TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and.

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Presentation transcript:

TOOLS OF GEOMETRY UNIT 1

POINTS, LINES, AND PLANES Essential Understanding: Geometry is a mathematical system built on accepted facts, basic terms, and definitions Pg. 11

Pg. 12

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. Pg. 12

SEGMENTS AND RAYS Pg. 13

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

If two planes intersect, then they intersect in exactly one line. Pg. 14

POSTULATE 4

Through any three noncollinear points, there is exactly one plane. Pg. 15

Pg. 21 &21

Ruler Postulate Pg. 21

Segment Addition Postulate Pg. 21

Pg. 22

Midpoint Pg. 23

Constructing Congruent Segments Pg. 43

Perpendicular Bisector Pg. 44

ConstructionsConstructions Pg. 45

Show what you know Pg. 23 & 37