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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 Theorems: Important statements that are proved Postulates: basic assumptions in Geometry that are accepted w/o proof

3 Postulate 5: A line contains at least two points; a plane contains at least three points not all in one line; space contains four points not all in one plane Postulate 6: through any two points there is exactly one line

4 Postulate 7: Through any three points there is at least one plane, and through any three noncollinear points, there is exactly one plane Postulate 8: if two points are in a plane, then the line that contains the points is in that plane.

5 Postulate 9: If two planes intersect, then the intersection is a line.

6 Theorem 1-1: If two lines intersect, then they intersect in exactly one point Theorem 1-2: Through a line and point not in the line, there is exactly one plane. Theorem 1-3: If two lines intersect, then exactly one plane contains the lines.

7 “Exactly one” can also be replaced by “one and only one” “Exists” can be replaced by “At least one” “unique” can be replaced by “No more than one”

8 Homework 1.) Pg 25: 1-19 odd 2.) Study: Chapter 1 Test on Wednesday, Block 2


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