Geo Building Blocks
Defined and Undefined Terms
Defined and Undefined Terms 2
Definitions and Postulates
Inductive vs Deductive and If/Then
100
Terms that are fundamental and cannot be defined with simpler terms.
What is an undefined term
100
An undefined term that indicates position and is named by a single capital letter
What is a point
100
A set of continuous points that extend indefinetly in either direction
What is a line
100
Name 2 factors of a good definition
What are:
1. Clearly identify the word (or expression being defined) 2. State characteristics of the term, using only words that are commonly understood or previously defined. 3. Be expressed in a grammatically correct sentence.
100
Examining examples, observing a pattern and cocluding this relationship will always be true.
What is inductive reasoning
200
Terms that have a formal definition and can be defined using other geometrical terms.
What are defined terms
200
A defined term that is part of a line consisting of 2 points called endpoints and all points between them
What is line segment
200
Apart of a line consisting of a given point called an endpoint and the set of all points on one side of the endpoint
What is a ray
200
Using accepted facts to reason in a step by step fasion until a desired conclusion is reached.
Deductive reasoning
300
Principles in Geometry that are so basic they cannot be arrived at using simpler facts
What are postulates
300
An undefined term that consists of a set of points that form a flat surface with no depth and extends indefinitely in all directions
What is a plane
300
The union of 2 rays having the same endpoint called a vertex
What is an angle
300
Accepted statements, facts or assumptions
What are postulates
400
A geometric generalization that cannot be prove to be true.
What is a theorem
400
Rays that have the same endpoint and form a line
What are opposite rays
400
The shared endpoint in an angle
What is the vertex
500
The system in which a beginning set of assumptions and undefined terms is a starting point in developing new relationships that are expressed as theorems.
What is a postulational system
500
Name 3 rays in this image
what are (answers vary)
500
Give 3 names for one of the numbered angles
Answers will vary