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1-5 Postulates and Theorems Relating Points, Lines and Planes

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Presentation on theme: "1-5 Postulates and Theorems Relating Points, Lines and Planes"— Presentation transcript:

1 1-5 Postulates and Theorems Relating Points, Lines and Planes

2 Postulate A line contains at least two points, a plane contains at least 3 points not all in one line; space contains at least four points not all in one plane.

3 Postulate Through any two points there is exactly one line.

4 Postulate Through any 3 points there is at least one plane, and through any three noncollinear points there is EXACTLY one plane.

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6 Postulate If two points are in a plane, then the line that contains the points is in the plane.

7 Postulate If two planes intersect, then their intersection is a line.

8 A line contains at least two points, a plane contains at least 3 points not all in one line; space contains at least for points not all in one plane. Through any two points there is exactly one line. Through any 3 points there is at least one plane, and through any three noncollinear points there is EXACTLY one plane. If two points are in a plane, then the line that contains the points is in the plane. If two planes intersect, then their intersection is a line.

9 What is a theorem? Important statements that have been PROVEN TRUE.
From previous information

10 Theorem If 2 lines intersect, then they intersect in exactly one point.

11 Theorem Through a line and a point not in the line there is exactly one plane.

12 Theorem If 2 lines intersect, then exactly one plane contains the lines.

13 Homework Pg. 25 #s 5-17, 20 Pg #s 5-20

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