What is Geometry?

What is Geometry? Simply put, geometry is the study of the 
size, shape and position of 2 dimensional 
shapes and 3 dimensional figures. http://math.about.com/od/geometry/a/whygeom.htm

First, geometry is important to a wide range of scientific 
and technological fields. Second, geometry sharpens thinking skills by teaching 
the process of logical reasoning and deductive thinking. 
Every career uses the logical reasoning learned in 
geometry. Third, artists made creative use of geometry throughout 
the centuries. Enjoy the geometry of Man-Made 
Wonders of the World: Pyramids of Egypt, Machu 
Picchu, Great Wall of China, Taj Mahal, Bali, Angkor 
Wat, Forbidden City, Bagan Temples & Pagodas, 
Karnak Temple, Teotihuacan, Nazca Lines and more. http://agutie.homestead.com/files/Landscape/landscape_why_study_geometry_1.htm

Named with a capital letter LEARNING OBJECTIVE: Students will recognize and name Points, Lines, 
 Segments, Rays, Angles and Triangles. Points A location No size or thickness Named with a capital letter

Part of a line but having two endpoints. Named using the endpoints LEARNING OBJECTIVE: Students will recognize and name Points, Lines, 
 Segments, Rays, Angles and Triangles. Lines An infinite set of points Straight Extends infinitely in both directions Named with either a single small case letter or by 
 naming any two points that lie on the line Line k,   and   are all names for the same set of 
 points (line). Segments Part of a line but having two endpoints. Named using the endpoints  or    are valid names for the segment

The Union (∪) of three segments LEARNING OBJECTIVE: Students will recognize and name Points, Lines, 
 Segments, Rays, Angles and Triangles. Triangles The Union (∪) of three segments The Intersection (∩) of two sides is a point called a vertex  of the triangle A triangle is named by naming the three vertices of the 
 triangle  ΔABC, ΔBCA and ΔCAB  are all names for the same set  of points (triangle)

Part of a line but having a single endpoint LEARNING OBJECTIVE: Students will recognize and name Points, Lines, 
 Segments, Rays, Angles and Triangles. Rays Part of a line but having a single endpoint Extends infinitely in one direction Named using the endpoint and any other point on 
 the ray (the endpoint must be named first)   and   both name the same exact set of points 
 (ray), and   are names of different rays

Two rays that have the same endpoint LEARNING OBJECTIVE: Students will recognize and name Points, Lines, 
 Segments, Rays, Angles and Triangles. Angles Two rays that have the same endpoint Named by naming the point where the rays meet called  the 
 vertex (when appropriate), by using a number, or by 
 naming three points. If using three points, the middle 
 point must be the vertex and each of the other points 
 must lie on a different ray. , , , and   all name exactly the same set 
 of points (angle). While   does “exist”, this is a different angle that the 
 one shown.

What are four ways to name this angle?

LEARNING OBJECTIVE: Students will recognize and name Points, Lines, 
 Segments, Rays, Angles and Triangles.

LEARNING OBJECTIVE: Students will recognize and name Points, Lines, 
 Segments, Rays, Angles and Triangles.

LEARNING OBJECTIVE: Students will recognize and name Points, Lines, 
 Segments, Rays, Angles and Triangles.

LEARNING OBJECTIVE: Students will recognize and name Points, Lines, 
 Segments, Rays, Angles and Triangles.

LEARNING OBJECTIVE: Students will recognize and name Points, Lines, 
 Segments, Rays, Angles and Triangles.

LEARNING OBJECTIVE: Students will recognize and name Points, Lines, 
 Segments, Rays, Angles and Triangles.

LEARNING OBJECTIVE: Students will recognize and name Points, Lines, 
 Segments, Rays, Angles and Triangles.

LEARNING OBJECTIVE: Students will recognize and name Points, Lines, 
 Segments, Rays, Angles and Triangles. Assignment 1-1: 1-12, 14