TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a...
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Transcript of TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a...
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TOOLS OF GEOMETRY
UNIT 1
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POINTS, LINES, AND PLANESEssential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and definitions
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The terms point, line, and plane are not defined because their definitions would require terms that also need defining. You can, however, use undefined terms to define other terms. A geometric figure is a set of points. Space is the set of all points in three dimensions. Similarly, the definitions for segment and ray are based on points and lines.
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SEGMENTS AND RAYS
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POSTULATE: A postulate or axiom is an accepted statement of fact. Postulates, like undefined terms, are basic building blocks of the logical sys in geometry
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If two planes intersect, then they intersect in exactly one line.
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POSTULATE 4
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Through any three noncollinear points, there is exactly one plane.
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Ruler Postulate
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Segment
Addition
Postulate
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Midpoint
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Constructing Congruent Segments
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Perpendicular Bisector
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Constructions
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Show what you knowPg. 23 & 37
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