2.1 - 2.2 geometry Flashcards
A ____ is a logical statement that has two parts, a hypothesis and a conclusion.
Conditional statement
When a conditional statement is written in if-then form, the “if” part contains the ____.
Hypothesis.
When a conditional statement is written in if-then form, the “then” part contains the ____.
Conclusion.
The _____ of a statement is the opposite of the original statement.
Negation (~)
To write the ____ of a conditional statement, exchange the hypothesis and the conclusion.
Converse
To write the ____ of a conditional statement, negate both the hypothesis and the conclusion.
Inverse
To write the ____ of a conditional statement, first write the converse. Then negate both the hypothesis and the conclusion.
Contrapositive
When 2 conditional statements are both true or both false, they are called ____
equivalent statements.
If 2 lines intersect to form a right angle, then they are ____.
perpendicular line
When a conditional statement and its converse are both true, you can write them as a single ____. This kind of statement contains the phrase “if and only if”
biconditional statement
The ____ of a statement is either true or false.
Truth value
A ______ is a table that shows the truth values for a hypothesis, conclusion, and conditional statement.
Truth table
A _____ is an unproven statement that is based on observations.
Conjecture
You use ____ when you find a pattern in specific cases and then write a conjecture for the general case.
Inductive reasoning
A _____ is a specific case for which the conjecture is false.
counterexample
