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POINTS, LINES AND PLANES

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Section 1-1 Jim Smith JCHS POINTS, LINES AND PLANES What is Geometry? Geometry is the study of shapes They studied Geometry in Ancient Mesopotamia & Ancient Egypt ... – PowerPoint PPT presentation

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Title: POINTS, LINES AND PLANES


1
POINTS, LINES AND PLANES
Section 1-1
Jim Smith JCHS
2
What is Geometry?
  • Geometry is the study of shapes
  • They studied Geometry in Ancient Mesopotamia
    Ancient Egypt
  • Geometry is important in the art and construction
    fields

3
POINT
  • A POINT is an exact location on a graph, shape
    or in space.
  • The ball is a POINT on the line.

4
LINE
  • A LINE goes in opposite directions and never,
    ever ends.

Take a pearl necklace and stretch it out. The
pearls are like points on a line.
5
PLANE
  • A PLANE is a flat surface that goes on forever
    in all directions.
  • Imagine sitting on an island in the middle of
    the ocean. No matter which way you lookall you
    see is waterforever.

6
TO NAME A POINT- WE USE A CAPTIAL LETTER
  • .A
  • .X

7
TO NAME A LINE- USE ANY 2 POINTS ON THE LINE
  • LINE RT or LINE ST or LINE RS

RT
RS
8
POINTS ON THE SAME LINE ARE CALLED COLLINEAR
POINTS
  • A, B, AND Y ARE COLLINEAR

.
.
Y
.
B
A
9
TO NAME A PLANE WE USE 3 OR 4 NONCOLLINEAR POINTS
  • PLANE WAG or XAG or WXA

.
.A
Q
X
.W
.G
PLANES CAN BE NAMED USING 1 LETTER . PLANE Q
10
THE INTERSECTION OF 2 LINES IS A POINT
s
S IS THE INTERSECTION OF THE 2 LINES
11
LINE AB IS CONTAINED IN PLANE Q
Q
B
A
12
LINE XY INTERSECTS PLANE Q AT POINT X
Y
Q
.
X
13
THE ARROW INTERSECTS THE TARGET AT 1 POINT
14
Lines YB and XZ do not intersect
Z
.
Y
.
B
X
15
THE INTERSECTION OF 2 PLANES IS A LINE
A
D
G
B
C
E
E
G
H
C
F
16
POINTS AND LINES CONTAINED IN THE SAME PLANE ARE
CALLED COPLANAR
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