three planes of a three-dimensional coordinate system and corresponds to two of the numbers in an ordered triple.
oblique
A(n) ___ pyramid is a pyramid in which the altitude of the pyramid extends from the apex to the plane of the base not at the center of the base.
regular
A(n) ___ pyramid is a right pyramid whose base is a regular polygon.
lateral face
A(n) _____ is any face of a prism that is not a base.
oblique
A(n) _____ prism is a prism in which at least one of the lateral faces is not a rectangle.
perspective drawing
A(n) ______ is a form of three-dimensional projection in which all nonvertical parallel lines appear to meet at a distant point, called the vanishing point.
orthographic projection
A(n) ______ is a form of three-dimensional projection that presents six views of an object in which the line of sight for each view is perpendicular to the plane of the figure.
vanishing point
A(n) ______ is a point on the horizon where nonvertical parallel lines appear to meet in a perspective drawing.
isometric projection
A(n) _______ is a form of three-dimensional projection in which all three planes are drawn parallel to established axes and at full scale.
oblique cylinder
An ___ is a cylinder in which its axis is not perpendicular to its bases.
ordered triple
An ___ is a set of numbers that indicates the position of a point in space on a three-dimensional coordinate system.
17
Leonhard Euler received his Master's degree at the age of ___.
ball
Mathematicians sometimes describe the inside space of a sphere as a ___.
altitude
The ___ of a pyramid is a segment that extends from the apex of a pyramid to the plane of its base and is perpendicular to the plane of the base.
radius
The ___ of a sphere is a segment that connects the center of the sphere with any point on the surface of the sphere.
edge
The _____ of a geometric solid is the segment that is formed by the intersection of two faces of a three-dimensional figure.
horizon
The ______ is a horizontal line on a perspective drawing that contains the vanishing point or points.
slant height
The distance from the apex to the midpoint of an edge where a lateral face meets the base is called the ___ of a pyramid.
Isometric dot paper
______ is a sheet of paper with rows of dots that are arranged so they are oriented 30º from the horizontal.
Three-dimensional projection
______ is a two-dimensional representation of a three-dimensional figure drawn on a given plane as it would be seen from a particular direction or according to a particular set of rules.
Linear perspective
______ 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.