Question

15.1.1 study: what is a polyhedron? mathematics ii
name: maya morales
date:
use the questions below to keep track of key concepts from this lessons study activity.

1. practice: organizing information

fill in the blanks in the list to define polyhedron.
polyhedron

• a ____ - dimensional solid
• bounded by polygons, called ____
• encloses a single region of ____

1. practice: making mental images and organizing information

complete the chart.

polygon part	what is it?
____	a line segment
____	a polygon

1. practice: using visual cues

label one vertex, one edge, and one face on this cube.

1. practice: making mental images

how are oblique and right polyhedrons different?

Explanation:

1. A polyhedron is a three - dimensional solid. The polygons that bound it are called faces, and it encloses a single region of space.
2. The parts of a polygon corresponding to a point is a vertex, to a line segment is an edge, and to a polygon is a face.
3. For the cube, a vertex is a corner point, an edge is a line - segment where two faces meet, and a face is a flat polygon surface.
4. In a right polyhedron, the lateral edges are perpendicular to the bases. In an oblique polyhedron, the lateral edges are not perpendicular to the bases.

Answer:

1. three; faces; space
2. vertex; edge; face
3. (Labeling cannot be done in text form, but conceptually: Vertex is a corner point, edge is a line - segment between faces, face is a flat surface)
4. In right polyhedra, lateral edges are perpendicular to bases. In oblique polyhedra, lateral edges are not perpendicular to bases.