Parts of a Prop.
Restates the enunciation to confirm that it has been proven or demonstrated.
What is the "conclusion"?
How you conclude a construction proof.
What is "Q.E.F."?
Drawings of geometric objects.
What is a "construction"?
We use these four things as reasons for each step of a proof.
What are "Definitions, Postulates, Common Notions, and Propositions"?
This tool is used to preserve distances in Euclidean Geometry.
What is a "compass"?
Restates the "building materials" in terms of particular points, lines, and/or figures.
What is the "given"?
This states what given and what was to be proven using particular geometric language.
What is the "particular conclusion"?
When two geometric objects occupy the same space at the same time.
What is "coinciding"?
A 2-column proof consists of these things.
What are the "statements and reasons"?
Euclid lived in this century.
What is "3rd century B.C."?
Adds additional lines or figures if needed.
What is the "construction"?
How you conclude a proof of a theorem.
What is "Q.E.D."?
Connected logical steps that show the given leads to the desired goal.
What is a "proof"?
Each step of a proof needs one of these.
What is a "reason or justification"?
Don't forget to do this after you've drawn all the points, lines, and figures of your construction.
What is "labeling your construction"?
States what is to be proven in general language.
What is the "enunciation of a proposition"?
This restates the enunciation after the end of a proof.
What is the "general conclusion"?
When two figures have all their corresponding parts equal to each other.
What is "congruence"?
"Q.E.D" stands for these three Latin words.
What is "Quod Erat Demonstrandum"?
What we do to demonstrate that we understand what the enunciation of a proposition is saying.
What is "rewriting the enunciation in your own words"?
States what the aim of the proof is in terms of particular points, lines, and figures.
What is the "goal"?
The particular conclusion is made up of these two elements restated as an if/then statement.
What are the "given" and "goal"?
When a line is opposite an angle in a triangle.
What is a "subtends"?
This kind of proof assumes the conclusion is false and then reasons to a contradiction.
What is "proof by contradiction" or "reductio ad absurdum"?
This is Ms. Fryling's favorite proposition.
What is "Proposition I.5"?