1 5 Postulates And Theorems Relating Points, Lines Filled In
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Transcript of 1 5 Postulates And Theorems Relating Points, Lines Filled In
Postulates and Theorems Relating Points, Lines, and
Planes1-5
Recall…
4 Postulates we’ve accepted so far:1) The Ruler Postulate 2) The Protractor Postulate3) The Segment Addition Postulate4) The Angle Addition Postulate
More Postulates!!!
Postulate 5: – A line contains at least ___ points– A plane contains at least ___ non
collinear points– space contains at least ___ points not
all in one plane.
More Postulates!!!
• Postulate 6:– Through any ___ points, there is exactly
one line
• Postulate 7:– Through any 3 points there is at least __
plane, and through any three non collinear points there is exactly ____ plane.
More Postulates!!!
• Postulate 8
• If two points are in a plane, then the line that contains the points is in that plane.
AB
M
More Postulates!!!
• Postulate 9
• If two planes intersect, then their intersection is a line.
– DC is the intersection of Plane A and Plane B
AB
Theorems
• Important statements that are proved are called theorems.–May be used to justify statements
Theorems
• Theorem 1-1: Intersection of lines – If two lines intersect, then they intersect
in exactly one point.
Theorems
• Theorem 1-2– Through a line and a point not in the line
there is exactly one plane.
B
K
A
Theorems
• Theorem 1-3 – If two lines intersect, then exactly one plane
contains the lines.
SPICSA
• Pg 25, # 1 – 11, 13 - 15, 18, 19 a-d
