Postulates
You will learn to identify and use basic postulates about points, lines, and planes.
Postulates
postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true.
Postulates
postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true.
Postulate 1-1: Two points determine a unique ___.
Postulates
postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true.
Postulate 1-1: line Two points determine a unique ___.
There is only one line that contains Points P and Q
P Q
Postulates
postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true.
Postulate 1-1: line Two points determine a unique ___.
There is only one line that contains Points P and Q
P Q
Postulate 1-2: If two distinct lines intersect, then their intersection is a ____.
Postulates
postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true.
Postulate 1-1: line Two points determine a unique ___.
There is only one line that contains Points P and Q
P Q
Postulate 1-2: If two distinct lines intersect, point then their intersection is a ____.
Lines l and m intersect at point T
l
T m
Postulates
postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true.
Postulate 1-1: line Two points determine a unique ___.
There is only one line that contains Points P and Q
P Q
Postulate 1-2: If two distinct lines intersect, point then their intersection is a ____.
Lines l and m intersect at point T
l
T m
Postulate 1-3: Three noncollinear points determine a unique _____.
Postulates
postulates Geometry is built on statements called _________. Postulates are statements in geometry that are accepted to be true.
Postulate 1-1: line Two points determine a unique ___.
There is only one line that contains Points P and Q
P Q
Postulate 1-2: If two distinct lines intersect, point then their intersection is a ____.
Lines l and m intersect at point T
l
T m
Postulate 1-3: Three noncollinear points plane determine a unique _____.
There is only one plane that contains points A, B, and C.
A
C B
Postulates
Points A, B, and C are noncollinear.
A
1) Name all of the different lines that can be drawn through these points. C B
2) Name the intersection of AC , and CB
Postulates
Points A, B, and C are noncollinear.
A
1) Name all of the different lines that can be drawn through these points. C B
2) Name the intersection of AC , and CB
Postulates
Points A, B, and C are noncollinear.
A
1) Name all of the different lines that can be drawn through these points.
AC
CB
BA
C
B
2) Name the intersection of AC , and CB
Point C
Postulates
1) Name all of the planes that are represented in the figure.
A
B C
D
Postulates
1) Name all of the planes that are represented in the figure.
There is only one plane that contains three noncollinear points. plane ABC plane ACD plane ABD (side) (side) (back side) B
A
D C
plane BCD
(bottom)
Postulates
Postulate 1-4: If two distinct planes intersect, then their intersection is a ___.
M
N
Postulates
Postulate 1-4: line If two distinct planes intersect, then their intersection is a ___.
Plane M and plane N intersect in line DE.
M
D
E
N
Postulates
Name the intersection of plane CDG and plane BCD.
E
F
A
H
D G
B
C
Postulates
Name the intersection of plane CDG and plane BCD.
DC
E
F
A
H
D G
B
C
Postulates
Name the intersection of plane CDG and plane BCD.
DC
Name two planes that intersect in DF.
E
F
A
H
D G
B
C
Postulates
Name the intersection of plane CDG and plane BCD.
DC
Name two planes that intersect in DF.
planes ADF and CDF
E F
A
H
D G
B
C
Postulates
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