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Unformatted text preview: 3-3 Lines, Planes and Pictures (continuted)
A) The Flat Plane Postulate a. If two points of a line lie in a plane, then the line lies in the same plane. i. Planes are perfectly flat, no waviness B) Theorem 3-2 a. If a line intersects a plane not containing it, then the intersection contains only one point b. Draw this on the plane C) The Plane Postulate a. Any three points lie in at least one plane, and any three noncollinear points lie in exactly one plane i. In brief: Any three points are coplanar, and any three noncollinear points determine a plane D) Theorem 3-3 a. Given a line and a point not on the line, there is exactly one plane containing both E) Theorem 3-4 a. Given two intersecting lines, there is exactly one plane containing both i. In brief: A line and a point not on it determine a plane, and two intersecting lines determine a plane F) Postulate 8 a. If two different planes intersect, then their intersection is a line Homework #8 ...
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- Spring '09
- Algebra, Euclidean geometry, plane postulate