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Hawkins - Geometry

Unit 2 Vocabulary

Conclusion The part of a conditional following then
Truth Value Whether a conditional is true or false
Negation A statement that has the opposite truth value
Conditional Another name for an if-then statement
Vertical Angle Two angles formed by intersecting lines
Hypothesis The part of a conditional following if
Converse Switches the hypothesis and the conclusion of a conditional statement
Inverse Negates both the hypothesis and conclusion of a conditional statement
Formal Proof A proof that contains statements and reasons organized into two columns
Adjacent Angle Two angles that share a common side
Supplementary Angles Two angles whose measures have a sum of 180
Deductive Reasoning The process of reasoning logically from given statements to a conclusion
Contrapositive Switches and negates both the hypothesis and conclusion of a conditional statement
Equivalent Statements Statements with the same truth value
Complementary Angles Two angles whose measures have a sum of 90
Good Definition A statement that can be written as a biconditional
Venn Diagram A diagram that uses circles to illustrate conditionals
Inductive Reasoning Reasoning based on patterns you observe
Algebraic Proof A proof that is made up of a series of algebraic statements
Indirect Reasoning A proof that begins with assuming the opposite of what you want to prove and showing there is a contradiction
Law of Syllogism Allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement
Law of Detachment If the conditional is true and its hypothesis is true, then the conclusion is true.
Counter Example An example or instance of the statement that makes the statement false
Biconditional Combining a conditional using the words if and only if when the conditional and the converse are both true
Created by: thawkins