12.6 Describing Three Dimensional Shapes

Question 1

There are ________ many planes in three dimensional shapes.

Answer 1

There are infinitely many planes in three dimensional _______.

Question 2

What is the union of polygonal regions in space that share an edge and is formed by two intersecting planes?

Answer 2

What is a dihedral angle?

Question 3

What are the polygonal regions forming the dihedral angle called?

Answer 3

What are the faces of a dihedral angle?

Question 4

What are lines in three dimensional space that do not intersect nor do they have to be parallel?

Answer 4

What are skew lines?

Question 5

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?

Answer 5

What is a polyhedron?

Question 6

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.

Answer 6

What is a convex polyhedron?

Question 7

What are the polygonal regions of a polyhedron called?

Answer 7

What are faces in regards to polyhedrons?

Question 8

What are the line segments common to a pair of faces called?

Answer 8

What is an edge of a polyhedron?

Question 9

What are the points of intersection of the edges in a polyhedron called?

Answer 9

What are vertices in a polyhedron?

Question 10

What is a polyhedra with two opposite faces that are identical polygons called?

Answer 10

What are prisms?

Question 11

What are the two opposite faces of a prism called?

Answer 11

What are the bases of a prism?

Question 12

What type of faces are created by the vertices of the bases of a prism joining together?

Answer 12

What are lateral faces?

Question 13

Which prism is creates when the lateral faces are rectangles?

Answer 13

What is a right prism?

Question 14

Which prism is created when the lateral faces and bases do not create a 90 degree dihedral angle?

Answer 14

What is an oblique prism?

Question 15

Since there are infinitely many types of polygons to use as the bases of a prism there are __________ many types of prisms.

Answer 15

Since there are infinitely many types of polygons to use as the bases of a prism there are infinitely many types of _______.

Question 16

What are polyhedra formed y using a polygon for the base and a point not in the plane of the base, called the apex?

Answer 16

What are pyramids?

Question 17

What is the point of a pyramid that is connected with line segments to each vertex of the base called?

Answer 17

What is an apex?

Question 18

How are prisms and pyramids named?

Answer 18

Which 3 dimensional shapes are named by the polygonal shape of its base and the type or degree of their lateral faces?

Question 19

What are regular pyramids whose lateral faces are isosceles triangles called?

Answer 19

What are right regular pyramids?

Question 20

What are regular pyramids whose lateral faces are not isosceles triangles called?

Answer 20

What are oblique regular pyramids?

Question 21

What type of polyhedron is one in which all faces are identical regular polygonal regions and all dihedral angles have the same measure called?

Answer 21

What is a regular polyhedron

Question 22

What are regular convex polyhedra called?

Answer 22

What are Platonic Solids?

Question 23

What are the five regular convex polyhedra; the five platonic solids?

Answer 23

1. ) Tetrahedron
2. )Hexahedron
3. )Octahedron
4. )Dodecahedron
5. )Icosahedron

Question 24

A Tetrahedron has how many faces, vertices and edges?

Answer 24

Which polyhedron has 3 triangular faces, 4 vertices and six edges?

Question 25

A hexahedron has how many faces, vertices and edges?

Answer 25

Which polyhedron has 6 square faces, 8 vertices, and 12 edges?

Question 26

A Octahedron has how many faces, vertices and edges?

Answer 26

Which polyhedron is made up of 8 triangular faces, 6 vertices, and 12 edges?

Question 27

A dodecahedron has how many faces, vertices and edges?

Answer 27

Which polyhedron has 12 pentagonal faces, 20 vertices, and 30 edges?

Question 28

A icosahedron has how many faces, vertices and edges?

Answer 28

Which polyhedron has 20 triangular faces, 12 vertices, and 30 edges?

Question 29

What is a polyhedron with several different regular polygonal regions for faces but with the same arrangement of polygons at each vertex called?

Answer 29

What is a semi-regular polyhedron?

Question 30

What is Euler’s Formula? Which two polyhedron can it be used for?

Answer 30

F + V - 2 = E or F + V = E + 2 is used for prisms and pyramids and is called what?

Question 31

The Union of line segments joining corresponding points on the simple closed curves and the interiors of the simples closed curves is called a ___________.

Answer 31

Cylinder

Question 32

Each simple closed curve together with its interior is called a ________.

Answer 32

Base of the Cylinder

Question 33

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.

Answer 33

Right Circular Cylinder

Question 34

In a _________ cylinder, the bases are parallel, yet line segments connecting corresponding points are not perpendicular to the planes of the bases.

Answer 34

Oblique Cylinder

Question 35

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.

Answer 35

Cone

Question 36

All the line segments joining points of the curve to a point, called the _______.

Answer 36

Apex

Question 37

The plane curve together with its interior is called the ______.

Answer 37

Base

Question 38

In a ______ ______ cone, the line segment joining the apex and the center of the circular base is perpendicular to the plane of the base.

Answer 38

Right Circular Cone

Question 39

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.

Answer 39

Oblique Circular Cone

Question 40

A _______ is the set of all points in three dimensional space that are the same distance from a fixed point.

Answer 40

Sphere.

Question 41

Any line segment joining the center to a point on the sphere is called a _____.

Answer 41

Radius

Question 42

A segment joining two points of the sphere and containing the center is called the ______.

Answer 42

Diameter

Question 43

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

Answer 43

Polyhedron

Question 44

A polyhedron with two identical polygons, called bases, has faces that are in parallel planes. The remaining faces that connect the bases are parallelograms.

Answer 44

Prisms

Question 45

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.

Answer 45

Pyramid

Question 46

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.

Answer 46

Cylinder

Question 47

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.

Answer 47

Cone