POINTS, LINES AND PLANES

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POINTS, LINES AND PLANES
Section 1-1
Jim Smith JCHS
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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

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POINT

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

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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.
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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.

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TO NAME A POINT- WE USE A CAPTIAL LETTER

• .A
• .X

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TO NAME A LINE- USE ANY 2 POINTS ON THE LINE

• LINE RT or LINE ST or LINE RS

RT
RS
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POINTS ON THE SAME LINE ARE CALLED COLLINEAR
POINTS

• A, B, AND Y ARE COLLINEAR

.
.
Y
.
B
A
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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
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THE INTERSECTION OF 2 LINES IS A POINT
s
S IS THE INTERSECTION OF THE 2 LINES
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LINE AB IS CONTAINED IN PLANE Q
Q
B
A
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LINE XY INTERSECTS PLANE Q AT POINT X
Y
Q
.
X
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THE ARROW INTERSECTS THE TARGET AT 1 POINT
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Lines YB and XZ do not intersect
Z
.
Y
.
B
X
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THE INTERSECTION OF 2 PLANES IS A LINE
A
D
G
B
C
E
E
G
H
C
F
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POINTS AND LINES CONTAINED IN THE SAME PLANE ARE
CALLED COPLANAR