12.6 Describing Three Dimensional Shapes Flashcards
There are ________ many planes in three dimensional shapes.
There are infinitely many planes in three dimensional _______.
What is the union of polygonal regions in space that share an edge and is formed by two intersecting planes?
What is a dihedral angle?
What are the polygonal regions forming the dihedral angle called?
What are the faces of a dihedral angle?
What are lines in three dimensional space that do not intersect nor do they have to be parallel?
What are skew lines?
What is the union of polygonal regions any two of which have at most a side in common, such that a connected finite region in space is enclosed without holes?
What is a polyhedron?
If a polyhedron has every line segment joining two of its points is contained inside the polyhedron or is on one of the polygonal regions it is considered a ________ polyhedron.
What is a convex polyhedron?
What are the polygonal regions of a polyhedron called?
What are faces in regards to polyhedrons?
What are the line segments common to a pair of faces called?
What is an edge of a polyhedron?
What are the points of intersection of the edges in a polyhedron called?
What are vertices in a polyhedron?
What is a polyhedra with two opposite faces that are identical polygons called?
What are prisms?
What are the two opposite faces of a prism called?
What are the bases of a prism?
What type of faces are created by the vertices of the bases of a prism joining together?
What are lateral faces?
Which prism is creates when the lateral faces are rectangles?
What is a right prism?
Which prism is created when the lateral faces and bases do not create a 90 degree dihedral angle?
What is an oblique prism?
Since there are infinitely many types of polygons to use as the bases of a prism there are __________ many types of prisms.
Since there are infinitely many types of polygons to use as the bases of a prism there are infinitely many types of _______.
What are polyhedra formed y using a polygon for the base and a point not in the plane of the base, called the apex?
What are pyramids?
What is the point of a pyramid that is connected with line segments to each vertex of the base called?
What is an apex?
How are prisms and pyramids named?
Which 3 dimensional shapes are named by the polygonal shape of its base and the type or degree of their lateral faces?
What are regular pyramids whose lateral faces are isosceles triangles called?
What are right regular pyramids?
What are regular pyramids whose lateral faces are not isosceles triangles called?
What are oblique regular pyramids?
What type of polyhedron is one in which all faces are identical regular polygonal regions and all dihedral angles have the same measure called?
What is a regular polyhedron
What are regular convex polyhedra called?
What are Platonic Solids?
What are the five regular convex polyhedra; the five platonic solids?
- ) Tetrahedron
- )Hexahedron
- )Octahedron
- )Dodecahedron
- )Icosahedron
A Tetrahedron has how many faces, vertices and edges?
Which polyhedron has 3 triangular faces, 4 vertices and six edges?
A hexahedron has how many faces, vertices and edges?
Which polyhedron has 6 square faces, 8 vertices, and 12 edges?
A Octahedron has how many faces, vertices and edges?
Which polyhedron is made up of 8 triangular faces, 6 vertices, and 12 edges?
A dodecahedron has how many faces, vertices and edges?
Which polyhedron has 12 pentagonal faces, 20 vertices, and 30 edges?
A icosahedron has how many faces, vertices and edges?
Which polyhedron has 20 triangular faces, 12 vertices, and 30 edges?
What is a polyhedron with several different regular polygonal regions for faces but with the same arrangement of polygons at each vertex called?
What is a semi-regular polyhedron?
What is Euler’s Formula? Which two polyhedron can it be used for?
F + V - 2 = E or F + V = E + 2 is used for prisms and pyramids and is called what?
The Union of line segments joining corresponding points on the simple closed curves and the interiors of the simples closed curves is called a ___________.
Cylinder
Each simple closed curve together with its interior is called a ________.
Base of the Cylinder
In a _______ _________ cylinder, a line segment, AB connecting a point A on one circular base to its corresponding point, B, on the other circular base is perpendicular to the plane of the base.
Right Circular Cylinder
In a _________ cylinder, the bases are parallel, yet line segments connecting corresponding points are not perpendicular to the planes of the bases.
Oblique Cylinder
A _______ is the union of the interior of a simple closed curve and all the line segments joining points of the curve to a point.
Cone
All the line segments joining points of the curve to a point, called the _______.
Apex
The plane curve together with its interior is called the ______.
Base
In a ______ ______ cone, the line segment joining the apex and the center of the circular base is perpendicular to the plane of the base.
Right Circular Cone
in an ______ _______ cone, the line segment joining the apex and the center of the circular base is not perpendicular to the plane of the base.
Oblique Circular Cone
A _______ is the set of all points in three dimensional space that are the same distance from a fixed point.
Sphere.
Any line segment joining the center to a point on the sphere is called a _____.
Radius
A segment joining two points of the sphere and containing the center is called the ______.
Diameter
The union of polygonal regions, any two of which have at most a side in common, such that a connected finite region in space is enclosed with out holes
Polyhedron
A polyhedron with two identical polygons, called bases, has faces that are in parallel planes. The remaining faces that connect the bases are parallelograms.
Prisms
A polyhedra formed by using a polygon for the base and a point not on the plane of the base, called the apex, which is connected with line segments to each vertex of the base.
Pyramid
The union of line segments that join corresponding points of identical simple closed curves in parallel planes. The simple closed curves are oriented the same way and their interiors are also included.
Cylinder
The union of the interior of a simple closed curve and all the line segments joining points of the curve to a point, called the apex, which his not in the plane of the curve.
Cone
