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Geo Chapter 2 Voc

Geometry

An unproven statement that is based on observations Conjecture
Determining a pattern in specific cases and then writing a conjecture for the general case Inductive reasoning
A specific case for which a conjecture is false Counterexample
A logical statement that has two-parts a hypothesis and a conclusion Conditional statement
Most common way to write conditionals If-then form
Beginning part of a conditional Hypothesis
Ending part of a conditional Conclusion
A statement that is opposite the original statement Negation
Exchanging the hypothesis and conclusion of a conditional Converse
Negating both the hypothesis and conclusion of a conditional statement Inverse
Writing the converse of the conditional and then negating both the hypothesis and conclusion Contrapositive
When two statements are true or when two statements are false Equivalent Statements
Two lines intersecting to form a right angle Perpendicular lines
When both the conditional and converse are true Biconditional statements
Uses facts, definitions, accepted properties, logic, and rules to form a logical argument and reach a conclusion Deductive Reasoning
A statement involving the word and Conjunction
With a conjunction, what part of a venn diagram is shaded? Only the overlapping region of both circles
A statement involving the word or Disjunction
When one event or another event can be true but not both Exclusive Disjunction
When one event, another event, or both events could be true Inclusive Disjunction
With an exclusive disjunction, what part of a venn diagram is shaded? Both circles, but not the overlapping
With an inclusive disjunction, what part of a veen diagram is shaded? Both circles and the overlapping
A line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it at that point Line Perpendicular to a Plane
A logical argument that shows a statement to be true Proof
Consists of numbered statements and corresponding reasons that show an argument in logical order Two-column proof
A statement that can be proven Theorem
Created by: warnockj