Points, Lines And Planes

Points, Lines And Planes - Transcript

POINTS LINES AND PLANES PLANES Section 1 1

Jim Smith JCHS

What is Geometry What




Geometry is the study of shapes They studied Geometry in Ancient Mesopotamia Ancient Egypt Geometry is important in the art and construction fields

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

POINT POINT

LINE LINE A LINE goes in opposite directions and

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

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 look all you see is water forever

PLANE PLANE

TO NAME A POINT WE USE A CAPTIAL LETTER CAPTIAL

A X

TO NAME A LINE USE ANY 2 POINTS ON THE LINE POINTS LINE RT or LINE ST or LINE RS T S

R

RS

RT

POINTS ON THE SAME LINE ARE CALLED COLLINEAR POINTS
A B AND Y ARE COLLINEAR

A



B





Y

TO NAME A PLANE WE USE 3 OR 4 NONCOLLINEAR POINTS NONCOLLINEAR

PLANE WAG or XAG or WXA

X W A G

Q

PLANES CAN BE NAMED USING 1 LETTER PLANE Q

THE INTERSECTION OF INTERSECTION 2 LINES IS A POINT LINES

s
S IS THE INTERSECTION OF THE 2 LINES

LINE AB IS CONTAINED IN PLANE Q
Q

A

B

LINE XY INTERSECTS PLANE Q INTERSECTS AT POINT X AT
Y X



Q

THE ARROW INTERSECTS THE ARROW INTERSECTS THE TARGET AT 1 POINT

Lines YB and XZ do not intersect do

Z

X

Y

B

THE INTERSECTION OF 2 PLANES IS A LINE LINE
A B
G

G C
E H

D

E

C

F

POINTS AND LINES CONTAINED IN POINTS THE SAME PLANE ARE CALLED COPLANAR COPLANAR

W

G

P

Y S

X