Lesson 5 - Geometric Design Flashcards
Everything that surrounds us has shape, line, volume, surface area, curve, and some other aspects of _________
geometry
A polygon is a__________shape with ______ sides.
two-dimensional
straight
A polygon can be classified according to the number of its sides, such as a three-sided shape called ________ and a four-sided shape called ________
triangle
quadrilateral
Polygons are either _________ or _______
simple
complex
Polygons are either ______ or _______
concave
convex
A _______ polygon has no angles pointing inward. More precisely, no internal angles can be more than 180 degrees. If any internal angles are greater than 180, it is a _______
convex
concave
If all polygon angles are equal and all sides are equal, it is _______; otherwise, it is _______.
regular
irregular
Formula for any polygon
NUMBER OF SIDES - n
SUM OF INTERNAL ANGLES - (n-2)x180
MEASUREMENT OF EACH ANGLE FOR REGULAR POLYGON - (n-2)x180/n
Number of sides of the following
- Triangle
- Quadrilateral
- Pentagon
- Hexagon
- Triangle -3
- Quadrilateral - 4
- Pentagon - 5
- Hexagon - 6
A _______ or ______ is the geometry of a three-dimensional space, the kind of space we live in
solid or form
it is called three-dimensional or 3D because there are three dimensions: width, depth, and height.
Solid
There are two main types of solids, namely: _______ and __________
polyhedral
non-polyhedra.
A _______ is a solid made of flat surfaces; each surface is a polygon, like the platonic solids, prisms, and pyramids
polyhedron
_______ are solids with curved surfaces, or a mix of curved and flat surfaces, such as spheres, cylinders, cones, and torus.
Non-polyhedra
__________ is a convex polyhedron whose faces are all congruent convex regular polygons.
Platonic solid
There are five platonic solids, namely;
- Tetrahedron
- Cube
- Octahedron
- Dodecahedron
- Icosahedron
How many faces, Vertices, Edges Does a TETRAHEDRON have?
4 faces
4 vertices
6 edges
How many faces, Vertices, Edges Does a CUBE have?
6 faces
8 vertices
12 edges
How many faces, Vertices, Edges Does a OCTAHEDRON have?
8 faces
6 vertices
12 edges
How many faces, Vertices, Edges Does a DODECAHEDRON have?
12 faces
20 vertices
30 edges
How many faces, Vertices, Edges Does a ICOSAHEDRON have?
20 faces
12 vertices
30 edges
How many faces, Vertices, Edges Does a SQUARE PYRAMID have?
5 faces
5 vertices
8 edges
How many faces, Vertices, Edges Does a TRIANGULAR PYRAMID have?
4 faces
4 vertices
6 edges
How many faces, Vertices, Edges Does a SQUARE PRISM have?
6 faces
8 vertices
12 edges