Three-Dimensional Objects

A Euclidean _______________________ is a completely unbounded three-dimensional object such that the shortest path between any two points in that object is also in the object (assuming the path is free to leave the object.)

• line

• plane

• point

• space

Any four _______________________ points define a single Euclidean space.

• colinear

• coplanar
• non-coplanar
• non-colinear

A completely bounded three-dimensional object whose boundaries are polygons is called a _______________.

• Circle
• Triangle
• Polygon
• Polyhedron

A ​ (a)   is formed from a polygon called the ​ (b)   and a point called the ​ (c)   . Line segments are then drawn from each vertex in the base to the point, forming a set of ​ (d)   . The base and these shapes are the ​ (e)   of this object.

• pyramid
• base
• apex
• triangles
• boundaries

A pyramid with a base that is a regular polygon is called a _______________________ pyramid.

• Square
• Regular
• Irregular
• Equilateral

A/an _______________________ can be thought of as a regular pyramid with a base that has an infinite number of sides. However, this object is usually not classified in this fashion.

• Sphere

• Polyhedron

• Cylinder

• Cone

A ​ (a)   is formed by two ​ (b)   polygons that lie on parallel planes. Each of these polygons is called a ​ (c)   . Line segments are drawn between the corresponding vertices of each polygon, forming a set of ​ (d)   ​ . The base and these shapes are the ​ (e)   of this object.

• prism
• congruent
• base
• quadrilaterals
• boundaries

A prism with bases that are regular polygons is called a _______________________ prism.

• regular

• cylindrical

• skew

• right

A _______________________ can be thought of as a regular prism with bases that have an infinite number of sides. However, this object is usually not classified in this fashion.

• Cylinder
• Pyramid
• Cone
• Sphere

A ​ (a)    is the set of all points in three-dimensional space that are equidistant from a given point, called the ​ (b)   . This distance is called the ​ (c)   .

• sphere
• center
• radius