Download LEARNING OBJECTIVE: Students will recognize and name Points

What is
G
eometry?
What is
G
eometry?
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
LEARNING OBJECTIVE: Students will recognize and name Points, Lines,
and Triangles.
Points
A location
No size or thickness
Named with a capital letter
Segments, Rays, Angles
LEARNING OBJECTIVE: Students will recognize and name Points, Lines,
and Triangles.
Segments, Rays, Angles
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
LEARNING OBJECTIVE: Students will recognize and name Points, Lines,
and Triangles.
Segments, Rays, Angles
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)
LEARNING OBJECTIVE: Students will recognize and name Points, Lines,
and Triangles.
Segments, Rays, Angles
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
LEARNING OBJECTIVE: Students will recognize and name Points, Lines,
and Triangles.
Segments, Rays, Angles
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,
and Triangles.
Segments, Rays, Angles
LEARNING OBJECTIVE: Students will recognize and name Points, Lines,
and Triangles.
Segments, Rays, Angles
LEARNING OBJECTIVE: Students will recognize and name Points, Lines,
and Triangles.
Segments, Rays, Angles
LEARNING OBJECTIVE: Students will recognize and name Points, Lines,
and Triangles.
Segments, Rays, Angles
LEARNING OBJECTIVE: Students will recognize and name Points, Lines,
and Triangles.
Segments, Rays, Angles
LEARNING OBJECTIVE: Students will recognize and name Points, Lines,
and Triangles.
Segments, Rays, Angles
LEARNING OBJECTIVE: Students will recognize and name Points, Lines,
and Triangles.
Segments, Rays, Angles
LEARNING OBJECTIVE: Students will recognize and name Points, Lines,
and Triangles.
Assignment 1-1: 1-12, 14
Segments, Rays, Angles