Download Lesson 1.01 KEY Main Idea (page #) DEFINITION OR SUMMARY

Lesson 1.01 KEY
Main Idea (page #)
DEFINITION OR SUMMARY
Undefined terms (P1)
RELIES ON OTHER TERMS THAT NEED DEFINITION. USE
GENERAL DESCRIPTION.
1. Point
LOCATION. NO SIZE, SO NOT DIMENSION
2. LINE
STREAM OF POINTS THAT HAVE NO WIDTH OR DEPTH.
collinear
POINTS THAT LIE ON THE SAME LINE.
NONCOLLINEAR
Points that are NOT on the same line.
3. PLANE
FLAT SURFACE THAT EXTENDS INDEFINITELY IN ALL
DIRECTIONS.
coplanar
POINTS THAT LIE ON THE SAME PLANE.
Non-coplanar
POINTS THAT DO NOT LIE ON THE SAME PLANE.
Elements in Geometry are “defined” using OTHER ELEMENTS
IN GEOMETRY.
Defined Terms (P3)
For example, to define a line segment, you have to use
UNDEFINED terms such as point and line.
EXAMPLE or DRAWING
Lesson 1.01 KEY
Symbols (P4)
Angle
A FIGURE CONSISTING OF TWO NON COLLINEAR RAYS AND A
COMMON ENDPOINT
<ABC, <CBA, or <B
Perpendicular lines
TWO LINES THAT INTERSECT AT 90 DEGREE ANGLES.
Parallel Lines
TWO LINES THAT LIE WITHIN THE SAME PLANE AND NEVER
INTERSECT.
a || b
Part of a line that has one endpoint and continues in one
RAY
direction infinitely.
Vertex
THE COMMON ENDPOINT WHERE TWO RAYS FORM A
CORNER OF AN ANGLE.
PLANE
Flat surface that extends infinitely and has no depth.
All the points are a given distance, the radius, from a given
CIRCLE
point (center).
Sketching (P5)
ONLY NEED SOMETHING TO DRAW WITH AND DRAW ON –
NO TOOLS NEEDED.
Can use some tools such as a straightedge, but not important
DRAWING
to get exact measure.
Plane ABC
Lesson 1.01 KEY
Constructing
NEED FOR GEOMETRIC TOOLS LIKE COMPASS. EXACT
MEASUREMENTS.
Blueprint for a building design
Postulates
Pieces of information that are FACTS.
Print Postulates from Lesson 1.06 Page 4.
Theorems (P7 and Lesson
Summary and Assessment)
UNDEFINED TERMS, DEFINED TERMS, and postulates will
Print Theorems from Lesson 1.06 Page 5
help you prove theorems in Geometry.