Download Basic Geometry

SPI 3108.1.1
Give precise mathematical
descriptions or definitions of geometric shapes in
the plane and space.
 Geometry is the study of points, lines, and planes and
their relationships.
 It is unknown exactly when Geometry came about.
However, there are some parts of Geometry that dates
back to 2500 BC with the Egyptians.
 Geometry was first organized about 300 BC when the
Greek mathematician Euclid gathered what was
known at the time, added some of his own ideas, and
arranged them into 13 books called 'Elements'.
 A POINT is a basic term with no length or width. It is
a location in “space”.
 Example s of a POINT:
(2, 2)
Graph
Home
(address)
 A LINE extents indefinitely and have no thickness or
width.
 Examples of a LINEs:
A
B
 COLLINEAR are three or more points that lie on the
same line.
 NONCOLLINEAR are three or more points that do not
lie on the same line.
 Example of COLLINEAR: A, B, and C
 Example of NONCOLLINEAR: A, C, and D
D
A
B
C
 A RAY is part of a line that has an endpoint and
contains all the points of a line without end in one
direction.
 Examples of a RAYs:
A
●
B
Car headlights
 A LINE SEGMENT is part of a line containing two
endpoints and all points between them.
 Examples of a LINE SEGMENTs:
A
B
●
●
School Hallway
 A PLANE is a flat surface that extents in all directions
containing at least three noncollinear points.
 Examples of a PLANE:
Y
X
The Ocean
 COPLANAR are three or more points that lie on the
same plane.
 NONCOPLANAR are three or more points that do not
lie on the same plane.
 Example of COPLANAR: A, B, C, and D
 Example of NONCOPLANAR: The TV and the floor.
The floor is a plane, but the TV does not set on the
floor.
A
B
C
D
 Match the example with the appropriate term.
1. The tip of a needle.
2. A wall
3. A star in the sky
4. Lines on notebook paper
5. A sink facet
6. A skating rink
A.
B.
C.
D.
Plane
Point
Ray
Line Segment
 Match the example with the appropriate term.
B 1. The tip of a needle.
A.
A 2. A wall
B.
B 3. A star in the sky
C.
D 4. Lines on notebook paper D.
C 5. A sink facet
A 6. A skating rink
Plane
Point
Ray
Line Segment