Chapter 2 Flashcards
Conjecture
Unproven statement that is based on observations; the rule u make based on a pattern
Inductive Reasoning
Finding a pattern
Counterexample
Specific case that proves conjecture wrong
Conditional statement
Logical statement made up of a hypothesis and a conclusion
“Salisbury FH is awesome”
Negation
Opposite of an original statement
“Salisbury FH is NOT awesome”
Converse statement
Exchanges hypothesis and conclusion
“If it’s awesome, it’s Salisbury FH”
Inverse statement
Negate hypothesis and conclusion
“If its not Salisbury FH then it’s not awesome”
Contrapositive statement
Write converse, then negate both hypothesis and conclusion
“If its not awesome, its not Salisbury FH”
Equivalent statements
Conditional + Contrapositive
Converse + Inverse
When two statements are both true or both false
Perpendicular lines
Two lines that intersect to form a right angle
Biconditional statement
A statement that contains “if and only if”
Deductive reasoning
Uses facts to form logical argument
Ex:
If gwyn plays FH, and there is a FH game tonight, where will gwyn be tonight? The FH game!
Line perpendicular to a plane
A line is a line perpendicular to a plane if and only if the line intersects the plane in a point and is perpendicular to every line in the plane that intersects at that point
