TOOLS OF GEOMETRY UNIT 1. POINTS, LINES, AND PLANES Essential Understanding: Geometry is a...

TOOLS OF GEOMETRY

UNIT 1

POINTS, LINES, AND PLANESEssential 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

Constructions

Pg. 45

Show what you knowPg. 23 & 37