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Download Section 6.1 Relating Lines to Planes - Honors Geometry 2012-2012
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Chapter 6 Lines and Planes in Space 6.1 Relating Lines to Planes Preliminary Concepts 1. A plane is a surface such that if any two points on the surface are connected by a line, all points of the line are also on the surface. 2. Planar vs. Non-Coplanar A surface that is not a plane. A plane surface. The foot of the line. • The point of intersection of a line and a plane is called the foot of the line. A postulate says to 3 theorems: “Here’s how to determine a plane!” 1. 2. 3. 4. Postulate: Three noncollinear points determine a plane. Th 45: A line and a point not on the line determine a plane. Th 46: Two intersecting lines determine a plane. Th 47: Two parallel lines determine a plane. Two Postulates Concerning Lines and Planes • Postulate: If a line intersects a plane not containing it, then the intersection is exactly one point. • Postulate: If two planes intersect, their intersection is exactly one line. Sample Problems Sample Problems page 272. 1. Sample Problem #2 • Given: A, B, and C lie in plane m.
